Wimberger, Sandro.

Nonlinear dynamics and quantum chaos: an introduction/ Sandro Wimberger - New York: Springer, 2014. - xiii, 206 p. : ill. ; 24 cm. - Graduate texts in physics. .

1 Introduction.

2 Fundamental terminology.

3 3Complexity.

4 Classical versus quantum dynamics.

4 Problems.

5 References.

6 Dynamical systems.

7 Evolution law.

8 One-dimensional maps.

9 Problems.

10 References.

11 Nonlinear Hamiltonian systems.

12 Integrable examples.

13 Hamiltonian formalism.

14 Important techniques in the Hamiltonian formalism.

15 Integrable systems.

16 Non-integrable systems.

17 Perturbation of low-dimensional systems.

18 Canonical perturbation theory.

19 Transition to chaos in Hamiltonian systems.

20 Criteria for local and global chaos.


9783319063423


Differentiable dynamical systems
Nonlinear mechanics
Quantum chaos
Mathematical physics
Physics
Statistical physics

535 / WIM/N