Published December 30, 2015 | Version v1
Journal article Metadata-only

Exact Analytical Solution of the N-Dimensional Radial Schrödinger Equation with Pseudoharmonic Potential via Laplace Transform Approach

Creators

  • 1. Kodalia Prasanna Banga High School (H.S), South 24 Parganas, Sonarpur 700146 (India)
  • 2. Department of Physics Education, Hacettepe University, 06800 Ankara (Turkey)

Description

The second-order N-dimensional Schrödinger equation with pseudoharmonic potential is reduced to a first-order differential equation by using the Laplace transform approach and exact bound state solutions are obtained using convolution theorem. Some special cases are verified and variations of energy eigenvalues En as a function of dimension N are furnished. To give an extra depth of this paper, the present approach is also briefly investigated for generalized Morse potential as an example.

Availability note (English)

Available from http://dx.doi.org/10.1155/2015/137038; Available from http://repo.scoap3.org/record/13288

Additional details

Identifiers

URL
https://repo.scoap3.org/record/13288;
DOI
10.1155/2015/137038;

Publishing Information

Journal Title
Advances in High Energy Physics (Online)
Journal Volume
2015
Journal Page Range
[8 p.]
ISSN
1687-7365

INIS

Country of Publication
Egypt
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48010416
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANALYTICAL SOLUTION; BOUND STATE; EIGENVALUES; EXACT SOLUTIONS; LAPLACE TRANSFORMATION; MANY-DIMENSIONAL CALCULATIONS; MORSE POTENTIAL; SCHROEDINGER EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRAL TRANSFORMATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; TRANSFORMATIONS; WAVE EQUATIONS

Optional Information

Notes
PUBLISHER-ID: 137038; OAI: oai:repo.scoap3.org:13288
Funding organization
SCOAP3, CERN, Geneva (Switzerland)