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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/2783
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| Title: | Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability |
| Authors: | Mustafa, Omar
Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Physics
TR217733 |
| Keywords: | SYSTEMS, PHYSICS, MATHEMATICAL
ORDINARY DIFFERENTIAL-EQUATIONS, Euler-Lagrange equations invariance
classical position-dependent mass, OSCILLATOR
PHYSICS, MULTIDISCIPLINARY
POTENTIALS, nonlocal point transformation, Mathematical Physics |
| Issue Date: | 2015 |
| Publisher: | IOP Publishing |
| Citation: | O. Mustafa: J. Phys. A: Math. Theor. 48 (2015) 225206. arXiv:1411.4405
"Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability" SCI-journal. |
| Abstract: | A general nonlocal point transformation for position-dependent mass (PDM) Lagrangians and their mapping into a 'constant unit-mass' Lagrangians in the generalized coordinates is introduced. The conditions on the invariance of the related Euler-Lagrange equations are reported. The harmonic oscillator linearization of the PDM Euler-Lagrange equations is discussed through some illustrative examples including harmonic oscillators, shifted harmonic oscillators, a quadratic nonlinear oscillator, and a Morse-type oscillator. The Mathews-Lakshmanan nonlinear oscillators are reproduced and some 'shifted' Mathews-Lakshmanan nonlinear oscillators are reported. The mapping of an isotonic nonlinear oscillator into a PDM deformed isotonic oscillator is also discussed. |
| Description: | Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication |
| URI: | http://dx.doi.org/10.1088/1751-8113/48/22/225206
http://hdl.handle.net/11129/2783 |
| ISSN: | 1751-8113(print)
1751-8121(online) |
| Appears in Collections: | PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics
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