Two-dimensional supersymmetric quantum mechanics and the Moutard transformations
This is a treatise on a two-dimensional supersymmetric hamiltonian H whose components consists of two scalar (h0, h1) and one matrix-valued hml quantum-mechanical Hamiltonians with constant terms added to the mix. In particular, the article discusses the ways to utilize a known solution of the spectral ...
The application of effective Hamiltonian method for open quantum system
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Ekert A.
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Bennett C.
H., Brassard G., Mermin N.
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Ivanov A. I., Ivanov A. A.
the Lindblad Master Equation, effective Hamiltonian, open
quantum system.
25-30
10.5922/2223-2095-2009-4-5
Finite-difference-steepest descent paradigm: new numerical method of Fockian spectral problem
... space and spin variables division, that leads to superposition in spin projection stacionary states. The approach is verified by comparison with conventional methods.
Kshevetskii S. P.
Hartree — Fock equation, Fockian, wavefunction, Hamiltonian, electron, exchange
90-103
On the question of extended two-dimensional non-relativistic supersymmetry
An algorithm for realizing the algebra of two-dimensional supersymmetric quantum mechanics is described. The cases N = 2 and N = 3 are described in detail. The procedure for iterating Darboux transformations is considered separately. In contrast to the one-dimensional case, in which the problem is completely solved by Krum's formulas, iterations of two-dimensional Darboux transformations remain insufficiently understood.
Yurova A. A., Chirikov R. V.
supersymmetry, Darboux transform,...