operator Schroedinger, spectre, finitence and infinitence of discrete spectrum, resonance.
UDC:
517.984
Subject:
Spektral theory of the self-adjoint operatore and the discrete operator of Schroedinger.
Main publications:
C. N. Lakaev, S. M. Samatov, “O konechnosti diskretnogo spektra trekhchastichnogo diskretnogo operatora Shredingera”, Teoreticheskaya i matematicheskaya fizika, 129:3 (2001), 415–431
S. N. Lakaev, S. M. Samatov, “Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice”, Uspekhi Mat. Nauk, 57:1(343) (2002), 155–156; Russian Math. Surveys, 57:1 (2002), 150–152
S. N. Lakaev, S. M. Samatov, “Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice”, TMF, 129:3 (2001), 415–431; Theoret. and Math. Phys., 129:3 (2001), 1655–1668
