Trigonometric Rosen–Morse potential (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Trigonometric Rosen–Morse potential" in English language version.

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22doi.org

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17harvard.edu

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14semanticscholar.org

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13arxiv.org

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1jstor.org

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1numdam.org

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1zenodo.org

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1nih.gov

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1handle.net

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arxiv.org

Pouria, P. (2010). "Modification of Coulomb's law in closed spaces". Am. J. Phys. 78 (4): 403. arXiv:0912.0225. Bibcode:2010AmJPh..78..403P. doi:10.1119/1.3272020. S2CID 115166698.
Kirchbach, M.; Compean, C. B. (2016). "Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 52 (7): 210. arXiv:1608.05041. Bibcode:2016EPJA...52..210K. doi:10.1140/epja/i2016-16210-3. S2CID 118370681.
Raposo, A. P.; Weber, H. J.; Álvarez Castillo, D. E.; Kirchbach, M. (2007). "Romanovski polynomials in selected physics problems". Cent. Eur. J. Phys. 5 (3): 253–284. arXiv:0706.3897. Bibcode:2007CEJPh...5..253R. doi:10.2478/s11534-007-0018-5. S2CID 119120266.
Caillol, J. M.; Trulsson, M. (2014). "A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere". J. Chem. Phys. 141 (12): 124111. arXiv:1407.7739. Bibcode:2014JChPh.141l4111C. doi:10.1063/1.4896181. PMID 25273416. S2CID 5818844.
Serna, M.; Cahill, K. (2003). "Riemannian gauge theory and charge quantization". Journal of High Energy Physics. 2003 (10): 054. arXiv:hep-th/0205250. Bibcode:2003JHEP...10..054S. doi:10.1088/1126-6708/2003/10/054. S2CID 6573051.
Deur, A.; Burkert, V.; Chen, J. P.; Korsch, W. (2008). "Determination of the effective strong coupling constant $\alpha _{s,g_{1}}\left(Q^{2}\right)$ from CLAS spin structure function data". Phys. Lett. B. 665 (5): 349–351. arXiv:0803.4119. Bibcode:2008PhLB..665..349D. doi:10.1016/j.physletb.2008.06.049. S2CID 118442505.
Aldrovandi, R.; Beltrán Almeida, J. P.; Pereira, J. G. (2007). "de Sitter special relativity". Class. Quantum Grav. 24 (6): 1385–1404. arXiv:gr-qc/0606122. Bibcode:2007CQGra..24.1385A. doi:10.1088/0264-9381/24/6/002. S2CID 11703342.
Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P. (2003). "Gauge/string duality for QCD conformal operators". Nucl. Phys. B. 667 (1–2): 3–54. arXiv:hep-th/0304028. Bibcode:2003NuPhB.667....3B. doi:10.1016/S0550-3213(03)00542-X. S2CID 15273221.
Gorsky, A. S. (2005). "Spin chains and gauge-string duality". Theor. Math. Phys. 142 (2): 153. arXiv:hep-th/0308182. doi:10.1007/s11232-005-0042-9. S2CID 446917.
Kirchbach, M.; Compean, C. B. (2018). "Proton's electromagnetic form factors from a non-power confinement potential". Nucl. Phys. A. 980: 32. arXiv:1810.03665. Bibcode:2018NuPhA.980...32K. doi:10.1016/j.nuclphysa.2018.09.083. S2CID 119494972.
Aharony, O.; Marsano, J.; Minwalla, S.; Papadodimas, K.; Van Raamsdonk, M. (2004). "The Hagedorn deconfinement phase transition in weakly coupled large N gauge theories". Adv. Theor. Math. Phys. 8 (4): 603–696. arXiv:hep-th/0310285. doi:10.4310/ATMP.2004.v8.n4.a1.
Hands, S.; Hollowood, T. J.; Myers, J. C. (2010). "QCD with Chemical Potential in a Small Hyperspherical Box". Journal of High Energy Physics. 2010 (7): 86. arXiv:1003.5813. Bibcode:2010JHEP...07..086H. doi:10.1007/JHEP07(2010)086. S2CID 119258554.
Bahroz Brzo, Aram; Alvarez-Castillo, David (2021). "Thermodynamic Properties of a Quantum Gas of Mesons Considered as Color Charge Dipoles in a Three-Dimensional Space of Constant Curvature". Modern Physics Letters A. 36 (15): 2150095-1. arXiv:2010.14642. doi:10.1142/S0217732321500954. S2CID 225094121.

doi.org

Rosen, N.; Morse, P. M. (1932). "On the Vibrations of Polyatomic Molecules". Phys. Rev. 42 (2): 210. Bibcode:1932PhRv...42..210R. doi:10.1103/PhysRev.42.210.
Barut, A. O.; Wilson, R. (1985). "On the dynamical group of the Kepler problem in a curved space of constant curvature". Phys. Lett. A. 110 (7–8): 351. Bibcode:1985PhLA..110..351B. doi:10.1016/0375-9601(85)90052-0.
Pouria, P. (2010). "Modification of Coulomb's law in closed spaces". Am. J. Phys. 78 (4): 403. arXiv:0912.0225. Bibcode:2010AmJPh..78..403P. doi:10.1119/1.3272020. S2CID 115166698.
Kirchbach, M.; Compean, C. B. (2016). "Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 52 (7): 210. arXiv:1608.05041. Bibcode:2016EPJA...52..210K. doi:10.1140/epja/i2016-16210-3. S2CID 118370681.
Fubini, S.; Hanson, A. J.; Jackiw, R. (1973). "New Approach to Field Theory". Phys. Rev. D. 7 (6): 1732. Bibcode:1973PhRvD...7.1732F. doi:10.1103/PhysRevD.7.1732.
Bessis, N.; Bessis, G.; Shamseddine, R. (1982). "Atomic fine structure in a space of constant curvature". J. Phys. A: Math. Gen. 15 (10): 3131. Bibcode:1982JPhA...15.3131B. doi:10.1088/0305-4470/15/10/017.
Routh, E. J. (1884). "On some properties of certain solutions of a differential equation of second order". Proc. London Math. Soc. 16: 245. doi:10.1112/plms/s1-16.1.245.
Raposo, A. P.; Weber, H. J.; Álvarez Castillo, D. E.; Kirchbach, M. (2007). "Romanovski polynomials in selected physics problems". Cent. Eur. J. Phys. 5 (3): 253–284. arXiv:0706.3897. Bibcode:2007CEJPh...5..253R. doi:10.2478/s11534-007-0018-5. S2CID 119120266.
Caillol, J. M. (1993). "A new potential for the numerical simulations of electrolyte solutions on a hypersphere". J. Chem. Phys. 99 (11): 8953. Bibcode:1993JChPh..99.8953C. doi:10.1063/1.465565.
Caillol, J. M.; Trulsson, M. (2014). "A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere". J. Chem. Phys. 141 (12): 124111. arXiv:1407.7739. Bibcode:2014JChPh.141l4111C. doi:10.1063/1.4896181. PMID 25273416. S2CID 5818844.
Caillol, J. M.; Levesque, D. (1991). "Numerical simulations of homogeneous and inhomogeneous ionic systems: An efficient alternative to the Ewald method". J. Chem. Phys. 94 (1): 8953. Bibcode:1991JChPh..94..597C. doi:10.1063/1.460326.
Serna, M.; Cahill, K. (2003). "Riemannian gauge theory and charge quantization". Journal of High Energy Physics. 2003 (10): 054. arXiv:hep-th/0205250. Bibcode:2003JHEP...10..054S. doi:10.1088/1126-6708/2003/10/054. S2CID 6573051.
Deur, A.; Burkert, V.; Chen, J. P.; Korsch, W. (2008). "Determination of the effective strong coupling constant $\alpha _{s,g_{1}}\left(Q^{2}\right)$ from CLAS spin structure function data". Phys. Lett. B. 665 (5): 349–351. arXiv:0803.4119. Bibcode:2008PhLB..665..349D. doi:10.1016/j.physletb.2008.06.049. S2CID 118442505.
Kirchbach, M.; Compean, C. B. (2017). "Addendum to: Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 53 (4): 65. Bibcode:2017EPJA...53...65K. doi:10.1140/epja/i2017-12269-6. S2CID 195307166.
Aldrovandi, R.; Beltrán Almeida, J. P.; Pereira, J. G. (2007). "de Sitter special relativity". Class. Quantum Grav. 24 (6): 1385–1404. arXiv:gr-qc/0606122. Bibcode:2007CQGra..24.1385A. doi:10.1088/0264-9381/24/6/002. S2CID 11703342.
Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P. (2003). "Gauge/string duality for QCD conformal operators". Nucl. Phys. B. 667 (1–2): 3–54. arXiv:hep-th/0304028. Bibcode:2003NuPhB.667....3B. doi:10.1016/S0550-3213(03)00542-X. S2CID 15273221.
Gorsky, A. S. (2005). "Spin chains and gauge-string duality". Theor. Math. Phys. 142 (2): 153. arXiv:hep-th/0308182. doi:10.1007/s11232-005-0042-9. S2CID 446917.
Kirchbach, M.; Compean, C. B. (2018). "Proton's electromagnetic form factors from a non-power confinement potential". Nucl. Phys. A. 980: 32. arXiv:1810.03665. Bibcode:2018NuPhA.980...32K. doi:10.1016/j.nuclphysa.2018.09.083. S2CID 119494972.
Aharony, O.; Marsano, J.; Minwalla, S.; Papadodimas, K.; Van Raamsdonk, M. (2004). "The Hagedorn deconfinement phase transition in weakly coupled large N gauge theories". Adv. Theor. Math. Phys. 8 (4): 603–696. arXiv:hep-th/0310285. doi:10.4310/ATMP.2004.v8.n4.a1.
Hands, S.; Hollowood, T. J.; Myers, J. C. (2010). "QCD with Chemical Potential in a Small Hyperspherical Box". Journal of High Energy Physics. 2010 (7): 86. arXiv:1003.5813. Bibcode:2010JHEP...07..086H. doi:10.1007/JHEP07(2010)086. S2CID 119258554.
Blinder, S. M. (1996). "Canonical partition function for the hydrogen atom in curved space". J. Math. Chem. 19: 43. doi:10.1007/BF01165129. hdl:2027.42/43064. S2CID 25491310.
Bahroz Brzo, Aram; Alvarez-Castillo, David (2021). "Thermodynamic Properties of a Quantum Gas of Mesons Considered as Color Charge Dipoles in a Three-Dimensional Space of Constant Curvature". Modern Physics Letters A. 36 (15): 2150095-1. arXiv:2010.14642. doi:10.1142/S0217732321500954. S2CID 225094121.

handle.net

hdl.handle.net

Blinder, S. M. (1996). "Canonical partition function for the hydrogen atom in curved space". J. Math. Chem. 19: 43. doi:10.1007/BF01165129. hdl:2027.42/43064. S2CID 25491310.

harvard.edu

ui.adsabs.harvard.edu

Rosen, N.; Morse, P. M. (1932). "On the Vibrations of Polyatomic Molecules". Phys. Rev. 42 (2): 210. Bibcode:1932PhRv...42..210R. doi:10.1103/PhysRev.42.210.
Barut, A. O.; Wilson, R. (1985). "On the dynamical group of the Kepler problem in a curved space of constant curvature". Phys. Lett. A. 110 (7–8): 351. Bibcode:1985PhLA..110..351B. doi:10.1016/0375-9601(85)90052-0.
Pouria, P. (2010). "Modification of Coulomb's law in closed spaces". Am. J. Phys. 78 (4): 403. arXiv:0912.0225. Bibcode:2010AmJPh..78..403P. doi:10.1119/1.3272020. S2CID 115166698.
Kirchbach, M.; Compean, C. B. (2016). "Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 52 (7): 210. arXiv:1608.05041. Bibcode:2016EPJA...52..210K. doi:10.1140/epja/i2016-16210-3. S2CID 118370681.
Fubini, S.; Hanson, A. J.; Jackiw, R. (1973). "New Approach to Field Theory". Phys. Rev. D. 7 (6): 1732. Bibcode:1973PhRvD...7.1732F. doi:10.1103/PhysRevD.7.1732.
Bessis, N.; Bessis, G.; Shamseddine, R. (1982). "Atomic fine structure in a space of constant curvature". J. Phys. A: Math. Gen. 15 (10): 3131. Bibcode:1982JPhA...15.3131B. doi:10.1088/0305-4470/15/10/017.
Raposo, A. P.; Weber, H. J.; Álvarez Castillo, D. E.; Kirchbach, M. (2007). "Romanovski polynomials in selected physics problems". Cent. Eur. J. Phys. 5 (3): 253–284. arXiv:0706.3897. Bibcode:2007CEJPh...5..253R. doi:10.2478/s11534-007-0018-5. S2CID 119120266.
Caillol, J. M. (1993). "A new potential for the numerical simulations of electrolyte solutions on a hypersphere". J. Chem. Phys. 99 (11): 8953. Bibcode:1993JChPh..99.8953C. doi:10.1063/1.465565.
Caillol, J. M.; Trulsson, M. (2014). "A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere". J. Chem. Phys. 141 (12): 124111. arXiv:1407.7739. Bibcode:2014JChPh.141l4111C. doi:10.1063/1.4896181. PMID 25273416. S2CID 5818844.
Caillol, J. M.; Levesque, D. (1991). "Numerical simulations of homogeneous and inhomogeneous ionic systems: An efficient alternative to the Ewald method". J. Chem. Phys. 94 (1): 8953. Bibcode:1991JChPh..94..597C. doi:10.1063/1.460326.
Serna, M.; Cahill, K. (2003). "Riemannian gauge theory and charge quantization". Journal of High Energy Physics. 2003 (10): 054. arXiv:hep-th/0205250. Bibcode:2003JHEP...10..054S. doi:10.1088/1126-6708/2003/10/054. S2CID 6573051.
Deur, A.; Burkert, V.; Chen, J. P.; Korsch, W. (2008). "Determination of the effective strong coupling constant $\alpha _{s,g_{1}}\left(Q^{2}\right)$ from CLAS spin structure function data". Phys. Lett. B. 665 (5): 349–351. arXiv:0803.4119. Bibcode:2008PhLB..665..349D. doi:10.1016/j.physletb.2008.06.049. S2CID 118442505.
Kirchbach, M.; Compean, C. B. (2017). "Addendum to: Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 53 (4): 65. Bibcode:2017EPJA...53...65K. doi:10.1140/epja/i2017-12269-6. S2CID 195307166.
Aldrovandi, R.; Beltrán Almeida, J. P.; Pereira, J. G. (2007). "de Sitter special relativity". Class. Quantum Grav. 24 (6): 1385–1404. arXiv:gr-qc/0606122. Bibcode:2007CQGra..24.1385A. doi:10.1088/0264-9381/24/6/002. S2CID 11703342.
Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P. (2003). "Gauge/string duality for QCD conformal operators". Nucl. Phys. B. 667 (1–2): 3–54. arXiv:hep-th/0304028. Bibcode:2003NuPhB.667....3B. doi:10.1016/S0550-3213(03)00542-X. S2CID 15273221.
Kirchbach, M.; Compean, C. B. (2018). "Proton's electromagnetic form factors from a non-power confinement potential". Nucl. Phys. A. 980: 32. arXiv:1810.03665. Bibcode:2018NuPhA.980...32K. doi:10.1016/j.nuclphysa.2018.09.083. S2CID 119494972.
Hands, S.; Hollowood, T. J.; Myers, J. C. (2010). "QCD with Chemical Potential in a Small Hyperspherical Box". Journal of High Energy Physics. 2010 (7): 86. arXiv:1003.5813. Bibcode:2010JHEP...07..086H. doi:10.1007/JHEP07(2010)086. S2CID 119258554.

jstor.org

Schrödinger, E. (1941). "The Factorization of the Hypergeometric Equation". Proc. Roy. Irish Acad. A. 47: 53–54. JSTOR 20488434.

nih.gov

pubmed.ncbi.nlm.nih.gov

Caillol, J. M.; Trulsson, M. (2014). "A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere". J. Chem. Phys. 141 (12): 124111. arXiv:1407.7739. Bibcode:2014JChPh.141l4111C. doi:10.1063/1.4896181. PMID 25273416. S2CID 5818844.

numdam.org

Alertz, B. (1990). "Electrodynamics in Robertson-Walker spacetimes" (PDF). Annales de l'Institut Henri Poincaré A. 53 (3): 319.

semanticscholar.org

api.semanticscholar.org

Pouria, P. (2010). "Modification of Coulomb's law in closed spaces". Am. J. Phys. 78 (4): 403. arXiv:0912.0225. Bibcode:2010AmJPh..78..403P. doi:10.1119/1.3272020. S2CID 115166698.
Kirchbach, M.; Compean, C. B. (2016). "Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 52 (7): 210. arXiv:1608.05041. Bibcode:2016EPJA...52..210K. doi:10.1140/epja/i2016-16210-3. S2CID 118370681.
Raposo, A. P.; Weber, H. J.; Álvarez Castillo, D. E.; Kirchbach, M. (2007). "Romanovski polynomials in selected physics problems". Cent. Eur. J. Phys. 5 (3): 253–284. arXiv:0706.3897. Bibcode:2007CEJPh...5..253R. doi:10.2478/s11534-007-0018-5. S2CID 119120266.
Caillol, J. M.; Trulsson, M. (2014). "A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere". J. Chem. Phys. 141 (12): 124111. arXiv:1407.7739. Bibcode:2014JChPh.141l4111C. doi:10.1063/1.4896181. PMID 25273416. S2CID 5818844.
Serna, M.; Cahill, K. (2003). "Riemannian gauge theory and charge quantization". Journal of High Energy Physics. 2003 (10): 054. arXiv:hep-th/0205250. Bibcode:2003JHEP...10..054S. doi:10.1088/1126-6708/2003/10/054. S2CID 6573051.
Deur, A.; Burkert, V.; Chen, J. P.; Korsch, W. (2008). "Determination of the effective strong coupling constant $\alpha _{s,g_{1}}\left(Q^{2}\right)$ from CLAS spin structure function data". Phys. Lett. B. 665 (5): 349–351. arXiv:0803.4119. Bibcode:2008PhLB..665..349D. doi:10.1016/j.physletb.2008.06.049. S2CID 118442505.
Kirchbach, M.; Compean, C. B. (2017). "Addendum to: Modelling duality between bound and resonant meson spectra by means of free quantum motions on the de Sitter space-time $dS_{4}$ ". Eur. Phys. J. A. 53 (4): 65. Bibcode:2017EPJA...53...65K. doi:10.1140/epja/i2017-12269-6. S2CID 195307166.
Aldrovandi, R.; Beltrán Almeida, J. P.; Pereira, J. G. (2007). "de Sitter special relativity". Class. Quantum Grav. 24 (6): 1385–1404. arXiv:gr-qc/0606122. Bibcode:2007CQGra..24.1385A. doi:10.1088/0264-9381/24/6/002. S2CID 11703342.
Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P. (2003). "Gauge/string duality for QCD conformal operators". Nucl. Phys. B. 667 (1–2): 3–54. arXiv:hep-th/0304028. Bibcode:2003NuPhB.667....3B. doi:10.1016/S0550-3213(03)00542-X. S2CID 15273221.
Gorsky, A. S. (2005). "Spin chains and gauge-string duality". Theor. Math. Phys. 142 (2): 153. arXiv:hep-th/0308182. doi:10.1007/s11232-005-0042-9. S2CID 446917.
Kirchbach, M.; Compean, C. B. (2018). "Proton's electromagnetic form factors from a non-power confinement potential". Nucl. Phys. A. 980: 32. arXiv:1810.03665. Bibcode:2018NuPhA.980...32K. doi:10.1016/j.nuclphysa.2018.09.083. S2CID 119494972.
Hands, S.; Hollowood, T. J.; Myers, J. C. (2010). "QCD with Chemical Potential in a Small Hyperspherical Box". Journal of High Energy Physics. 2010 (7): 86. arXiv:1003.5813. Bibcode:2010JHEP...07..086H. doi:10.1007/JHEP07(2010)086. S2CID 119258554.
Blinder, S. M. (1996). "Canonical partition function for the hydrogen atom in curved space". J. Math. Chem. 19: 43. doi:10.1007/BF01165129. hdl:2027.42/43064. S2CID 25491310.
Bahroz Brzo, Aram; Alvarez-Castillo, David (2021). "Thermodynamic Properties of a Quantum Gas of Mesons Considered as Color Charge Dipoles in a Three-Dimensional Space of Constant Curvature". Modern Physics Letters A. 36 (15): 2150095-1. arXiv:2010.14642. doi:10.1142/S0217732321500954. S2CID 225094121.

zenodo.org

Routh, E. J. (1884). "On some properties of certain solutions of a differential equation of second order". Proc. London Math. Soc. 16: 245. doi:10.1112/plms/s1-16.1.245.