M. A. Braun, “Relationship between a quasipotential equation and a Schrödinger equation”, TMF, 72:3 (1987), 394–402; Theoret. and Math. Phys., 72:3 (1987), 958

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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 72, Number 3, Pages 394–402 (Mi tmf5340)

This article is cited in 7 scientific papers (total in 7 papers)

Relationship between a quasipotential equation and a Schrödinger equation

M. A. Braun

Full-text PDF (940 kB) Citations (7)

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Abstract: It is shown that the quasipotential equation can be transformed into Schrödinger equation by means of a linear non-unitary transformation of the wave function. The usual orthonormality conditions for wave functions and cluster properties of the potential are preserved by this transformation.

Received: 25.03.1986

English version:
Theoretical and Mathematical Physics, 1987, Volume 72, Issue 3, Pages 958–964
DOI: https://doi.org/10.1007/BF01018302

Bibliographic databases:

Language: Russian

Citation: M. A. Braun, “Relationship between a quasipotential equation and a Schrödinger equation”, TMF, 72:3 (1987), 394–402; Theoret. and Math. Phys., 72:3 (1987), 958–964

Citation in format AMSBIB

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\by M.~A.~Braun

\paper Relationship between a~quasipotential equation and a~Schr\"odinger equation

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\yr 1987

\vol 72

\issue 3

\pages 394--402

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936387}

\transl

\jour Theoret. and Math. Phys.

\yr 1987

\vol 72

\issue 3

\pages 958--964

\crossref{https://doi.org/10.1007/BF01018302}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987N097600007}

Linking options:

https://www.mathnet.ru/eng/tmf5340

https://www.mathnet.ru/eng/tmf/v72/i3/p394

This publication is cited in the following 7 articles:

V.M. Shabaev, Lecture Notes in Physics, 695, Large Coulomb Systems, 2006, 275
V.M. Shabaev, “Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms”, Physics Reports, 356:3 (2002), 119
R. Mennicken, A. K. Motovilov, Operator Theory and Related Topics, 2000, 287
R. Mennicken, A. K. Motovilov, “Operator interpretation of the resonances generated by ${2}\times {2}$ matrix Hamiltonians”, Theoret. and Math. Phys., 116:2 (1998), 867–880
A. K. Motovilov, “Removal of the dependence on energy from interactions depending on it as a resolvent”, Theoret. and Math. Phys., 104:2 (1995), 989–1007
V. M. Shabaev, “Quantum electrodynamic theory of recombination of an electron with a highly charged ion”, Phys. Rev. A, 50:6 (1994), 4521
V. M. Shabaev, I. G. Fokeeva, “Calculation formulas for the reducible part of the two-photon-exchange diagrams in the QED of multicharged ions”, Phys. Rev. A, 49:6 (1994), 4489

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

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Abstract page:	304
Full-text PDF :	129
References:	50
First page:	1

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