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

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.

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.