A $\mathcal{PT}$ -symmetric simple harmonic oscillator

Pramana: Journal of physics

ASTHA SINGH^1¹  SUDHIR R JAIN^2,3,4³ 

[1] Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221 005, India^1;Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400 094, India^3;Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400 085, India^2;UM-DAE Centre for Excellence in Basic Sciences, University of Mumbai, Vidyanagari Campus, Mumbai 400 098, India^4

关键词: $\mathcal{PT}$ symmetry;    adiabatic invariance;    oscillator;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We consider a simple harmonic oscillator with non-Hermitian term and study it classically and quantummechanically. We conclude that this version of oscillator, which breaks parity and time reversal, displays all thefeatures possessed by the usual harmonic oscillator. In particular, we calculate its spectrum, adiabatic invarianceand Wigner functions, and show that there is a consistency between the classical and quantum descriptions.

【 授权许可】

CC BY