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Teoreticheskaya i Matematicheskaya Fizika, 1970, Volume 3, Number 2, Pages 240–254 (Mi tmf4109)  

This article is cited in 43 scientific papers (total in 43 papers)

Quasipotential method in the bound state problem

R. N. Faustov
References:
Abstract: A study is made of the general properties of the quasipotential equation for the wave function of a bound system of particles with arbitrary spins. The normalization and orthogonalfty conditions are obtained for these wave functions. An investigation is made of the matrix elements of local operators between bound states.
Received: 18.11.1969
English version:
Theoretical and Mathematical Physics, 1970, Volume 3, Issue 2, Pages 478–488
DOI: https://doi.org/10.1007/BF01046512
Language: Russian
Citation: R. N. Faustov, “Quasipotential method in the bound state problem”, TMF, 3:2 (1970), 240–254; Theoret. and Math. Phys., 3:2 (1970), 478–488
Citation in format AMSBIB
\Bibitem{Fau70}
\by R.~N.~Faustov
\paper Quasipotential method in the bound state problem
\jour TMF
\yr 1970
\vol 3
\issue 2
\pages 240--254
\mathnet{http://mi.mathnet.ru/tmf4109}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 3
\issue 2
\pages 478--488
\crossref{https://doi.org/10.1007/BF01046512}
Linking options:
  • https://www.mathnet.ru/eng/tmf4109
  • https://www.mathnet.ru/eng/tmf/v3/i2/p240
  • This publication is cited in the following 43 articles:
    1. Mikhail G. Kozlov, Yuriy A. Demidov, Mikhail Y. Kaygorodov, Elizaveta V. Tryapitsyna, “Basis Set Calculations of Heavy Atoms”, Atoms, 12:1 (2024), 3  crossref
    2. A. V. Malyshev, Y. S. Kozhedub, V. M. Shabaev, “Ab initio calculations of the 2p3/2→2s transition in He-, Li-, and Be-like uranium”, Phys. Rev. A, 107:4 (2023)  crossref
    3. Edit Mátyus, Dávid Ferenc, Péter Jeszenszki, Ádám Margócsy, “The Bethe–Salpeter QED Wave Equation for Bound-State Computations of Atoms and Molecules”, ACS Phys. Chem Au, 3:3 (2023), 222  crossref
    4. Yu. D. Chernichenko, “Semiclassical Quantization Condition for the Energy Levels of a Relativistic Two-Fermion System”, Phys. Atom. Nuclei, 85:5 (2022), 488  crossref
    5. X. Liu, X. P. Zhou, W. Q. Wen, Q. F. Lu, C. L. Yan, G. Q. Xu, J. Xiao, A. V. Volotka, Y. S. Kozhedub, M. Y. Kaygorodov, Z. K. Huang, W. L. Ma, S. X. Wang, X. Ma, “Precision measurements of the 2P1/2-2P3/2 fine-structure splitting in B-like S11+ and Cl12+”, Phys. Rev. A, 104:6 (2021)  crossref
    6. R. N. Soguel, A. V. Volotka, E. V. Tryapitsyna, D. A. Glazov, V. P. Kosheleva, S. Fritzsche, “Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron”, Phys. Rev. A, 103:4 (2021)  crossref
    7. Yu. D. Chernichenko, “Form Factor of the Two Fermions Bound State: The Case of Equal Masses and Vector Currentl”, Nonlinear Phenomena in Complex Systems, 24:2 (2021), 133  crossref
    8. V. P. Kosheleva, A. V. Volotka, D. A. Glazov, S. Fritzsche, “Many-electron effects in the hyperfine splitting of lithiumlike ions”, Phys. Rev. Research, 2:1 (2020)  crossref
    9. Yu.D. Chernichenko, “Form Factor for a Two-Fermion Composite System: Case of Equal Masses and Vector Current”, Phys. Atom. Nuclei, 82:4 (2019), 334  crossref
    10. Zhen-Xiang Zhong, Wan-Ping Zhou, Xue-Song Mei, “Spin-averaged effective Hamiltonian of orders mα6 and mα6(m/M) for hydrogen molecular ions”, Phys. Rev. A, 98:3 (2018)  crossref
    11. Yu. D. Chernichenko, “Bound-State Scalar Form Factor for Two Fermions within the Relativistic Quasipotential Approach”, Phys. Atom. Nuclei, 81:3 (2018), 360  crossref
    12. D. Bečirević, A. Le Yaouanc, L. Oliver, J.-C. Raynal, “Unexpected pattern of transitions to radial excitations by heavy quark current”, Phys. Rev. D, 96:3 (2017)  crossref
    13. Boykova N.A., Boykova O.A., “Hyperfine splitting in the quasipotential approach”, Saratov Fall Meeting 2015 (Saratov, Russian Federation, Tuesday 22 September 2015), SPIE Proceedings, 9917, eds. Genina E., Derbov V., Postnov D., Pravdin A., Larin K., Meglinski I., Tuchin V., Spie-Int Soc Optical Engineering, 2016, 99172S  crossref  isi  scopus
    14. A. A. Boikov, N. A. Boikova, “Kvazipotentsialnyi podkhod k sverkhtonkomu rasschepleniyu v myuonnom vodorode”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 15:1 (2015), 36–40  mathnet  crossref
    15. Yu. D. Chernichenko, “Form factor for a two-particle system within a relativistic quasipotential approach: Case of arbitrary masses and of a vector current”, Phys. Atom. Nuclei, 78:2 (2015), 201  crossref
    16. Chernichenko Yu.D., “Form Factor of a Relativistic Two-Particle System Within the Relativistic Quasipotential Approach: Case of An Arbitrary Masses and a Scalar Current”, Phys. Atom. Nuclei, 77:2 (2014), 229–242  crossref  isi
    17. Yu. A. Grishechkin, V. N. Kapshai, “Relativistic bound state problem for two-particle systems with energy dependent one boson exchange potential”, PFMT, 2013, no. 1(14), 24–26  mathnet
    18. O. P. Solovtsova, Yu. D. Chernichenko, “The resummation $L$-factor in the relativistic quasipotential approach”, Theoret. and Math. Phys., 166:2 (2011), 194–209  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    19. H. Jallouli, H. Sazdjian, “Energy and decay width of the πK atom”, Eur. Phys. J. C, 48:2 (2006), 561  crossref
    20. S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Constructing the light-front QCD Hamiltonian”, Theoret. and Math. Phys., 120:3 (1999), 1164–1181  mathnet  crossref  crossref  zmath  isi
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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