Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Apagyi, Barnabás"'
Autor:
Palmai, Tamas, Apagyi, Barnabas
Publikováno v:
J. Phys. A: Math. Theor. 46 (2013) 045303
A new approach is proposed to the solution of the quantum mechanical inverse scattering problem at fixed energy. The method relates the fixed energy phase shifts to those arising in an auxiliary Sturm-Liouville problem via the interpolation theory of
Externí odkaz:
http://arxiv.org/abs/1205.0460
Autor:
Csire, Gábor, Apagyi, Barnabás
Publikováno v:
Phys. Rev. A vol. 85, 033613 (2012)
We examine a two-component Bose-Einstein condensate in a double-well potential. We propose a model for the creation of many-particle macroscopic quantum superposition states. The effect of dissipation on the formation of these states is also investig
Externí odkaz:
http://arxiv.org/abs/1202.5787
Autor:
Palmai, Tamas, Apagyi, Barnabas
Publikováno v:
Inverse Problems 28 (2012) 085007
An inverse scattering method based on an auxiliary inverse Sturm-Liouville problem recently proposed by Horv\'ath and Apagyi [Mod. Phys. Lett. B 22, 2137 (2008)] is examined in various aspects and developed further to (re)construct spherically symmet
Externí odkaz:
http://arxiv.org/abs/1202.1931
Publikováno v:
Modern Physics Letters B (MPLB) Volume: 22, Issue: 23, Page 2191 - 2199 (2008)
Solution of the Cox-Thompson inverse scattering problem at fixed energy [1,2,3] is reformulated resulting in semi-analytic equations. The new set of equations for the normalization constants and the nonphysical (shifted) angular momenta are free of m
Externí odkaz:
http://arxiv.org/abs/1111.6059
Publikováno v:
J. Phys. A: Math. Theor. 41 (2008) 235305
Simplified solutions of the Cox-Thompson inverse quantum scattering method at fixed energy are derived if a finite number of partial waves with only even or odd angular momenta contribute to the scattering process. Based on new formulae various appro
Externí odkaz:
http://arxiv.org/abs/1111.6066
Publikováno v:
J. Phys. G: Nucl. Part. Phys. 37 (2010) 025101
A Cox-Thompson fixed-energy quantum inverse scattering method is developed further to treat long-range Coulomb interaction. Depending on the reference potentials chosen, two methods have been formulated which produce inverse potentials with singular
Externí odkaz:
http://arxiv.org/abs/1111.6051
Autor:
Palmai, Tamas, Apagyi, Barnabas
Publikováno v:
J. Math. Phys. 51, 022114 (2010)
We establish a condition for obtaining nonsingular potentials using the Cox-Thompson inverse scattering method with one phase shift. The anomalous singularities of the potentials are avoided by maintaining unique solutions of the underlying Regge-New
Externí odkaz:
http://arxiv.org/abs/1111.6029
Autor:
Palmai, Tamas, Apagyi, Barnabas
Publikováno v:
Methods and Applications of Analysis 18 (2011) pp. 93-104
The inverse scattering problem of the three-dimensional Schroedinger equation is considered at fixed scattering energy with spherically symmetric potentials. The phase shifts determine the potential therefore a constructive scheme for recovering the
Externí odkaz:
http://arxiv.org/abs/1111.6009
Publikováno v:
Phys. Rev. A vol. 82, 063608 (2010)
We examine the effect of the intra- and interspecies scattering lengths on the dynamics of a two-component Bose-Einstein condensate, particularly focusing on the existence and stability of solitonic excitations. For each type of possible soliton pair
Externí odkaz:
http://arxiv.org/abs/1009.2122
Autor:
Palmai, Tamas, Apagyi, Barnabas
Publikováno v:
J. Math. Anal. Appl. 375 (2011) pp. 320-322
We unify the three distinct inequality sequences (Abramowitz ans Stegun (1972) [1,9.5.2]) of positive real zeros of Bessel functions into a single one.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1002.0976