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Classical and Quantum Mechanics of Noncentral Potentials: A Survey of Two-Dimensional Systems

Autor Radhey S. Kaushal
en Limba Engleză Paperback – 11 ian 2013
Non-central forces have a wide variety of applications in classical and quantum mechanics as demonstrated in this book. The author emphasizes the study of time-dependent potentials, predominantly in two dimensions, without neglecting the quite well understood time-independent case. The construction of invariants in the classical case and the study of solutions to Schrödinger's equation, as well as a detailed presentation of various mathematical techniques are of main concern to the author. The book addresses theoretical physicists and mathematicians, but it will also be useful for electrical and mechanical engineers.
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Specificații

ISBN-13: 9783662113271
ISBN-10: 3662113279
Pagini: 228
Ilustrații: XV, 209 p.
Greutate: 0.37 kg
Ediția:Softcover reprint of the original 1st ed. 1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. General Introduction.- 2. Classical Mechanics of Noncentral Time Independent (TID) Systems.- 3. Classical Mechanics of Noncentral Time Dependent (TD) Systems.- 4. Quantum Mechanics of Noncentral Time Independent Systems.- 5. Quantum Mechanics of Noncentral Time Dependent Systems.- 6. Noncentral Forces in Three Dimensions: A Brief Survey.- 7. Role and Scope of Dynamical Invariants in Physical Problems: Interpretation and Applications.- 8. Constrained Dynamical Systems and Invariants.- 9. Summary and Future Prospects.- Appendices.- 1. Field Theoretic Studies in Two Dimensions: Classical Analogue of Yang-Mills Theories.- 2. Classical and Quantum Integrability.- 3. Group Theoretical Methods and Constants of Motion.- References.

Caracteristici

This is the first monograph that tries to review the vast literature on time-dependent non-central forces. It teaches the mathematical techniques in great detail.