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

Chinese Journal of Physics

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

Nalan Kandırmaz, R. Sever

Published Feb 1, 2009• 2 citations
OpenAlex

Abstract

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.

Related papers

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

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

Nalan Kandırmaz, R. Sever

The wave functions and the energy spectrum of PT-/non-PT-Symmetric and non-Hermitian Hulthen potential are of an exponential type and are obtained via the path integral. The path integral is constructed using parametric time and point transformation.

Acta Polytechnica•Jan 2, 2011•3 citations

Coherent states for PT-/non-PT-symmetric and non-Hermitian Morse potentials via the path integral method

Nalan Kandırmaz, R. Sever

We discuss the coherent states for PT-/non-PT-symmetric and non-Hermitian generalized Morse potentials obtained by using path integral formalism over the holomorphic coordinates. We transform the action of generalized Morse potentials into two harmonic oscillators with a new parametric time to establish the parametric time coherent states. We calculate the energy eigenvalues and the corresponding wave functions in parabolic coordinates.

arXiv:1003.2264•Physica Scripta•Mar 1, 2010•19 citations

PATH INTEGRAL SOLUTIONS OF PT-/NON-PT SYMMETRIC AND NON-HERMITIAN DENG-FAN MOLECULAR POTENTIAL

Nalan Kandırmaz

In this study, Path integral behavior of Parity-Time (PT)-/non-PT- Symmetric and Non-Hermitian Deng-Fan Molecular potential is examined. Appropriate coordinate and momentum transformations and parametric time were defined and the kernel of the system was found. By applying the path integral method, Green's function, which gives energy eigenvalues and wave functions of the system, is evaluated. Energy eigenvalues and corresponding wave functions of PT- / PT Symmetric and Non-Hermitian systems were obtained.Bu çalışmada PT-/PT Simetrik ve Hermityen olmayan Deng-Fan Moleküler potansiyelinin Path integral davranışı incelendi. Uygun koordinat ve momentum dönüşümleri ve parametrik zaman tanımlanarak sistemin kerneli elde edildi. Path integral yöntemi uygulanarak sistemin enerji özdeğerleri ve dalga fonksiyonlarını veren Green's fonksiyonu hesaplandı. PT-/PT Simetrik ve non hermityen olmayan sistemin enerji özdeğerleri ve karşılık gelen dalga fonksiyonları elde gösterildi.

Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler•Aug 31, 2020•0 citations

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

Özlem Yeşiltaş, Mehmet Şimşek, R. Sever +1 more

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.

arXiv:hep-ph/0303014•Physica Scripta•Jan 1, 2003•52 citations

PT-/non-PT-symmetric and non-Hermitian Hellmann potential: approximate bound and scattering states with anyℓ-values

Altuğ Arda, Ramazan Sever

We investigate the approximate bound state solutions of the Schrödinger equation for the PT-/non-PT-symmetric and non Hermitian Hellmann potential. Exact energy eigenvalues and corresponding normalized wave functions are obtained. Numerical values of energy eigenvalues for the bound states are compared with the ones obtained before. Scattering state solutions are also studied. Phase shifts of the potential are written in terms of the angular momentum quantum number $\ell$.

arXiv:1409.0518•Physica Scripta•Aug 28, 2014•2 citations
In this study, Path integral behavior of Parity-Time (PT)-/non-PT- Symmetric and Non-Hermitian Deng-Fan Molecular potential is examined. Appropriate coordinate and momentum transformations and parametric time were defined and the kernel of the system was found. By applying the path integral method, Green's function, which gives energy eigenvalues and wave functions of the system, is evaluated. Energy eigenvalues and corresponding wave functions of PT- / PT Symmetric and Non-Hermitian systems were obtained.Bu çalışmada PT-/PT Simetrik ve Hermityen olmayan Deng-Fan Moleküler potansiyelinin Path integral davranışı incelendi. Uygun koordinat ve momentum dönüşümleri ve parametrik zaman tanımlanarak sistemin kerneli elde edildi. Path integral yöntemi uygulanarak sistemin enerji özdeğerleri ve dalga fonksiyonlarını veren Green's fonksiyonu hesaplandı. PT-/PT Simetrik ve non hermityen olmayan sistemin enerji özdeğerleri ve karşılık gelen dalga fonksiyonları elde gösterildi.
We investigate the approximate bound state solutions of the Schrödinger equation for the PT-/non-PT-symmetric and non Hermitian Hellmann potential. Exact energy eigenvalues and corresponding normalized wave functions are obtained. Numerical values of energy eigenvalues for the bound states are compared with the ones obtained before. Scattering state solutions are also studied. Phase shifts of the potential are written in terms of the angular momentum quantum number ℓ\ellℓ.