Imaginary Interactions with Minimum Length

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.

Accepted in Gravitation and Cosmology

References in corpus (3)

• Discreteness of Space from the Generalized Uncertainty Principle
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Reply to "Comment on 'Universality of Quantum Gravity Corrections' "

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• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Schwinger's Model of Angular Momentum with GUP
• Effect of Quantum Gravity on Specific Heat of Solid
• Refractive index profiles for a $\mathcal{P}\mathcal{T}$-symmetric optical structure