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quant-ph2001★ 5 cited
Quasi-exactly solvable quartic Bose Hamiltonians
S. N. Dolya, O. B. Zaslavskii
We consider Hamiltonians, which are even polynomials of the forth order with the respect to Bose operators. We find subspaces, preserved by the action of Hamiltonian These subspace…
quant-ph2000★ 5 cited
General approach to potentials with two known levels
S. N. Dolya, O. B. Zaslavskii
We present the general form of potentials with two given energy levels , and find corresponding wave functions. These entities are expressed in terms of one function…
quant-ph2000★ 10 cited
Quantum anharmonic oscillator and quasi-exactly solvable Bose systems
S. N. Dolya, O. B. Zaslavskii
We extend the notion of quasi-exactly solvable (QES) models from potential ones and differential equations to Bose systems. We obtain conditions under which algebraization of the p…