Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Yeghikyan, Vahagn"'
Autor:
Bellucci, Stefano, Yeghikyan, Vahagn
The paper studies the quantum mechanical Coulomb problem on a 3-sphere. We present a special parametrization of the ellipto-spheroidal coordinate system suitable for the separation of variables. After quantization we get the explicit form of the spec
Externí odkaz:
http://arxiv.org/abs/1302.0798
Publikováno v:
Phys.Rev. D87: 045005, 2013
We construct the isospin particle system on $n$-dimensional quaternionic projective spaces in the presence of BPST-instanton by the reduction from the free particle on $(2n+1)$-dimensional complex projective space. Then we add to this system a "quate
Externí odkaz:
http://arxiv.org/abs/1212.1663
Publikováno v:
Mod.Phys.Lett. A27:1250191,2012
We construct the action-angle variables for the spherical part of conformal mechanics describing the motion of a particle near extreme Kerr throat. We indicate the existence of the critical point $|p_\varphi|=mc R_{\rm Sch}$ (with $m$ being the mass
Externí odkaz:
http://arxiv.org/abs/1112.4713
Autor:
Hakobyan, Tigran, Lechtenfeld, Olaf, Nersessian, Armen, Saghatelian, Armen, Yeghikyan, Vahagn
Publikováno v:
Phys.Lett. A376:679-686,2012
Oscillator and Coulomb systems on N-dimensional spaces of constant curvature can be generalized by replacing their angular degrees of freedom with a compact integrable (N-1)-dimensional system. We present the action-angle formulation of such models i
Externí odkaz:
http://arxiv.org/abs/1108.5189
Autor:
Yeghikyan, Vahagn
We consider the reductions of $2p$-dimensional particle system ($p=2,4,8$), associated with the Hopf map. For the third Hopf map we explicitly construct the functions associated to the symmetry related to the rotations in the fiber.
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Externí odkaz:
http://arxiv.org/abs/1101.4299
Publikováno v:
J.Comput.Theor.Nanosci.8:769-775,2011
We suggest to use the action-angle variables for the study of properties of (quasi)particles in quantum rings. For this purpose we present the action-angle variables for three two-dimensional singular oscillator systems. The first one is the usual (E
Externí odkaz:
http://arxiv.org/abs/1008.3865
Publikováno v:
Mod.Phys.Lett.A26:1393-1405,2011
We present the explicit formulae relating Hopf maps with Wigner's little groups. They, particularly, explain simple action of group on a fiber for the first and second Hopf fibrations, and present most simplified form for the third one. Corresponding
Externí odkaz:
http://arxiv.org/abs/1008.2589
Publikováno v:
Phys.Lett.A374:4647-4652,2010
A nonrelativistic particle on a circle and subject to a cos^{-2}(k phi) potential is related to the two-dimensional (dihedral) Coxeter system I_2(k), for k in N. For such `dihedral systems' we construct the action-angle variables and establish a loca
Externí odkaz:
http://arxiv.org/abs/1005.0464
Publikováno v:
J.Phys.A43:045205,2010
Using the second Hopf map, we perform the reduction of the eight-dimensional (pseudo)spherical (Higgs)oscillator to a five-dimensional system interacting with a Yang monopole. Then, using a standard trick, we obtain, from the latter system, the pseud
Externí odkaz:
http://arxiv.org/abs/0905.3461
Autor:
Nersessian, Armen, Yeghikyan, Vahagn
We present the higher-dimensional generalization of anisotropic (pseudo)spherical oscillator suggested recently in [arXiv:0710.5001], and the related spherical and pseudosperical generalizations (MICZ-)Kepler like systems with Stark term and $\cos\th
Externí odkaz:
http://arxiv.org/abs/0711.1033