Scattering in the PT-symmetric Coulomb potential

0329438 - ÚJF 2010 RIV GB eng J - Journal Article
Levai, G. - Siegl, P. - Znojil, Miloslav
Scattering in the PT-symmetric Coulomb potential.
[Rozptyl na PT symetrickém Coulombově potenciálu.]
Journal of Physics A-Mathematical and Theoretical. Roč. 42, č. 29 (2009), 295201/1-295201/9. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR GA202/07/1307; GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : NON-HERMITIAN HAMILTONIANS * QUANTUM-MECHANICS * EQUATIONS
Subject RIV: BE - Theoretical Physics
Impact factor: 1.577, year: 2009

Scattering on the PT -symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex x plane from below. This trajectory reflects PT symmetry, sets the appropriate boundary conditions for bound states and also allows the restoration of the correct sign of the energy eigenvalues. Scattering states are composed from the two linearly independent solutions valid for non-integer values of the 2L parameter, which would correspond to the angular momentum in the usual Hermitian setting. The transmission and reflection coefficients are written in a closed analytic form, and it is shown that, similar to other PT -symmetric scattering systems, the latter exhibit the handedness effect. Bound-state energies are recovered from the poles of the transmission coefficients

Je studován rozptyl na PT symetrickém Coulombově potenciálu podél křivky tvaru U v komplexní rovině.
Permanent Link: http://hdl.handle.net/11104/0175475