Geometry from dynamics, classical and quantum / Jose F. Carinena...[et al.].
Material type:
TextPublication details: New York : Springer, 2014.Description: xxv, 719 p. ; illISBN: - 9789401792196
- 530.15 23 C277
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 530.15 C277 (Browse shelf(Opens below)) | Available | 136078 |
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| 530.15 B986 Point group symmetry applications | 530.15 B996 Mathematics of classical and quantum physics | 530.15 C132 Physical mathematics / | 530.15 C277 Geometry from dynamics, classical and quantum / | 530.15 C336 Stochastic behavior in classical and quantum Hamiltonian systems | 530.15 C337 Linear transport theory | 530.15 C397(92/3) Nonequilibrium problems in many-particle systems |
Includes bibliographical references and index.
1. Some examples of linear and nonlinear physical systems and their dynamical equations--
2. The language of geometry and dynamical systems: the linearity paradigm--
3. The geometrization of dynamical systems--
4. Invariant structures for dynamical systems: poisson dynamics--
5. The classical formulations of dynamics of hamilton and lagrange--
6. The geometry of hermitean spaces: quantum evolution--
7. Folding and unfolding classical and quantum systems--
8. Integrable and superintegrable systems--
9. Lie-scheffers systems--
10. Appendices--
References--
Index.
This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables (""observables"" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful today.
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