Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-01-07
AnnalsPhys.323:2241-2252,2008
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, no figures. Based on talk presented at "Conference in Honor of CN Yang's 85th Birthday", 31 oct - 3 Nov 2007, Singap
Scientific paper
10.1016/j.aop.2008.04.010
In this talk I present a simple and unified approach to both exact and quasi-exact solvabilities of the one-dimensional Schr\"odinger equation. It is based on the prepotential together with Bethe ansatz equations. This approach gives the potential as well as the eigenfunctions and eigenvalues simultaneously. In this approach the system is completely defined by the choice of the change of variables, and the so-called zero-th order prepotential. We illustrate the approach by several examples of Hermitian and non-Hermitian Hamiltonians with real energies. The method can be easily extended to the constructions of exactly and quasi-exactly solvable Dirac, Pauli, and Fokker-Planck equations, and to quasinormal modes.
No associations
LandOfFree
Prepotential approach to exact and quasi-exact solvabilities of Hermitian and non-Hermitian Hamiltonians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Prepotential approach to exact and quasi-exact solvabilities of Hermitian and non-Hermitian Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Prepotential approach to exact and quasi-exact solvabilities of Hermitian and non-Hermitian Hamiltonians will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-653932