Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Pupasov, A. M."'
Publikováno v:
J. Phys. A: Math. Theor. 44 (2011) 205305 (15pp)
Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a chain of conventional transformations and presented determinant formula
Externí odkaz:
http://arxiv.org/abs/1102.5255
Publikováno v:
J.Phys.A43:155201,2010
We propose a new kind of supersymmetric (SUSY) transformation in the case of the two-channel scattering problem with equal thresholds, for partial waves of the same parity. This two-fold transformation is based on two imaginary factorization energies
Externí odkaz:
http://arxiv.org/abs/1001.3312
Publikováno v:
Journal Of Physics A: Mathematical and Theoretical, 41 (2008) 175209 (17pp)
Spectral properties of a coupled $N \times N$ potential model obtained with the help of a single non-conservative supersymmetric (SUSY) transformation starting from a system of $N$ radial Schr\"odinger equations with the zero potential and finite thr
Externí odkaz:
http://arxiv.org/abs/0902.1102
Publikováno v:
J. Phys. A: Math. Theor. 42, 195303, (19pp), 2009
Supersymmetric (SUSY) transformations of the multi-channel Schr\"odinger equation with equal thresholds and arbitrary partial waves in all channels are studied. The structures of the transformation function and the superpotential are analyzed. Relati
Externí odkaz:
http://arxiv.org/abs/0812.4362
Publikováno v:
Phys. Rev. A 77, 012724 (2008) (reduced version)
Starting from a system of $N$ radial Schr\"odinger equations with a vanishing potential and finite threshold differences between the channels, a coupled $N \times N$ exactly-solvable potential model is obtained with the help of a single non-conservat
Externí odkaz:
http://arxiv.org/abs/0709.0343
Publikováno v:
J.Phys.A40:10557-10587,2007
Pairs of SUSY partner Hamiltonians are studied which are interrelated by usual (linear) or polynomial supersymmetry. Assuming the model of one of the Hamiltonians as exactly solvable with known propagator, expressions for propagators of partner model
Externí odkaz:
http://arxiv.org/abs/math-ph/0702088
Autor:
Samsonov, B. F., Pupasov, A. M.
Publikováno v:
Physics Letters A 356 (2006) 210--214
A method for calculating exact propagators for those complex potentials with a real spectrum which are SUSY partners of real potentials is presented. It is illustrated by examples of propagators for some complex SUSY partners of the harmonic oscillat
Externí odkaz:
http://arxiv.org/abs/quant-ph/0602218
Autor:
Pupasov, Andrey M., Samsonov, Boris F.
Publikováno v:
SIGMA 1 (2005), 020, 7 pages
Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schr\"odinger equation with a multi-soliton potential.
Comment: Published
Comment: Published
Externí odkaz:
http://arxiv.org/abs/quant-ph/0511238
Publikováno v:
J. Phys. A: Math. Gen. 38 (2005) 7557-7565
An integral relation is established between the Green functions corresponding to two Hamiltonians which are supersymmetric (SUSY) partners and in general may possess both discrete and continuous spectra. It is shown that when the continuous spectrum
Externí odkaz:
http://arxiv.org/abs/quant-ph/0507160