Variational Ansatz for PT-Symmetric Quantum Mechanics
量子物理
2009-10-31 v1
摘要
A variational calculation of the energy levels of a class of PT-invariant quantum mechanical models described by the non-Hermitian Hamiltonian H= p^2 - (ix)^N with N positive and x complex is presented. Excellent agreement is obtained for the ground state and low lying excited state energy levels and wave functions. We use an energy functional with a three parameter class of PT-symmetric trial wave functions in obtaining our results.
引用
@article{arxiv.quant-ph/9907008,
title = {Variational Ansatz for PT-Symmetric Quantum Mechanics},
author = {Carl Bender and Fred Cooper and Peter Meisinger and Van M. Savage},
journal= {arXiv preprint arXiv:quant-ph/9907008},
year = {2009}
}
备注
9 pages -- one postscript figure