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'''Nyayapathi Venkata Vaikuntha Jagannatha Swamy''' was a [[Mathematical physics|mathematical physicist]]. He is well known for his contributions to the physics of [[Theory of relativity|relativistic]] [[harmonic oscillator]]<ref>{{cite journal | last=Swamy | first=N. V. V. J. | title=Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential | journal=Physical Review| volume=180 | issue=5 | date=1969-04-25 | doi=10.1103/physrev.180.1225 | pages=1225–1226| bibcode=1969PhRv..180.1225S }}</ref><ref>{{cite journal | last=Swamy | first=N. V. V. J. | title=Erratum: Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential | journal=Physical Review D| volume=1 | issue=4 | date=1970-02-15 | doi=10.1103/physrevd.1.1244 | pages=1244}}</ref><ref>{{cite journal | last1=Swamy | first1=N. V. V. J. | last2=Chaffin | first2=E. F. | title=A relativistic equivalent oscillator in cylindrical co-ordinates | journal=Il Nuovo Cimento B |series=Series 11| volume=25 | issue=1 | year=1975 | doi=10.1007/bf02737662 | pages=28–34| bibcode=1975NCimB..25...28S | s2cid=118394985 }}</ref><ref>{{cite journal | last1=Trecia Markes | first1=C. | last2=Swamy | first2=N. V. V. J. | title=A relativistic model of a charged oscillator in a magnetic field and its application | journal=Il Nuovo Cimento B | volume=69 | issue=2 | year=1982 | doi=10.1007/bf02721264 | pages=177–184| bibcode=1982NCimB..69..177T | s2cid=118413279 }}</ref>
'''Nyayapathi Venkata Vaikuntha Jagannatha Swamy''' was a [[Mathematical physics|mathematical physicist]]. He is well known for his contributions to the physics of [[Theory of relativity|relativistic]] [[harmonic oscillator]]<ref>{{cite journal | last=Swamy | first=N. V. V. J. | title=Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential | journal=Physical Review| volume=180 | issue=5 | date=1969-04-25 | doi=10.1103/physrev.180.1225 | pages=1225–1226| bibcode=1969PhRv..180.1225S }}</ref><ref>{{cite journal | last=Swamy | first=N. V. V. J. | title=Erratum: Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential | journal=Physical Review D| volume=1 | issue=4 | date=1970-02-15 | doi=10.1103/physrevd.1.1244 | page=1244| doi-access=free }}</ref><ref>{{cite journal | last1=Swamy | first1=N. V. V. J. | last2=Chaffin | first2=E. F. | title=A relativistic equivalent oscillator in cylindrical co-ordinates | journal=Il Nuovo Cimento B |series=Series 11| volume=25 | issue=1 | year=1975 | doi=10.1007/bf02737662 | pages=28–34| bibcode=1975NCimB..25...28S | s2cid=118394985 }}</ref><ref>{{cite journal | last1=Trecia Markes | first1=C. | last2=Swamy | first2=N. V. V. J. | title=A relativistic model of a charged oscillator in a magnetic field and its application | journal=Il Nuovo Cimento B | volume=69 | issue=2 | year=1982 | doi=10.1007/bf02721264 | pages=177–184| bibcode=1982NCimB..69..177T | s2cid=118413279 }}</ref>
which found wide applications in [[Atomic physics|Atomic]], [[Nuclear Physics|Nuclear]] and [[High Energy Physics]]. Some of the citations to Swamy's work on the relativistic oscillator are given in references.<ref>{{cite journal | last1=Kulikov | first1=D. A. | last2=Tutik | first2=R. S. | last3=Yaporoshenko | first3=A. P. | title=An alternative model for the Duffin-Kemmer-Petiau oscillator | journal=Modern Physics Letters A | volume=20 | issue=1 | date=2005-01-10 | doi=10.1142/s0217732305016324 | pages=43–49|arxiv=hep-th/0510152| s2cid=11305530 }}</ref><ref>{{cite journal | last=Lin | first=Qiong-Gui | title=Exact solutions for neutral particles in the field of a circularly polarized plane electromagnetic wave | journal=Physics Letters A| volume=342 | issue=1–2 | year=2005 | doi=10.1016/j.physleta.2005.05.051 | pages=67–76| bibcode=2005PhLA..342...67L }}</ref><ref>{{cite journal | last1=Lisboa | first1=R. | last2=Malheiro | first2=M. | last3=de Castro | first3=A. S. | last4=Alberto | first4=P. | last5=Fiolhais | first5=M. | title=Pseudospin symmetry and the relativistic harmonic oscillator | journal=Physical Review C| volume=69 | issue=2 | date=2004-02-27 | doi=10.1103/physrevc.69.024319 | page=024319|arxiv=nucl-th/0310071| bibcode=2004PhRvC..69b4319L | s2cid=7499466 }}</ref><ref>{{cite journal | last1=Bergstrom | first1=P. M. | last2=Kissel | first2=Lynn | last3=Pratt | first3=R. H. | title=Production or annihilation of positrons with bound electrons | journal=Physical Review A| volume=53 | issue=4 | date=1996-04-01 | doi=10.1103/physreva.53.2865 | pages=2865–2868| pmid=9913204 | bibcode=1996PhRvA..53.2865B }}</ref><ref>{{cite journal | last1=Samuel | first1=Mark A. | last2=Ellis | first2=John | last3=Karliner | first3=Marek | title=Comparison of the Padé Approximation Method to Perturbative QCD Calculations | journal=Physical Review Letters | volume=74 | issue=22 | date=1995-05-29 | doi=10.1103/physrevlett.74.4380 | pages=4380–4383| pmid=10058492 |arxiv=hep-ph/9503411| bibcode=1995PhRvL..74.4380S | s2cid=2925760 }}</ref><ref>{{cite journal | last1=Samuel | first1=Mark A. | last2=Li | first2=Guowen | last3=Steinfelds | first3=Eric | title=Estimating perturbative coefficients in quantum field theory and statistical physics | journal=Physical Review E| volume=51 | issue=5 | date=1995-05-01 | doi=10.1103/physreve.51.3911 | pages=3911–3933| pmid=9963100 | bibcode=1995PhRvE..51.3911S | url=https://digital.library.unt.edu/ark:/67531/metadc675317/ }}</ref><ref>{{cite journal | last=Seltzer | first=Stephen M. | title=Calculation of Photon Mass Energy-Transfer and Mass Energy-Absorption Coefficients | journal=Radiation Research| volume=136 | issue=2 | year=1993 | pages=147–170 | doi=10.2307/3578607 | jstor=3578607 | pmid=8248472 | bibcode=1993RadR..136..147S }}</ref><ref>{{cite journal | last1=Castaños | first1=O. | last2=Frank | first2=A. | last3=López | first3=R. | last4=Urrutia | first4=L. F. | title=Soluble extensions of the Dirac oscillator with exact and broken supersymmetry | journal=Physical Review D| volume=43 | issue=2 | date=1991-01-15 | doi=10.1103/physrevd.43.544 | pages=544–547| pmid=10013414 | bibcode=1991PhRvD..43..544C }}</ref><ref>{{cite journal | last1=Palathingal | first1=J. C. | last2=Asoka-Kumar | first2=P. | last3=Lynn | first3=K. G. | last4=Posada | first4=Y. | last5=Wu | first5=X. Y. | title=Single-quantum annihilation of positrons with shell-bound atomic electrons | journal=Physical Review Letters| volume=67 | issue=25 | date=1991-12-16 | doi=10.1103/physrevlett.67.3491 | pages=3491–3494| pmid=10044749 | bibcode=1991PhRvL..67.3491P }}</ref><ref>{{cite journal | last=Intemann | first=Robert L. | title=DoubleK-shell ionization in electron capture decay | journal=Physical Review C| volume=31 | issue=5 | date=1985-05-01 | doi=10.1103/physrevc.31.1961 | pages=1961–1964| pmid=9952745 | bibcode=1985PhRvC..31.1961I }}</ref><ref>{{cite journal | last=Sheth | first=C. V. | title=Momentum representation of Dirac relativistic wave functions | journal=Physical Review A| volume=30 | issue=3 | date=1984-09-01 | doi=10.1103/physreva.30.1537 | pages=1537–1539| bibcode=1984PhRvA..30.1537S }}</ref><ref>{{cite journal | last1=Bambynek | first1=W. | last2=Behrens | first2=H. | last3=Chen | first3=M. H. | last4=Crasemann | first4=B. | last5=Fitzpatrick | first5=M. L. | last6=Ledingham | first6=K. W. D. | last7=Genz | first7=H. | last8=Mutterer | first8=M. | last9=Intemann | first9=R. L. | title=Orbital electron capture by the nucleus | journal=Reviews of Modern Physics| volume=49 | issue=1 | date=1977-01-01 | doi=10.1103/revmodphys.49.77 | pages=77–221| bibcode=1977RvMP...49...77B | hdl=2060/19760016885 | hdl-access=free }}</ref><ref>{{cite journal | last1=Frankowski | first1=K. | last2=Pekeris | first2=C. L. | title=Logarithmic Terms in the Wave Functions of the Ground State of Two-Electron Atoms | journal=Physical Review| volume=146 | issue=1 | date=1966-06-03 | doi=10.1103/physrev.146.46 | pages=46–49| bibcode=1966PhRv..146...46F }}</ref><ref>{{cite journal | last=INTEMANN | first=R. L. | title=Relativistic Corrections in the Theory ofK-Electron Ejection DuringKCapture | journal=Physical Review| volume=178 | issue=4 | date=1969-02-20 | doi=10.1103/physrev.178.1543 | pages=1543–1550| bibcode=1969PhRv..178.1543I }}</ref> A review of the history and the generalized treatment of the relativistic harmonic oscillator is given by Lisboa et al.<ref>{{cite journal | last1=Lisboa | first1=R. | last2=Malheiro | first2=M. | last3=de Castro | first3=A. S. | last4=Alberto | first4=P. | last5=Fiolhais | first5=M. | title=Pseudospin symmetry and the relativistic harmonic oscillator | journal=Physical Review C| volume=69 | issue=2 | date=2004-02-27 | doi=10.1103/physrevc.69.024319 | page=024319|arxiv=nucl-th/0310071v2| bibcode=2004PhRvC..69b4319L | s2cid=7499466 }}</ref>
which found wide applications in [[Atomic physics|Atomic]], [[Nuclear Physics|Nuclear]] and [[High Energy Physics]]. Some of the citations to Swamy's work on the relativistic oscillator are given in references.<ref>{{cite journal | last1=Kulikov | first1=D. A. | last2=Tutik | first2=R. S. | last3=Yaporoshenko | first3=A. P. | title=An alternative model for the Duffin-Kemmer-Petiau oscillator | journal=Modern Physics Letters A | volume=20 | issue=1 | date=2005-01-10 | doi=10.1142/s0217732305016324 | pages=43–49|arxiv=hep-th/0510152| s2cid=11305530 }}</ref><ref>{{cite journal | last=Lin | first=Qiong-Gui | title=Exact solutions for neutral particles in the field of a circularly polarized plane electromagnetic wave | journal=Physics Letters A| volume=342 | issue=1–2 | year=2005 | doi=10.1016/j.physleta.2005.05.051 | pages=67–76| bibcode=2005PhLA..342...67L }}</ref><ref>{{cite journal | last1=Lisboa | first1=R. | last2=Malheiro | first2=M. | last3=de Castro | first3=A. S. | last4=Alberto | first4=P. | last5=Fiolhais | first5=M. | title=Pseudospin symmetry and the relativistic harmonic oscillator | journal=Physical Review C| volume=69 | issue=2 | date=2004-02-27 | doi=10.1103/physrevc.69.024319 | article-number=024319|arxiv=nucl-th/0310071| bibcode=2004PhRvC..69b4319L | s2cid=7499466 }}</ref><ref>{{cite journal | last1=Bergstrom | first1=P. M. | last2=Kissel | first2=Lynn | last3=Pratt | first3=R. H. | title=Production or annihilation of positrons with bound electrons | journal=Physical Review A| volume=53 | issue=4 | date=1996-04-01 | doi=10.1103/physreva.53.2865 | pages=2865–2868| pmid=9913204 | bibcode=1996PhRvA..53.2865B }}</ref><ref>{{cite journal | last1=Samuel | first1=Mark A. | last2=Ellis | first2=John | last3=Karliner | first3=Marek | title=Comparison of the Padé Approximation Method to Perturbative QCD Calculations | journal=Physical Review Letters | volume=74 | issue=22 | date=1995-05-29 | doi=10.1103/physrevlett.74.4380 | pages=4380–4383| pmid=10058492 |arxiv=hep-ph/9503411| bibcode=1995PhRvL..74.4380S | s2cid=2925760 }}</ref><ref>{{cite journal | last1=Samuel | first1=Mark A. | last2=Li | first2=Guowen | last3=Steinfelds | first3=Eric | title=Estimating perturbative coefficients in quantum field theory and statistical physics | journal=Physical Review E| volume=51 | issue=5 | date=1995-05-01 | doi=10.1103/physreve.51.3911 | pages=3911–3933| pmid=9963100 | bibcode=1995PhRvE..51.3911S | url=https://digital.library.unt.edu/ark:/67531/metadc675317/ }}</ref><ref>{{cite journal | last=Seltzer | first=Stephen M. | title=Calculation of Photon Mass Energy-Transfer and Mass Energy-Absorption Coefficients | journal=Radiation Research| volume=136 | issue=2 | year=1993 | pages=147–170 | doi=10.2307/3578607 | jstor=3578607 | pmid=8248472 | bibcode=1993RadR..136..147S }}</ref><ref>{{cite journal | last1=Castaños | first1=O. | last2=Frank | first2=A. | last3=López | first3=R. | last4=Urrutia | first4=L. F. | title=Soluble extensions of the Dirac oscillator with exact and broken supersymmetry | journal=Physical Review D| volume=43 | issue=2 | date=1991-01-15 | doi=10.1103/physrevd.43.544 | pages=544–547| pmid=10013414 | bibcode=1991PhRvD..43..544C }}</ref><ref>{{cite journal | last1=Palathingal | first1=J. C. | last2=Asoka-Kumar | first2=P. | last3=Lynn | first3=K. G. | last4=Posada | first4=Y. | last5=Wu | first5=X. Y. | title=Single-quantum annihilation of positrons with shell-bound atomic electrons | journal=Physical Review Letters| volume=67 | issue=25 | date=1991-12-16 | doi=10.1103/physrevlett.67.3491 | pages=3491–3494| pmid=10044749 | bibcode=1991PhRvL..67.3491P }}</ref><ref>{{cite journal | last=Intemann | first=Robert L. | title=DoubleK-shell ionization in electron capture decay | journal=Physical Review C| volume=31 | issue=5 | date=1985-05-01 | doi=10.1103/physrevc.31.1961 | pages=1961–1964| pmid=9952745 | bibcode=1985PhRvC..31.1961I }}</ref><ref>{{cite journal | last=Sheth | first=C. V. | title=Momentum representation of Dirac relativistic wave functions | journal=Physical Review A| volume=30 | issue=3 | date=1984-09-01 | doi=10.1103/physreva.30.1537 | pages=1537–1539| bibcode=1984PhRvA..30.1537S }}</ref><ref>{{cite journal | last1=Bambynek | first1=W. | last2=Behrens | first2=H. | last3=Chen | first3=M. H. | last4=Crasemann | first4=B. | last5=Fitzpatrick | first5=M. L. | last6=Ledingham | first6=K. W. D. | last7=Genz | first7=H. | last8=Mutterer | first8=M. | last9=Intemann | first9=R. L. | title=Orbital electron capture by the nucleus | journal=Reviews of Modern Physics| volume=49 | issue=1 | date=1977-01-01 | doi=10.1103/revmodphys.49.77 | pages=77–221| bibcode=1977RvMP...49...77B | hdl=2060/19760016885 | hdl-access=free }}</ref><ref>{{cite journal | last1=Frankowski | first1=K. | last2=Pekeris | first2=C. L. | title=Logarithmic Terms in the Wave Functions of the Ground State of Two-Electron Atoms | journal=Physical Review| volume=146 | issue=1 | date=1966-06-03 | doi=10.1103/physrev.146.46 | pages=46–49| bibcode=1966PhRv..146...46F }}</ref><ref>{{cite journal | last=INTEMANN | first=R. L. | title=Relativistic Corrections in the Theory ofK-Electron Ejection DuringKCapture | journal=Physical Review| volume=178 | issue=4 | date=1969-02-20 | doi=10.1103/physrev.178.1543 | pages=1543–1550| bibcode=1969PhRv..178.1543I }}</ref> A review of the history and the generalized treatment of the relativistic harmonic oscillator is given by Lisboa et al.<ref>{{cite journal | last1=Lisboa | first1=R. | last2=Malheiro | first2=M. | last3=de Castro | first3=A. S. | last4=Alberto | first4=P. | last5=Fiolhais | first5=M. | title=Pseudospin symmetry and the relativistic harmonic oscillator | journal=Physical Review C| volume=69 | issue=2 | date=2004-02-27 | doi=10.1103/physrevc.69.024319 | article-number=024319|arxiv=nucl-th/0310071v2| bibcode=2004PhRvC..69b4319L | s2cid=7499466 }}</ref>


He is also well known for his [[Group theory|group theoretical]] contributions to mathematical physics. His widely used textbook co-authored with Mark A. Samuel,  
He is also well known for his [[Group theory|group theoretical]] contributions to mathematical physics. His widely used textbook co-authored with Mark A. Samuel,  
Line 12: Line 12:
[[Oklahoma State University]] until his retirement.
[[Oklahoma State University]] until his retirement.


Since his retirement in mid eighties, he used his own funds to visit India and teach at various academic institutions.<ref>{{cite web|url=http://articles.timesofindia.indiatimes.com/2009-09-05/vadodara/28109098_1_educational-institutes-indian-and-american-education-average-american-student|archive-url=https://web.archive.org/web/20121025030513/http://articles.timesofindia.indiatimes.com/2009-09-05/vadodara/28109098_1_educational-institutes-indian-and-american-education-average-american-student|url-status=dead|archive-date=2012-10-25|title=This US prof spends his pension to teach in India|date=2009-09-05|work=[[The Times of India]]|access-date=2020-03-21}}</ref>
Since his retirement in mid eighties, he used his own funds to visit India and teach at various academic institutions.<ref>{{cite web|url=http://articles.timesofindia.indiatimes.com/2009-09-05/vadodara/28109098_1_educational-institutes-indian-and-american-education-average-american-student|archive-url=https://web.archive.org/web/20121025030513/http://articles.timesofindia.indiatimes.com/2009-09-05/vadodara/28109098_1_educational-institutes-indian-and-american-education-average-american-student|archive-date=2012-10-25|title=This US prof spends his pension to teach in India|date=2009-09-05|work=[[The Times of India]]|access-date=2020-03-21}}</ref>


Dr Swamy died in his hometown of Visakhapatnam in India on 13 June 2013.<ref>{{Cite web |url=http://physics.okstate.edu/www/rss/news.php |title=Archived copy |access-date=2013-06-23 |archive-url=https://web.archive.org/web/20130223095702/http://physics.okstate.edu/www/rss/news.php |archive-date=2013-02-23 |url-status=dead }}</ref>
Swamy died in his hometown of Visakhapatnam, India, on 13 June 2013.<ref>{{Cite web |url=http://physics.okstate.edu/www/rss/news.php |title=News - Oklahoma State University Physics Department |access-date=2013-06-23 |archive-url=https://web.archive.org/web/20130223095702/http://physics.okstate.edu/www/rss/news.php |archive-date=2013-02-23 }}</ref>


==Books==
==Books==

Latest revision as of 08:27, 19 December 2025

Nyayapathi Venkata Vaikuntha Jagannatha Swamy was a mathematical physicist. He is well known for his contributions to the physics of relativistic harmonic oscillator[1][2][3][4] which found wide applications in Atomic, Nuclear and High Energy Physics. Some of the citations to Swamy's work on the relativistic oscillator are given in references.[5][6][7][8][9][10][11][12][13][14][15][16][17][18] A review of the history and the generalized treatment of the relativistic harmonic oscillator is given by Lisboa et al.[19]

He is also well known for his group theoretical contributions to mathematical physics. His widely used textbook co-authored with Mark A. Samuel, "Group Theory Made Easy for Scientists and Engineers" (Wiley-Interscience 1979), was very popular.

L.C. Bidenharn and Swamy published very influential papers on the relativistic Kepler problem.[20][21] They introduced a symmetric Hamiltonian and solved the Dirac Equation for the Hydrogen atom. The history of this effort is given in Harold V. McIntosh's website.

Background and career[edit | edit source]

Swamy received a BS degree in Mathematics, a BS and MS degree in Physics all from Bombay University, and a PhD degree in Physics from Florida State University. He had lectured at many universities, and was a guest scientist in Jülich, Germany and Cambridge University in UK. He had served as a professor of physics at Oklahoma State University until his retirement.

Since his retirement in mid eighties, he used his own funds to visit India and teach at various academic institutions.[22]

Swamy died in his hometown of Visakhapatnam, India, on 13 June 2013.[23]

Books[edit | edit source]

  • Nyayapathi V.V.J. Swamy and Mark A. Samuel, Group Theory Made Easy for Scientists and Engineers, Wiley-Interscience, 1979, ISBN 0-471-05128-4

References[edit | edit source]

  1. ↑ Swamy, N. V. V. J. (1969-04-25). "Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential". Physical Review. 180 (5): 1225–1226. Bibcode:1969PhRv..180.1225S. doi:10.1103/physrev.180.1225.
  2. ↑ Swamy, N. V. V. J. (1970-02-15). "Erratum: Exact Solution of the Dirac Equation with an Equivalent Oscillator Potential". Physical Review D. 1 (4): 1244. doi:10.1103/physrevd.1.1244.
  3. ↑ Swamy, N. V. V. J.; Chaffin, E. F. (1975). "A relativistic equivalent oscillator in cylindrical co-ordinates". Il Nuovo Cimento B. Series 11. 25 (1): 28–34. Bibcode:1975NCimB..25...28S. doi:10.1007/bf02737662. S2CID 118394985.
  4. ↑ Trecia Markes, C.; Swamy, N. V. V. J. (1982). "A relativistic model of a charged oscillator in a magnetic field and its application". Il Nuovo Cimento B. 69 (2): 177–184. Bibcode:1982NCimB..69..177T. doi:10.1007/bf02721264. S2CID 118413279.
  5. ↑ Kulikov, D. A.; Tutik, R. S.; Yaporoshenko, A. P. (2005-01-10). "An alternative model for the Duffin-Kemmer-Petiau oscillator". Modern Physics Letters A. 20 (1): 43–49. arXiv:hep-th/0510152. doi:10.1142/s0217732305016324. S2CID 11305530.
  6. ↑ Lin, Qiong-Gui (2005). "Exact solutions for neutral particles in the field of a circularly polarized plane electromagnetic wave". Physics Letters A. 342 (1–2): 67–76. Bibcode:2005PhLA..342...67L. doi:10.1016/j.physleta.2005.05.051.
  7. ↑ Lisboa, R.; Malheiro, M.; de Castro, A. S.; Alberto, P.; Fiolhais, M. (2004-02-27). "Pseudospin symmetry and the relativistic harmonic oscillator". Physical Review C. 69 (2) 024319. arXiv:nucl-th/0310071. Bibcode:2004PhRvC..69b4319L. doi:10.1103/physrevc.69.024319. S2CID 7499466.
  8. ↑ Bergstrom, P. M.; Kissel, Lynn; Pratt, R. H. (1996-04-01). "Production or annihilation of positrons with bound electrons". Physical Review A. 53 (4): 2865–2868. Bibcode:1996PhRvA..53.2865B. doi:10.1103/physreva.53.2865. PMID 9913204.
  9. ↑ Samuel, Mark A.; Ellis, John; Karliner, Marek (1995-05-29). "Comparison of the Padé Approximation Method to Perturbative QCD Calculations". Physical Review Letters. 74 (22): 4380–4383. arXiv:hep-ph/9503411. Bibcode:1995PhRvL..74.4380S. doi:10.1103/physrevlett.74.4380. PMID 10058492. S2CID 2925760.
  10. ↑ Samuel, Mark A.; Li, Guowen; Steinfelds, Eric (1995-05-01). "Estimating perturbative coefficients in quantum field theory and statistical physics". Physical Review E. 51 (5): 3911–3933. Bibcode:1995PhRvE..51.3911S. doi:10.1103/physreve.51.3911. PMID 9963100.
  11. ↑ Seltzer, Stephen M. (1993). "Calculation of Photon Mass Energy-Transfer and Mass Energy-Absorption Coefficients". Radiation Research. 136 (2): 147–170. Bibcode:1993RadR..136..147S. doi:10.2307/3578607. JSTOR 3578607. PMID 8248472.
  12. ↑ Castaños, O.; Frank, A.; López, R.; Urrutia, L. F. (1991-01-15). "Soluble extensions of the Dirac oscillator with exact and broken supersymmetry". Physical Review D. 43 (2): 544–547. Bibcode:1991PhRvD..43..544C. doi:10.1103/physrevd.43.544. PMID 10013414.
  13. ↑ Palathingal, J. C.; Asoka-Kumar, P.; Lynn, K. G.; Posada, Y.; Wu, X. Y. (1991-12-16). "Single-quantum annihilation of positrons with shell-bound atomic electrons". Physical Review Letters. 67 (25): 3491–3494. Bibcode:1991PhRvL..67.3491P. doi:10.1103/physrevlett.67.3491. PMID 10044749.
  14. ↑ Intemann, Robert L. (1985-05-01). "DoubleK-shell ionization in electron capture decay". Physical Review C. 31 (5): 1961–1964. Bibcode:1985PhRvC..31.1961I. doi:10.1103/physrevc.31.1961. PMID 9952745.
  15. ↑ Sheth, C. V. (1984-09-01). "Momentum representation of Dirac relativistic wave functions". Physical Review A. 30 (3): 1537–1539. Bibcode:1984PhRvA..30.1537S. doi:10.1103/physreva.30.1537.
  16. ↑ Bambynek, W.; Behrens, H.; Chen, M. H.; Crasemann, B.; Fitzpatrick, M. L.; Ledingham, K. W. D.; Genz, H.; Mutterer, M.; Intemann, R. L. (1977-01-01). "Orbital electron capture by the nucleus". Reviews of Modern Physics. 49 (1): 77–221. Bibcode:1977RvMP...49...77B. doi:10.1103/revmodphys.49.77. hdl:2060/19760016885.
  17. ↑ Frankowski, K.; Pekeris, C. L. (1966-06-03). "Logarithmic Terms in the Wave Functions of the Ground State of Two-Electron Atoms". Physical Review. 146 (1): 46–49. Bibcode:1966PhRv..146...46F. doi:10.1103/physrev.146.46.
  18. ↑ INTEMANN, R. L. (1969-02-20). "Relativistic Corrections in the Theory ofK-Electron Ejection DuringKCapture". Physical Review. 178 (4): 1543–1550. Bibcode:1969PhRv..178.1543I. doi:10.1103/physrev.178.1543.
  19. ↑ Lisboa, R.; Malheiro, M.; de Castro, A. S.; Alberto, P.; Fiolhais, M. (2004-02-27). "Pseudospin symmetry and the relativistic harmonic oscillator". Physical Review C. 69 (2) 024319. arXiv:nucl-th/0310071v2. Bibcode:2004PhRvC..69b4319L. doi:10.1103/physrevc.69.024319. S2CID 7499466.
  20. ↑ Biedenharn, L. C. (1962-04-15). "Remarks on the Relativistic Kepler Problem". Physical Review. 126 (2): 845–851. Bibcode:1962PhRv..126..845B. doi:10.1103/physrev.126.845.
  21. ↑ Biedenharn, L. C.; Swamy, N. V. V. J. (1964-03-09). "Remarks on the Relativistic Kepler Problem. II. Approximate Dirac-Coulomb Hamiltonian Possessing Two Vector Invariants". Physical Review. 133 (5B): B1353–B1360. Bibcode:1964PhRv..133.1353B. doi:10.1103/physrev.133.b1353.
  22. ↑ "This US prof spends his pension to teach in India". The Times of India. 2009-09-05. Archived from the original on 2012-10-25. Retrieved 2020-03-21.
  23. ↑ "News - Oklahoma State University Physics Department". Archived from the original on 2013-02-23. Retrieved 2013-06-23.
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