Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Mardoyan, Levon"'
Autor:
Mardoyan, Levon
The quasiradial wave functions and energy spectra of the alternative model of spherical oscillator on the $D$-dimensional sphere and two-sheeted hyperboloid are found.
Comment: 5 pages, Contribution to the Proceedings of XVI-th International Col
Comment: 5 pages, Contribution to the Proceedings of XVI-th International Col
Externí odkaz:
http://arxiv.org/abs/0708.1868
Publikováno v:
Phys.Lett.A366:30-35,2007
We show that the inclusion of the monopole field in the three- and five-dimensional spherically symmetric quantum mechanical systems, supplied by the addition of the special centrifugal term, does not yield any change in the radial wavefunction and i
Externí odkaz:
http://arxiv.org/abs/hep-th/0610301
Publikováno v:
J.Phys.A40:5973-5980,2007
We consider the dipole transitions and the linear and quadratic Stark effect in the MICZ-Kepler system interpreting as a charge-dyon system. We show, that while the linear Stark effect in the ground state is proportional to azimuth quantum number(and
Externí odkaz:
http://arxiv.org/abs/cond-mat/0609768
Publikováno v:
Phys.Lett. B636 (2006) 137-141
We suggest the exactly solvable model of the oscillator on a four-dimensional hyperboloid which interacts with a SU(2) instanton. We calculate its wavefunctions and spectrum.
Comment: 6 pages, PACS numbers: 03.65-w, 11.30.Pb
Comment: 6 pages, PACS numbers: 03.65-w, 11.30.Pb
Externí odkaz:
http://arxiv.org/abs/hep-th/0602231
Autor:
Mardoyan, Levon, Nersessian, Armen
Publikováno v:
Phys.Rev. B72 (2005) 233303
We suggest the exactly solvable model of oscillator on the four-dimensional sphere interacting with the SU(2) Yang monopole. We show, that the properties of the model essentially depend on the monopole charge.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/hep-th/0508062
Autor:
Mardoyan, Levon
Publikováno v:
Phys.Atom.Nucl. 68 (2005) 1746-1755; Yad.Fiz. 68 (2005) 1808-1816
This paper deals with the dynamical system that generalizes the MIC-Kepler system. It is shown that the Schr\"{o}dinger equation for this generalized MIC-Kepler system can be separated in prolate spheroidal coordinates. The coefficients of the interb
Externí odkaz:
http://arxiv.org/abs/quant-ph/0310143
Autor:
Mardoyan, Levon
It is shown that the Hurwitz transformation connects the eight-dimensional repulsive oscillator problem with the five-dimensional Coulomb problem for continuous spectrum. The hyperspherical and parabolic bases for this system are calculated. The quan
Externí odkaz:
http://arxiv.org/abs/quant-ph/0308097
Autor:
Mardoyan, Levon
Publikováno v:
J.Math.Phys. 44 (2003) 4981-4987
This paper deals with dynamical system that generalizes the MIC-Kepler system. It is shown that the Schr\"{o}dinger equation for this generalized MIC-Kepler system can be separated in spherical and parabolic coordinates. The spectral problem in spher
Externí odkaz:
http://arxiv.org/abs/quant-ph/0306168
Publikováno v:
Theor.Math.Phys. 140 (2004) 958-964; Teor.Mat.Fiz. 140 (2004) 78-85
The linear Stark effect in the MIC-Kepler problem describing the interaction of charged particle with Dirac's dyon is considered. It is shown that constant homogeneous electric field completely removes the degeneracy of the energy levels on azimuth q
Externí odkaz:
http://arxiv.org/abs/quant-ph/0305027
Autor:
Mardoyan, Levon
In this article, in the framework of an analytical approach and with help of the generalized version of the Hurwitz transformation the five--dimensional bound system composed of the Yang monople coupled to a particle of the isospin by SU(2) and Coulo
Externí odkaz:
http://arxiv.org/abs/quant-ph/0302162