## Classical and Quantum Mechanics of Noncentral Potentials: A Survey of Two-dimensional Systems"This book carries the study of mathematical methods for handling noncentral potentials in terms of dynamical invariants in context of both classical and quantum mechanics. The methods and results so derived could be of immediate concern if one resorts to account for the noncentral character of the underlying forces of nature, particularly for striking a better arrangement between the theory and the experiment in various branches of physical sciences and engineering. While the advancing technologies in recent years are constantly improving the experimental front, an account of the studies carried out here will definitely make the theoretical front more sound and viable for this purpose."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved |

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### Contents

General Introduction | 1 |

Classical Mechanics of Noncentral Time | 14 |

Classical Mechanics of Noncentral Time Dependent TD | 34 |

Copyright | |

9 other sections not shown

### Other editions - View all

Classical and Quantum Mechanics of Noncentral Potentials: A Survey of Two ... Radhey S. Kaushal No preview available - 2013 |

Classical and Quantum Mechanics of Noncentral Potentials Radhey S. Kaushal No preview available - 2014 |

### Common terms and phrases

adiabatic invariants anharmonic ansatz applications arbitrary functions Berry phase central potentials Chap Chapter classical and quantum classical mechanics coefficient functions constant of motion construction coordinates corresponding coupled defined derived differential equations dimensional discussed dynamical algebraic approach dynamical invariants dynamical systems eigenfunction eigenfunction-ansatz method eigenvalues equations of motion Ermakov systems exact invariants exact solution example exist expressed Feynman propagator Further Hamiltonian system harmonic Hietarinta higher dimensions integrable systems investigated Korsch Lagrangian Lawande Lett Lie algebraic linear literature Math mathematical NC potentials Noether's theorem noncentral nonintegrable nonlinear Note obtained oscillator P.G.L. Leach Painleve phase space Phys Poisson bracket potential parameters quantization quantum aspects quantum chaos quantum context quantum mechanics R.S. Kaushal rationalization method Schrodinger equation second invariant second order invariants Sect symmetries systems in 2D TD systems TDHO TDSE theorem time-dependence transformation variables wavefunction