Anti-Isospectral Transformations in Quantum Mechanics-Reference-Cited by-同舟云学术

Anti-Isospectral Transformations in Quantum Mechanics

Published:1997-06-07 Issue:17 Volume:12 Page:1225-1234
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Krajewska Agnieszka¹,Ushveridze Alexander¹,Walczak Zbigniew¹

Affiliation:

1. Department of Theoretical Physics, University of Łodź, Pomorska 149/153, 90-236 Łodź, Poland

Abstract

In this letter we demonstrate that there exists a remarkable class of quantum models admitting Z2 anti-isospectral transformations which change the form of the potential and invert the sign of a certain finite set of energy levels. These transformations help one to construct interesting classes of non-monic polynomials which are mutually orthogonal on two different intervals with two different weight functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732397001242

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Symmetric tops in combined electric fields: Conditional quasisolvability via the quantum Hamilton-Jacobi theory;Physical Review A;2018-05-31

2. Conditional quasi-exact solvability of the quantum planar pendulum and of its anti-isospectral hyperbolic counterpart;The European Physical Journal D;2017-06

3. BENDER-DUNNE ORTHOGONAL POLYNOMIALS, QUASI-EXACT SOLVABILITY AND ASYMPTOTIC ITERATION METHOD FOR RABI HAMILTONIAN;Acta Physica Polonica B;2011

4. New quasi-exactly solvable Hermitian as well as non-Hermitian % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBqj3BWbIqubWexLMBb50ujbqegm0B % 1jxALjharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqr % Ffpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0F % irpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaa % GcbaWefv3ySLgznfgDOfdarCqr1ngBPrginfgDObYtUvgaiuaacqWF % pepucqWFtepvaaa!46A4! $$ \mathcal{P}\mathcal{T} $$ -invariant potentials;Pramana;2009-08

5. Some spectral equivalences between Schrödinger operators;Journal of Physics A: Mathematical and Theoretical;2008-07-04