arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/9808024math.QAhep-th

Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator

Rainer Dick, Andrea Pollok-Narayanan, Harold Steinacker, Julius Wess

英文摘要:

A $q$--deformed anharmonic oscillator is defined within the framework of $q$--deformed quantum mechanics. It is shown that the Rayleigh--Schrödinger perturbation series for the bounded spectrum converges to exact eigenstates and eigenvalues, for $q$ close to 1. The radius of convergence becomes zero in the undeformed limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑