Harmonic oscillatorWigner function extension to exceptional polynomials

Pramana: Journal of physics

K V S SHIV CHAITANYA^1¹ 

[1] Department of Physics, BITS Pilani, Hyderabad Campus, Jawahar Nagar, Shamirpet Mandal, Hyderabad 500 078, India^1

关键词: Bound states;    exceptional polynomials;    Wigner function;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we construct isospectral Hamiltonians without shape invariant potentials for a harmonic oscillator Wigner function on a real line. In this case, we actually remove the ground state of the second Hamiltonian, which forms a special case, $m = 0$, of an exceptional Laguerre differential equation with solutions $\{L^{−2}_{n}\}^{\infty}_{n=2}$ as eigenfunctions form a complete orthogonal set in the Hilbert space.

【 授权许可】

CC BY