Symplectic Geometry and Quantum Mechanics
- ISBN-10
- 3764375752
- ISBN-13
- 9783764375751
- Category
- Mathematics
- Pages
- 368
- Language
- English
- Published
- 2006-08-06
- Publisher
- Springer Science & Business Media
- Author
- Maurice A. de Gosson
Description
This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.
Get the book
Other editions
Similar books
-
Geometry and Quantum Field Theory
By Daniel S. Freed, Karen K. UhlenbeckLECTURE 2 Classical Field Theory We have stressed that the Lagrangian and Hamiltonian formulations of mechanics are applicable to systems such as the electromagnetic and gravitational fields, which (classically) do not consist of ...
-
Geometric and Algebraic Topological Methods in Quantum Mechanics
By Giovanni Giachetta, Luigi Mangiarotti, Gennadi A SardanashvilyLet (Q”, 6) be a differential calculus over a K-ring A, and let P be a left A-module. Following Definition 1.3.2, one can construct the tensor product of modules Q & P and then define a left connection on P as a K-module morphism VP : P ...
-
Lectures on the Geometry of Quantization
By Alan Weinstein, Sean BatesThe Schwartz transform If M , N are smooth manifolds , then the map SM , n : T * M ~ T * N → T * ( M « N ) defined in local coordinates by ( ( , $ ) , ( g , n ) ) = ( x , y , - $ , n ) is a symplectomorphism which we will call ...
-
Symplectic Geometry and Fourier Analysis: Second Edition
By Nolan R. WallachIt contains as special cases the classical quantization of early quantum mechanics and the Kirillov association of unitary representations to orbits in the co-adjoint representation of a nilpotent Lie group.
-
Structure of Dynamical Systems: A Symplectic View of Physics
By J.M. SouriauReading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics.
-
Dynamical Systems IV: Symplectic Geometry and Its Applications
By V. I. Arnol'd, S. P. NovikovThis book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint.
-
Function Theory on Symplectic Manifolds
By Daniel Rosen, Leonid PolterovichThis is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics.
-
Structure of Dynamical Systems (Structure Des Systemes Dynamiques): A Symplectic View of Physics
By Jean-Marie SouriauThis book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.
-
Symplectic Fibrations and Multiplicity Diagrams
By Shlomo Sternberg, Victor Guillemin, Eugene LermanApplications of the techniques of symplectic geometry to describe 'symmetry breaking' in quantum physics.
-
An Introduction to Symplectic Geometry
By Rolf BerndtThis book would be an excellent text for a graduate course or as a source for anyone who wishes to learn about symplectic geometry.