
This article is cited in 2 scientific papers (total in 2 papers)
Regularization of the equations of the quantum theory for a scalar neutral field with selfinteraction in the case of two spatial degrees of freedom
L. G. Zastavenko^{}
Abstract:
The method developed earlier [1] is applied to the more complicated case of two
spatial coordinates. The equations for the ground and excited states are of the same
form as in the onedimensional case, but the integrations are substituted by double
ones. The divergencies more complicated than those in the onedimensional case arise.
However they can be avoided by means of extracting a certain special factor from the
eigenfunctional $\Omega$ of the energy operator $H$.
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Theoretical and Mathematical Physics, 1971, 9:3, 1191–1198
Received: 23.03.1969 Revised: 25.06.1971
Citation:
L. G. Zastavenko, “Regularization of the equations of the quantum theory for a scalar neutral field with selfinteraction in the case of two spatial degrees of freedom”, TMF, 9:3 (1971), 355–364; Theoret. and Math. Phys., 9:3 (1971), 1191–1198
Citation in format AMSBIB
\Bibitem{Zas71}
\by L.~G.~Zastavenko
\paper Regularization of the equations of the quantum theory for a~scalar neutral field with selfinteraction in the case of two spatial degrees of freedom
\jour TMF
\yr 1971
\vol 9
\issue 3
\pages 355364
\mathnet{http://mi.mathnet.ru/tmf4500}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 9
\issue 3
\pages 11911198
\crossref{https://doi.org/10.1007/BF01043409}
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This publication is cited in the following articles:

L. G. Zastavenko, “Partial allowance for the selfinteraction in a very simplf model of quantum field theory”, Theoret. and Math. Phys., 10:1 (1972), 38–41

L. G. Zastavenko, “Reduction of the problem of calculating the class of infinitemultiplicity integrals in quantum field theory to the solution of an integral equation”, Theoret. and Math. Phys., 20:1 (1974), 660–666

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