Abstract:
Methods are developed for investigating the spectra of the energy operators of many-particle quantum-mechanical systems that are invariant with respect to permutations of identical particles. The configuration space of the system is decomposed into a sum of subspaces corresponding to the motion of the system with respect to the center of mass and the motion of the center of mass itself. The energy operator of the system is decomposed accordingly. The operator of the energy of the relative motion of the system obtained in this manner is studied
on the hyperplane of the motion of the system relative to the center of mass. This ensures the invariance of the methods developed.
Citation:
A. G. Sigalov, I. M. Sigal, “Description of the spectrum of the energy operator of quantum-mechanical systems that is invariant with respect to permutations of identical particles”, TMF, 5:1 (1970), 73–93; Theoret. and Math. Phys., 5:1 (1970), 990–1005
\Bibitem{SigSig70}
\by A.~G.~Sigalov, I.~M.~Sigal
\paper Description of the spectrum of the energy operator of quantum-mechanical systems that is invariant with respect to permutations of identical particles
\jour TMF
\yr 1970
\vol 5
\issue 1
\pages 73--93
\mathnet{http://mi.mathnet.ru/tmf4187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=462347}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 1
\pages 990--1005
\crossref{https://doi.org/10.1007/BF01035981}
Linking options:
https://www.mathnet.ru/eng/tmf4187
https://www.mathnet.ru/eng/tmf/v5/i1/p73
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