Lax tensors and separable coordinates in (2+1) dimensions

Date

2000-11-01

Author

Baleanu, D
Baskal, S

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

176
views

0
downloads

We study the Lax tensors of the separable coordinates in (2+1) dimensions. The Lax tensors of the dual manifolds are investigated.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/64683

Journal

CZECHOSLOVAK JOURNAL OF PHYSICS

DOI

https://doi.org/10.1023/a:1022840419665

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Anti-de Sitter-Wave Solutions of Higher Derivative Theories GÜRSES, METİN; Hervik, Sigbjorn; Sisman, Tahsin Cagri; Tekin, Bayram (American Physical Society (APS), 2013-09-05) We show that the recently found anti-de Sitter (AdS)-plane and AdS-spherical wave solutions of quadratic curvature gravity also solve the most general higher derivative theory in D dimensions. More generally, we show that the field equations of such theories reduce to an equation linear in the Ricci tensor for Kerr-Schild spacetimes having type-N Weyl and type-N traceless Ricci tensors.
Singular potentials and moving boundaries in 3D Yuce, C (Elsevier BV, 2004-02-16) In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.
Effective Mass Dirac-Morse Problem with any kappa-value Arda, Altug; Sever, Ramazan; TEZCAN, CEVDET; Akcay, Hueseyin (IOP Publishing, 2010-04-01) The Dirac-Morse problem is investigated within the framework of an approximation to the term proportional to 1/r(2) in the view of the position-dependent mass formalism. The energy eigenvalues and corresponding wave functions are obtained by using the parametric generalization of the Nikiforov-Uvarov method for any kappa-value. We also study the approximate energy eigenvalues, and the corresponding wave functions in the case of the constant-mass for pseudospin, and spin cases, respectively.
Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces Shikakhwa, M. S.; Chair, N. (IOP Publishing, 2017-01-01) We construct the Hermitian Schrodinger Hamiltonian of spin-less particles and the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field, which are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved...
Discrete symmetries and nonlocal reductions GÜRSES, METİN; Pekcan, Asli; Zheltukhın, Kostyantyn (Elsevier BV, 2020-01-31) We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.

Citation Formats

D. Baleanu and S. Baskal, “Lax tensors and separable coordinates in (2+1) dimensions,” CZECHOSLOVAK JOURNAL OF PHYSICS, pp. 1189–1194, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64683.