Discrete spectrum of hamiltonians of some quantum system models |
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| Authors: | G M Zhislin |
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| Institution: | 1.Research Radio-Physical Institute,Nizhny Novgorod,Russia |
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| Abstract: | We study the discrete spectrum of the Hamiltonian H
0
Z
1
] of relative motion of an n-particle quantum system Z
1
consisting of mutually identical particles of two types. The interaction of the first-type particles is described by a short-range
potential W
1
, the interaction of the second-type particles is described by a long-range potential W
2
, and the interaction of particles of different types is described by a negative long-range potential W
3
. Under some assumptions about the potentials W
2
and W
3
, we demonstrate that the discrete spectrum of the operator H
0
Z
1
] is infinite both with and without taking the permutation symmetry into account. |
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| Keywords: | |
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