Hidden symmetries of integrable conformal mechanical systems; Physics Letters A; Vol. 374, iss. 6

Hidden symmetries of integrable conformal mechanical systems; Physics Letters A; Vol. 374, iss. 6

Bibliografske podrobnosti
Parent link:	Physics Letters A: Scientific Journal Vol. 374, iss. 6.— 2010.— [P. 801–806]
Drugi avtorji:	Akopyan (Hakobyan) T. S. Tigran Stepanovich, Krivonos S. Sergey, Lechtenfeld O. Olaf, Nersessian A. P. Armen Petrosovich
Izvleček:	Title screen We split the generic conformal mechanical system into a “radial” and an “angular” part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N=4supersymmetric “angular” Hamiltonian system one may construct a new system with full N=4superconformal D(1,2;α) symmetry. Режим доступа: по договору с организацией-держателем ресурса
Jezik:	angleščina
Izdano:	2010
Teme:	электронный ресурс труды учёных ТПУ
Online dostop:	http://dx.doi.org/10.1016/j.physleta.2009.12.006
Format:	Elektronski Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641564

Podobne knjige/članki

Remark on quantum mechanics with conformal Galilean symmetry; Physics Letters B; Vol. 78, № 8
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2008)

Lobachevsky geometry of (super)conformal mechanics; Physics Letters A; Vol. 373, iss. 11
od: Akopyan (Hakobyan) T. S. Tigran Stepanovich
Izdano: (2009)

Ricci-flat spacetimes with l-conformal Galilei symmetry; Physics Letters B; Vol. 754
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2016)

Remarks on Multi-Dimensional Conformal Mechanics; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 5: Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries June 19-22, 2008, Prague, Czech Republic
od: Burdik C. Cestmir
Izdano: (2009)

Action-angle variables for dihedral systems on the circle; Physics Letters A; Vol. 374, iss. 46
od: Lechtenfeld O. Olaf
Izdano: (2010)

Remark on higher-derivative mechanics with l-conformal Galilei symmetry; Journal of Mathematical Physics; Vol. 57, № 9
od: Masterov I. V. Ivan Viktorovich
Izdano: (2017)

Introduction to Mechanics and Symmetry. A Basic Exposition of Classical Mechanical Systems
od: Marsden J. E. Jerrold E.
Izdano: (New York, Springer, 1999)

A new class of solutions to the WDVV equation; Physics Letters A; Vol. 374
od: Lechtenfeld O. Olaf
Izdano: (2010)

Coset spaces and Einstein manifolds with l-conformal Galilei symmetry; Nuclear Physics B; Vol. 911
od: Chernyavsky D. V. Dmitry Viktorovich
Izdano: (2016)

Invariants of the spherical sector in conformal mechanics; Journal of Physics A: Mathematical and Theoretical; Vol. 44, iss. 5
Izdano: (2011)

Noncommutative 5-dimensional subalgebras of a conformal algebra integrable in R; Russian Physics Journal; Vol. 38, iss. 5
Izdano: (1995)

The Dirac equation in an external electromagnetic field: symmetry algebra and exact integration; Journal of Physics: Conference Series; Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23)
od: Breev A. I. Aleksandr Igorevich
Izdano: (2016)

Noncommutative four-dimensional subalgebras of conformal algebra integrable in the space R; Russian Physics Journal; Vol. 38, iss. 2
Izdano: (1995)

New realizations of N=2 l-conformal Newton-Hooke superalgebra; Modern Physics Letters A; Vol. 30, iss. 13
od: Masterov I. V. Ivan Viktorovich
Izdano: (2015)

Calogero models and nonlocal conformal transformations; Physics Letters B; Vol. 643
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2006)

Methods of generating integrable potentials for the Sochrodinger equation and nonlocal symmetries; Soviet Physics Journal; Vol. 34, iss. 9
od: Bagrov V. G.
Izdano: (1991)

Noncommutative Integration and Symmetry Algebra of the Dirac Equation on the Lie Groups; Russian Physics Journal; Vol. 59, iss. 8
od: Breev A. I. Aleksandr Igorevich
Izdano: (2016)

Т. 374, № 6; Доклады Академии наук
Izdano: (2000)

Handbook of Quality System, Accreditation and Conformity Assessment
Izdano: (2024)

Conformal mechanics in Newton-Hooke spacetime; Nuclear Physics B; Vol. 832, № 3
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2010)

Integrable generalizations of oscillator and Coulomb systems via action–angle variables; Physics Letters A; Vol. 376, iss. 5
Izdano: (2012)

N = 4 l-conformal Galilei superalgebra; Physics Letters B; Vol. 771
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2017)

Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry; Journal of Mathematical Physics; Vol. 56, iss. 2
od: Masterov I. V. Ivan Viktorovich
Izdano: (2015)

Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity; Journal of Physics: Conference Series; Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23)
od: Shapovalov A. V. Aleksandr Vasilyevich
Izdano: (2016)

Relationship between quantum-mechanical systems with and without monopoles; Physics Letters A; Vol. 366, iss. 1-2
od: Mardoyan L. Levon
Izdano: (2007)

Real time gestures recognition based on Hidden Markov Models; Mechanical Engineering, Automation and Control Systems (MEACS)
od: Bauer А.
Izdano: (2014)

Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 3
od: Shapovalov A. V. Aleksandr Vasilyevich
Izdano: (2007)

Conformal mechanics inspired by extremal black holes in d = 4; Journal of High Energy Physics; № 11
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2011)

Conformal mechanics inspired by extremal black holes in d = 4; Journal of High Energy Physics; № 11
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2011)

Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian; Journal of Mathematical Analysis and Applications; Vol. 463, iss. 1
od: Go'ldshtein V. M. Vladimir
Izdano: (2018)

Subalgebras of the algebra of a conformal group with nontrivial center; Soviet Physics Journal; Vol. 33, iss. 5
Izdano: (1990)

Студенческая академическая мобильностьсоциальные проблемы; Социологические исследования; № 6 (374)
od: Корнева О. Ю. Ольга Юрьевна
Izdano: (2015)

Hidden Monitoring Based on Keystroke Dynamics in Online Examination System; Programming and Computer Software; Vol. 48, iss. 6
od: Kochegurova E. A. Elena Alekseevna
Izdano: (2022)

Remarks on l-conformal extension of the Newton-Hooke algebra; Physics Letters B; Vol. 702, № 4
od: Galajinsky A. V. Anton Vladimirovich
Izdano: (2011)

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1
od: Shapovalov A. V. Aleksandr Vasilyevich
Izdano: (2005)

Towards ℓ-conformal Galilei algebra via contraction of the conformal group; Nuclear Physics B; Vol. 998
od: Masterov I. V. Ivan Viktorovich
Izdano: (2024)

Polarization of Vavilov-Cherenkov Radiation in Violation of Axial Symmetry of the Process; Physics of Particles and Nuclei Letters; Vol. 20, iss. 2
od: Potylitsyn A. P. Alexander Petrovich
Izdano: (2023)

Integration of the d'Alembert equation by means of four-dimensional nonabelian symmetry subalgebras with a single second-order operator; Russian Physics Journal; Vol. 38, iss. 8
od: Shapovalov A. V. Aleksandr Vasilyevich
Izdano: (1995)

Т. 374, № 1; Доклады Академии наук
Izdano: (2000)

Т. 374, № 2; Доклады Академии наук
Izdano: (2000)