Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems; Physical Review D; Vol. 93, iss. 4
| Parent link: | Physical Review D: covering particles, fields, gravitation, and cosmology.— , 1970- Vol. 93, iss. 4.— 2016.— [045025, 14 p.] |
|---|---|
| Main Author: | Akopyan (Hakobyan) T. S. Tigran Stepanovich |
| Corporate Author: | Национальный исследовательский Томский политехнический университет Физико-технический институт Кафедра высшей математики и математической физики |
| Other Authors: | Nersessian A. P. Armen Petrosovich |
| Summary: | Title screen We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems and construct their constants of motion via the Dunkl operators. Their Schrodinger equations decouple in parabolic and elliptic coordinates into the set of three differential equations like for the Coulomb-Stark and two-center Coulomb problems. The Calogero term preserves the energy levels, but changes their degrees of degeneracy. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2016
|
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1103/PhysRevD.93.045025 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=646950 |
Similar Items
Two-center Coulomb problem with Calogero interaction; Physics of Atomic Nuclei; Vol. 80, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
Integrability of Calogero–Coulomb problems; Physics of Particles and Nuclei Letters; Vol. 14, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
Superintegrability of generalized Calogero models with oscillator or Coulomb potential; Physical Review D; Vol. 90, iss. 10
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2014)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2014)
Runge-Lenz vector in the Calogero-Coulomb problem; Physical Review A; Vol. 92, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2015)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2015)
Spherical Calogero model with oscillator/Coulomb potential: Classical case; Physical Review D; Vol. 93, iss. 12
Published: (2016)
Published: (2016)
Spherical Calogero model with oscillator/Coulomb potential: Quantum case; Physical Review D; Vol. 93, iss. 12
Published: (2016)
Published: (2016)
Symmetries in superintegrable deformations of oscillator and Coulomb systems: Holomorphic factorization; Physical Review D; Vol. 95, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
Constants of motion in deformed oscillator and Coulomb systems; Physics of Particles and Nuclei Letters; Vol. 14, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017)
The spherical sector of the Calogero model as a reduced matrix model; Nuclear Physics B; Vol. 858, iss. 12
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2012)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2012)
The cuboctahedric Higgs oscillator from the rational Calogero model; Journal of Physics A: Mathematical and Theoretical; Vol. 40, iss. 20
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2009)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2009)
Coulomb Liquids
by: March N. H.
Published: (London, Academic Press, 1984)
by: March N. H.
Published: (London, Academic Press, 1984)
Integrable generalizations of oscillator and Coulomb systems via action–angle variables; Physics Letters A; Vol. 376, iss. 5
Published: (2012)
Published: (2012)
Higher rank Killing tensors and Calogero model; Physical Review D; Vol. 85, iss. 8
by: Galajinsky A. V. Anton Vladimirovich
Published: (2012)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2012)
Calogero models and nonlocal conformal transformations; Physics Letters B; Vol. 643
by: Galajinsky A. V. Anton Vladimirovich
Published: (2006)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2006)
N=4 superconformal Calogero models; Journal of High Energy Physics; Vol. 11
by: Galajinsky A. V. Anton Vladimirovich
Published: (2007)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2007)
Coulomb explosion of "hot spot"; Physics of Plasmas; Vol. 23, iss. 9
Published: (2016)
Published: (2016)
Generation of Electron-Positron Pairs in Nuclear Coulomb Field; Russian Physics Journal; № 6
by: Kryshkin V. I.
Published: (1970)
by: Kryshkin V. I.
Published: (1970)
Coulomb explosion of the hot spot of micropinches; Technical Physics; Vol. 62, iss. 1
by: Oreshkin V. I. Vladimir Ivanovich
Published: (2017)
by: Oreshkin V. I. Vladimir Ivanovich
Published: (2017)
Remarks on N=4 Superconformal Extension of the Calogero Model; Modern Physics Letters A; Vol. 18, № 21
by: Galajinsky A. V. Anton Vladimirovich
Published: (2003)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2003)
Gravitational-Coulomb interaction in celestial mechanics; Russian Physics Journal; Vol. 55, iss. 4
by: Lasukov V. V. Vladimir Vasilievich
Published: (2012)
by: Lasukov V. V. Vladimir Vasilievich
Published: (2012)
Relativistic Exotic Atom of Coulomb Type; Russian Physics Journal; Vol. 64, iss. 8
by: Lasukov V. V. Vladimir Vasilievich
Published: (2021)
by: Lasukov V. V. Vladimir Vasilievich
Published: (2021)
Quantum Dynamics of Biological Plasma in the External Coulomb Field; Russian Physics Journal; Vol. 56, iss. 5
by: Lasukov V. V. Vladimir Vasilievich
Published: (2013)
by: Lasukov V. V. Vladimir Vasilievich
Published: (2013)
Observation of relativistic electrons deflection by a bunch coulomb field; RReps'11. Radiation from Relativistic Electrons in Periodic Structures
by: Naumenko G. A. Gennadiy Andreevich
Published: (2011)
by: Naumenko G. A. Gennadiy Andreevich
Published: (2011)
Three-dimensional oscillator and Coulomb systems reduced from Kahler spaces; Journal of Physics A: Mathematical and General; Vol. 37, iss. 7
by: Nersessian A. P. Armen Petrosovich
Published: (2004)
by: Nersessian A. P. Armen Petrosovich
Published: (2004)
Direct Observation of a semi-bare electron coulomb field recover; RReps'11. Radiation from Relativistic Electrons in Periodic Structures
by: Naumenko G. A. Gennadiy Andreevich
Published: (2011)
by: Naumenko G. A. Gennadiy Andreevich
Published: (2011)
Lobachevsky geometry of (super)conformal mechanics; Physics Letters A; Vol. 373, iss. 11
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2009)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2009)
Lowest-energy states in parity-transformation eigenspaces of SO(N) spin chain; Nuclear Physics B; Vol. 898
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2015)
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2015)
Integral variable structure controller; Mechatronics: devices and control
by: Tutov I. A. Ivan Andreevich
Published: (2015)
by: Tutov I. A. Ivan Andreevich
Published: (2015)
Direct observation of a semi-bare electron coulomb field recover; Journal of Physics: Conference Series; Vol. 357, iss. 1: RREPS-2011: Radiation from Relativistic Electrons in Periodic Structures
by: Naumenko G. A. Gennadiy Andreevich
Published: (2012)
by: Naumenko G. A. Gennadiy Andreevich
Published: (2012)
Separation of variables in the Dirac equation in Stackel spaces; Classical and Quantum Gravity; Vol. 7, iss. 4
by: Bagrov V. G.
Published: (1990)
by: Bagrov V. G.
Published: (1990)
Separation of variables in the Klein-Gordon equations. IV; Soviet Physics Journal; Vol. 18, iss. 3
Published: (1975)
Published: (1975)
Separation of variables in the Klein-gordon equations. III; Soviet Physics Journal; Vol. 17, iss. 6
Published: (1974)
Published: (1974)
Separation of variables in the Klein — Gordon equation. I; Soviet Physics Journal; Vol. 16, iss. 11
Published: (1973)
Published: (1973)
Separation of variables in the Klein-Gordon equations. II; Soviet Physics Journal; Vol. 16, iss. 12
Published: (1973)
Published: (1973)
Stark Effect in Charge–Dyon System; Theoretical and Mathematical Physics; Vol. 140, iss. 1
by: Mardoyan L. G.
Published: (2004)
by: Mardoyan L. G.
Published: (2004)
On two-dimensional integrable models with a cubic or quartic integral of motion; Journal of High Energy Physics; № 9
by: Galajinsky A. V. Anton Vladimirovich
Published: (2013)
by: Galajinsky A. V. Anton Vladimirovich
Published: (2013)
Coexistence of two spatial structures in separate nanocrystallites; Korus 2002; Vol. 1
Published: (2002)
Published: (2002)
A course in Mathemtic; Vol. II:Integral Calculus Functions of Several Variables, Space Geometry differential equations
by: Woods F. S. Frederick S.
Published: (Boston, Ginn and Company, 1909)
by: Woods F. S. Frederick S.
Published: (Boston, Ginn and Company, 1909)
Separation of variables in the wave equation. Sets of the type (1.1) and Schrodinger equation; Soviet Physics Journal; Vol. 34, iss. 2
by: Bagrov V. G.
Published: (1991)
by: Bagrov V. G.
Published: (1991)
Separation of variables in the Dirac equation in Stackel spaces. II. External gauge fields; Classical and Quantum Gravity; Vol. 8, iss. 1
by: Bagrov V. G.
Published: (1991)
by: Bagrov V. G.
Published: (1991)
Similar Items
-
Two-center Coulomb problem with Calogero interaction; Physics of Atomic Nuclei; Vol. 80, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017) -
Integrability of Calogero–Coulomb problems; Physics of Particles and Nuclei Letters; Vol. 14, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2017) -
Superintegrability of generalized Calogero models with oscillator or Coulomb potential; Physical Review D; Vol. 90, iss. 10
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2014) -
Runge-Lenz vector in the Calogero-Coulomb problem; Physical Review A; Vol. 92, iss. 2
by: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Published: (2015) -
Spherical Calogero model with oscillator/Coulomb potential: Classical case; Physical Review D; Vol. 93, iss. 12
Published: (2016)