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 Physics C

Quantum Mechanical Model with Nonlocal Potential

Zhang Dexing, Cai Shao-Hong

Published Sep 5, 2002• 0 citations
OpenAlex

Abstract

In this paper, using supersymmetric (SUSY) quantum mechanics, we discuss exactly solvable Quantum mechanical model with nonlocal potential. And we present a simple nonlocal presentation of exactly solvable local model, so exactly to obtain energy eigenfunctions and eignvalues.

Related papers

Quantum Mechanical Model with Nonlocal Potential

Zhang De

In this paper, using supersymmetric (SUSY) quantum mechanics, we discuss exactly solvable Quantum mechanical model with nonlocal potential. And we present a simple nonlocal presentation of exactly solvable local model, so exactly to obtain energy eigenfunctions and eignvalues.

Chinese Physics C•Jan 1, 2002•0 citations

Supersymmetric quantum mechanics with nonlocal potentials

Je-Young Choi, Seok-In Hong

We consider supersymmetric quantum mechanical models with both local and nonlocal potentials. We present a nonlocal deformation of exactly solvable local models. Its energy eigenfunctions and eigenvalues are determined exactly. We observe that both our model Hamiltonian and its supersymmetric partner may have normalizable zero-energy ground states, in contrast to local models with nonperiodic or periodic potentials.

arXiv:quant-ph/9811024•Physical Review A•Aug 1, 1999•8 citations

Supersymmetric quantum mechanics and new potentials

Elso Drigo Filho

Using supersymmetric quantum mechanics we generalize some exactly solvable potentials: the particle in the box, ~oschl-~eller and Rosen- Morse. We evaluate the new potentials and indicate their eigenfunctions and spectra.

Revista brasileira de fisica•Jan 1, 1990•3 citations

Features of Complex Supersymmetric Quantum Mechanics

Aishwarya Parthasarathi

The study of the non-Hermitian Hamiltonian systems within the framework of Supersymmetric Quantum mechanics (SUSY QM) has been carried out in literature in the last decade. Most of these potentials are either PT Symmetric or quasi-Hermitian in nature. But no formulation is advanced in literature to the study of general complex potentials within its framework. In this paper, using the complex phase space approach, we carry out the complexification of Supersymmetric Quantum Mechanics to enable the study of any general non-Hermitian Hamiltonian system within its framework. The commutation relations among its operators are enumerated and the underlying symmetry is discussed. The eigenvalues and eigenfunctions of the real and imaginary parts of superpartner Hamiltonians are also investigated.

•Sep 24, 2021•0 citations

Nonlocal -symmetric potentials

Barnana Roy, Rajkumar Roychoudhury

The factorization approach for complex Hamiltonians has been used to obtain the exactly solvable nonlocal variant of -symmetric local potentials. The formalism is used to obtain exact eigenvalues and eigenfunctions of the nonlocal -symmetric Scarf potential.

Journal of Physics A Mathematical and Theoretical•Jul 3, 2007•0 citations

SPECTRUM OF THE RELATIVISTIC PARTICLES IN VARIOUS POTENTIALS

Ramazan Koç, MEHMET KOCA

We extend the notion of Dirac oscillator in two dimensions, to construct a set of potentials. These potentials become exactly and quasi-exactly solvable potentials of nonrelativistic quantum mechanics when they are transformed into a Schrödinger-like equation. For the exactly solvable potentials, eigenvalues are calculated and eigenfunctions are given by confluent hypergeometric functions. It is shown that, our formulation also leads to the study of those potentials in the framework of the supersymmetric quantum mechanics.

arXiv:quant-ph/0504178•Modern Physics Letters A•Apr 20, 2005•17 citations
The study of the non-Hermitian Hamiltonian systems within the framework of Supersymmetric Quantum mechanics (SUSY QM) has been carried out in literature in the last decade. Most of these potentials are either PT Symmetric or quasi-Hermitian in nature. But no formulation is advanced in literature to the study of general complex potentials within its framework. In this paper, using the complex phase space approach, we carry out the complexification of Supersymmetric Quantum Mechanics to enable the study of any general non-Hermitian Hamiltonian system within its framework. The commutation relations among its operators are enumerated and the underlying symmetry is discussed. The eigenvalues and eigenfunctions of the real and imaginary parts of superpartner Hamiltonians are also investigated.
We extend the notion of Dirac oscillator in two dimensions, to construct a set of potentials. These potentials become exactly and quasi-exactly solvable potentials of nonrelativistic quantum mechanics when they are transformed into a Schrödinger-like equation. For the exactly solvable potentials, eigenvalues are calculated and eigenfunctions are given by confluent hypergeometric functions. It is shown that, our formulation also leads to the study of those potentials in the framework of the supersymmetric quantum mechanics.