Journal of Physics A Mathematical and Theoretical

A Lie algebraic approach to non-Hermitian Hamiltonians with real spectra

G A Kerimov

Published Jun 3, 2008• 0 citations

Abstract

An algebraic technique useful in studying non-Hermitian Hamiltonians with real spectra, is presented. The method is illustrated by explicit application to a family of one-dimensional potentials.

DOI: 10.1088/1751-8113/41/24/244011

Related papers

Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach

Bijan Kumar Bagchi, C. Quesne

Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for a class of non-Hermitian Hamiltonians associated with the complex Lie algebra Ai.

arXiv:math-ph/0209031CRC Press eBooksNov 30, 20030 citations

A new class of non-Hermitian Hamiltonians with real spectra

T V Fityo

We construct a new class of non-Hermitian Hamiltonians with real spectra. The Hamiltonians possess one explicitly known eigenfunction.

arXiv:quant-ph/0204029Journal of Physics A Mathematical and GeneralJul 5, 200230 citations

Lie Algebraic Approach to Non-Hermitian Hamiltonians

Sanjib Meyur, S. Debnath, Rabindra Sarani

The Lie-algebraic approach has been used to obtain both real and complex eigenvalues of non-Hermitian Hamiltonians, corresponding to regular eigenfunctions.

Jan 1, 20090 citations

A new class of non-Hermitian Hamiltonians with real spectra

T V Fityo

We construct a new class of non-Hermitian Hamiltonians with real spectra. The Hamiltonians possess one explicitly known eigenfunction. 1

Apr 5, 200223 citations

Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

B. Bagchi, C. Quesne

arXiv:math-ph/0205002Physics Letters AJul 1, 200297 citations

Sensitizing Non-Hermitian Hamiltonian for Study of Real Spectra

Biswanath Rath

.We notice many non-Hermitian Hamiltonians yield real spectra .Interestingly some of them belong to PT symmetry and others non-PT symmetry in nature.In the case of simple quantum systems, one can calculate the eigen- spectra analytically, however in other cases one has seek numerical results .We give specific atten tion on stable real spectra .

Feb 1, 20150 citations