A. P. Martynenko, R. N. Faustov, “Relativistic energy spectrum of a bound system of two particles. Local quasipotential equation”, TMF, 66:3 (1986), 399–408; Theoret. and Math. Phys., 66:3 (1986), 264

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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 66, Number 3, Pages 399–408 (Mi tmf4636)

This article is cited in 10 scientific papers (total in 10 papers)

Relativistic energy spectrum of a bound system of two particles. Local quasipotential equation

A. P. Martynenko, R. N. Faustov

Full-text PDF (800 kB) Citations (10)

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Abstract: The construction of the interaction operator of two spinor particles is considered for a local quasipotential equation in the framework of quantum eleetrodynamics. The relativistic energy spectra of a hydrogen-like atom and positronium are obtained to order $\alpha^4$.

Received: 06.02.1985

English version:
Theoretical and Mathematical Physics, 1986, Volume 66, Issue 3, Pages 264–270
DOI: https://doi.org/10.1007/BF01018224

Bibliographic databases:

Language: Russian

Citation: A. P. Martynenko, R. N. Faustov, “Relativistic energy spectrum of a bound system of two particles. Local quasipotential equation”, TMF, 66:3 (1986), 399–408; Theoret. and Math. Phys., 66:3 (1986), 264–270

Citation in format AMSBIB

\Bibitem{MarFau86}

\by A.~P.~Martynenko, R.~N.~Faustov

\paper Relativistic energy spectrum of a~bound system of two particles. Local quasipotential equation

\jour TMF

\yr 1986

\vol 66

\issue 3

\pages 399--408

\mathnet{http://mi.mathnet.ru/tmf4636}

\transl

\jour Theoret. and Math. Phys.

\yr 1986

\vol 66

\issue 3

\pages 264--270

\crossref{https://doi.org/10.1007/BF01018224}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E586400007}

Linking options:

https://www.mathnet.ru/eng/tmf4636

https://www.mathnet.ru/eng/tmf/v66/i3/p399

This publication is cited in the following 10 articles:

Yu. D. Chernichenko, “Semiclassical Quantization Condition for a Relativistic Bound System of Two Equal-Mass Fermions”, Phys. Atom. Nuclei, 83:3 (2020), 488
Kondratjuk V.V., Chernichenko Yu.D., “Mass Spectrum of Mesons and Their Leptonic Decay Widths Within the Relativistic Quasipotential Approach”, Phys. Atom. Nuclei, 81:1 (2018), 51–61
Horace W. Crater, James Schiermeyer, “Applications of two-body Dirac equations to the meson spectrum with three versus two covariant interactions, SU(3) mixing, and comparison to a quasipotential approach”, Phys. Rev. D, 82:9 (2010)
D. Ebert, R. N. Faustov, V. O. Galkin, A. P. Martynenko, “Properties of doubly heavy baryons in the relativistic quark model”, Phys. Atom. Nuclei, 68:5 (2005), 784
D. Ebert, R. N. Faustov, V. O. Galkin, A. P. Martynenko, “Mass spectra of doubly heavy baryons in the relativistic quark model”, Phys. Rev. D, 66:1 (2002)
D. Ebert, V. O. Galkin, R. N. Faustov, “Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model”, Phys. Rev. D, 57:9 (1998), 5663
A. S. Vshivtsev, V. O. Galkin, A. V. Tatarintsev, R. N. Faustov, “Spectral problem for the radial Schrödinger equation with power confining potentials”, Theoret. and Math. Phys., 113:3 (1997), 1530–1542
A. P. Martynenko, R. N. Faustov, “Decay width of positronium. O(?2) correction in second-order perturbation theory”, Russ Phys J, 37:10 (1994), 915
V. O. Galkin, R. N. Faustov, “Some properties of the solutions of a quasipotential equation”, Theoret. and Math. Phys., 85:1 (1990), 1119–1123
V. I. Savrin, E. M. Shablygin, “Approximate analytic solution of a quasipotential equation”, Theoret. and Math. Phys., 75:2 (1988), 478–482

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	80
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