English

Imaginary Interactions with Minimum Length

Quantum Physics 2016-02-08 v2 High Energy Physics - Theory

Abstract

We analyze the effect of having minimum length on a two dimensional anisotropic simple harmonic oscillator with PT symmetric imaginary interaction perturbatively. First order correction to the general state is calculated analytically to show that it remains real as long as PT symmetry is unbroken. The characteristics of PT phase transition remain unaltered in this deformed formulation of quantum mechanics.

Keywords

Cite

@article{arxiv.1506.06742,
  title  = {Imaginary Interactions with Minimum Length},
  author = {Mir Faizal and Bhabani Prasad Mandal},
  journal= {arXiv preprint arXiv:1506.06742},
  year   = {2016}
}

Comments

Accepted in Gravitation and Cosmology

R2 v1 2026-06-22T09:58:08.028Z