Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:hep-ph/0303014 · Physica Scripta

Exponential Type Complex and Non-Hermitian Potentials in PT-Symmetric Quantum Mechanics

Özlem Yeşiltaş, Mehmet Şimşek, R. Sever, C. Tezcan

Published Jan 1, 2003• 52 citations
arXivHTMLPDF

Abstract

Using the NU method [A F Nikiforov and V B Uvarov 1988 “Special Functions of Mathematical Physics” (Birkhauser, Basel)], we investigated the real eigenvalues of the complex and/or PT-symmetric, non-Hermitian and the exponential type systems, such as Pöschl–Teller and Morse potentials.
DOI
10.1238/physica.regular.067a00472

Related papers

Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics and Hamiltonian Hierarchy Method

Gholamreza Faridfathi, R. Sever, Metin Aktaş

The supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian deformed Morse and Pöschl-Teller potentials are obtained by solving the Schrödinger equation. The Hamiltonian hierarchy method is used to get the real energy eigenvalues and corresponding eigenfunctions. \newline {PACS:05.20.-y; 05.30.-d; 05.70. Ce; 03.65.-w}\newline {\it Keywords}{\small : Supersymmetric quantum mechanics, Hamiltonian Hierarchy Method, Morse potential, Pöschl-Teller potential}

arXiv:quant-ph/0407016•Jul 2, 2004•2 citations

The Klein-Gordon Equation of Generalized Hulthen Potential in Complex Quantum Mechanics

Mehmet Şimşek, Harun Eğrifes

We have investigated the reality of exact bound states of complex and/or PT-symmetric non-Hermitian exponential-type generalized Hulthen potential. The Klein-Gordon equation has been solved by using the Nikiforov-Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type. In many cases of interest, negative and positive energy states have been discussed for different types of complex potentials.

arXiv:quant-ph/0211025•Nov 6, 2002•0 citations

The Klein–Gordon equation of generalized Hulthén potential in complex quantum mechanics

Mehmet Şimşek, Harun Eğrifes

We have investigated the reality of exact bound states of complex and/or PT-symmetric non-Hermitian exponential-type generalized Hulthen potential. The Klein–Gordon equation has been solved by using the Nikiforov–Uvarov method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type. In many cases of interest, negative and positive energy states have been discussed for different types of complex potentials.

Journal of Physics A Mathematical and General•Mar 29, 2004•143 citations

Path Integral Solutions of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potentials

Nalan Kandırmaz, R. Sever

Path integral solutions are obtained for the PT-/non-PT-symmetric and non-Hermitian Morse potentials. Energy eigenvalues and the corresponding wave functions are obtained.

Chinese Journal of Physics•Feb 1, 2009•2 citations

Exact Solution of Generalized Woods Saxon Potential in PT Symmetric Quantum Mechanics via Nikiforov Uvarov Method

Cüneyt Berkdemir, Ayşe Berkdemir, R. Sever

We investigate complex PT and non-PT-symmetric forms of the generalized Woods- Saxon potential. We also look for exact solutions of the Schrodinger equation for the PT and/or non-PT-symmetric potentials of the kind mentioned above. Nikiforov-Uvarov method is used to obtain their energy eigenvalues and associated eigenfunctions.

•Oct 20, 2004•0 citations

Path Integral Solution of PT-/non-PT-Symmetric and non-Hermitian Morse Potential

Nalan Kandırmaz, R. Sever

Path integral solutions are obtained for the the PT-/non-PT-Symmetric and non-Hermitian Morse Potential. Energy eigenvalues and the corresponding wave functions are obtained.

arXiv:0812.2614•Dec 14, 2008•0 citations