A quantum mechanical model of "dark matter"

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Belokurov, V. V.; Shavgulidze, E. T.;
  • Subject: Mathematical Physics | High Energy Physics - Theory

The role of singular solutions in some simple quantum mechanical models is studied. The space of the states of two-dimensional quantum harmonic oscillator is shown to be separated into sets of states with different properties.
  • References (8)

    [1] V.V. Belokurov and E.T. Shavgulidze, Paths with singularities in functional integrals of quantum eld theory. arXiv:1112.3899v1. [hep-th].

    [2] L.D. Landau and E.M. Lifshiz, Quantum Mechanics. Nonrelativistic Theory. 2nd ed. Fizmatgiz. Moscow. 1963.

    [3] A.M. Perelomov, Generalized Coherent States and Their Applications. Nauka. Moscow. 1987.

    [4] F.A. Berezin, Mat. Sbornik (in Russian). 1963. V. 60. No. 4. P. 425.

    [5] M. Mnatsakanova, G. Morchio, F. Strocchi and Yu. Vernov, J. Math. Phys., 1998. V. 39. P. 2969. and arXiv:math-ph/0211025v2.

    [6] Yu.S. Vernov, M.N. Mnatsakanova and S.G. Salinsky, Moscow Univ. Phys. Bulletin, 2010. V. 65. No. 6. P. 546. and Physics of Particles and Nuclei Letters, 2012. V. 9. No. 3. P. 353.

    [7] A.T. Filippov, Fizika Elementarnykh Chastits i Atomnogo Yadra (in Russian), 1979. V. 10. No. 3. P. 501.

    [8] P.G. Grinevich, A.E. Mironov, S.P. Novikov, Teor. Mat. Fiz. (in Russian), 2010. V. 164. No. 3. P.333. and Low Temp. Phys., 2011. V. 37. No. 9/10. P. 1045.

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