Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems

Gerald H. Katzin; Jack Levine

doi:10.1063/1.522553

Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems

Journal of Mathematical Physics ◽

10.1063/1.522553 ◽

1975 ◽

Vol 16 (3) ◽

pp. 548-555 ◽

Cited By ~ 10

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Particle Systems ◽

Time Dependent ◽

Classical Particle ◽

Dynamical Symmetries ◽

Constants Of Motion

Download Full-text

Time‐dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II

Journal of Mathematical Physics ◽

10.1063/1.523286 ◽

1977 ◽

Vol 18 (3) ◽

pp. 424-431 ◽

Cited By ~ 7

Author(s):

Gerald H. Katzin ◽

Jack Levine ◽

Robert N. Sane

Keyword(s):

Dynamical Symmetry ◽

Particle Systems ◽

Time Dependent ◽

Classical Particle ◽

Constants Of Motion

Download Full-text

Time‐dependent quadratic constants of motion, symmetries, and orbit equations for classical particle dynamical systems with time‐dependent Kepler potentials

Journal of Mathematical Physics ◽

10.1063/1.525392 ◽

1982 ◽

Vol 23 (4) ◽

pp. 552-563 ◽

Cited By ~ 14

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Dynamical Systems ◽

Time Dependent ◽

Classical Particle ◽

Constants Of Motion

Download Full-text

Dynamical symmetries and constants of the motion for classical particle systems

Journal of Mathematical Physics ◽

10.1063/1.1666832 ◽

1974 ◽

Vol 15 (9) ◽

pp. 1460-1470 ◽

Cited By ~ 24

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Particle Systems ◽

Classical Particle ◽

Dynamical Symmetries

Download Full-text

Time‐dependent dynamical symmetries and constants of motion. III. Time‐dependent harmonic oscillator

Journal of Mathematical Physics ◽

10.1063/1.523401 ◽

1977 ◽

Vol 18 (6) ◽

pp. 1267-1274 ◽

Cited By ~ 19

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Dynamical Symmetries ◽

Constants Of Motion

Download Full-text

Infinitely many commuting symmetries and constants of motion in involution for explicitly time‐dependent evolution equations

Journal of Mathematical Physics ◽

10.1063/1.526219 ◽

1984 ◽

Vol 25 (4) ◽

pp. 918-922 ◽

Cited By ~ 14

Author(s):

W. Oevel ◽

A. S. Fokas

Keyword(s):

Evolution Equations ◽

Time Dependent ◽

Constants Of Motion

Download Full-text

TIME-DEPENDENT PERTURBATION THEORY FOR COULOMB SCATTERING IN FEW PARTICLE SYSTEMS

Scientific and Technical Volga region Bulletin ◽

10.24153/2079-5920-2016-6-5-25-29 ◽

2016 ◽

Vol 6 (5) ◽

pp. 25-29

Author(s):

A.V. Mikhailov ◽

◽

V.L. Shablov ◽

◽

Keyword(s):

Perturbation Theory ◽

Particle Systems ◽

Time Dependent ◽

Coulomb Scattering

Download Full-text

Time‐dependent vector constants of motion, symmetries, and orbit equations for the dynamical system r̈=îr{[Ü(t)/U(t)]r −[μ0/U(t)]r−2}

Journal of Mathematical Physics ◽

10.1063/1.525893 ◽

1983 ◽

Vol 24 (7) ◽

pp. 1761-1771 ◽

Cited By ~ 24

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Dynamical System ◽

Time Dependent ◽

Constants Of Motion ◽

Dependent Vector

Download Full-text

Vector Constants of Motion for Time-Dependent Kepler and Isotropic Harmonic Oscillator Potentials

Brazilian Journal of Physics ◽

10.1590/s0103-97332001000200024 ◽

2001 ◽

Vol 31 (2) ◽

pp. 304-307 ◽

Cited By ~ 1

Author(s):

O.M. Ritter ◽

F.C. Santos ◽

A. C. Tort

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Isotropic Harmonic Oscillator ◽

Constants Of Motion

Download Full-text

Continuous and Symmetrical Transformations in the Framework of Classical Particle Systems

10.15760/honors.607 ◽

2018 ◽

Author(s):

Nima laal

Keyword(s):

Particle Systems ◽

Classical Particle

Download Full-text

Scaling properties for a classical particle in a time-dependent potential well

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.1941067 ◽

2005 ◽

Vol 15 (3) ◽

pp. 033701 ◽

Cited By ~ 17

Author(s):

Edson D. Leonel ◽

P. V. E. McClintock

Keyword(s):

Time Dependent ◽

Classical Particle ◽

Potential Well ◽

Scaling Properties ◽

Dependent Potential

Download Full-text