Università Cattolica del Sacro Cuore Sede di Brescia

Dipartimento di Matematica e Fisica

"Niccolò Tartaglia"

 

 

Ciclo di Seminari

From Quantum

Chaos to Disorder

 

 

Relatore

Prof. Felix IZRAILEV

Universidad Autonoma de Puebla, Mexico

 

Calendario:

Lunedì 31 maggio 2010 ore 11-13 aula 8

Giovedì 3 giugno 2010 ore 11-13 aula 10

Lunedì 7 giugno 2010 ore 11-13 aula 8

Giovedì 10 giugno 2010 ore 11-13 aula 10

 

Via dei Musei, 41 Brescia

 

Nota: il ciclo di seminari costituisce parte del corso di Meccanica statistica. Gli studenti che intendono conseguire crediti di tipo f dovranno attestare con la firma la presenza ai singoli seminari.

 

 

 

 

Program

 

I. Chaos in classical Hamiltonian systems

1)                       Historical remarks

2)                       Charge particles in accelerators

3)                       Fermi-Pasta-Ulam paradox

4)                       Genesis of simulation in dynamics

5)                       Standard Chirikov map

6)                       Classical Chaos: properties

 

II. Quantum chaos

1)                       Kicked Rotor

2)                       Dynamical localization

3)                       Anderson localization

4)                       Deterministic diffusion

5)                       Quantum billiards

6)                       Random Matrix Theory

7)                       Universality of quantum chaos

8)                       Quantization of the standard map

9)                       Chaos in eigenstates

10)                  Many-body chaos

11)                  Chaotic dynamics for interacting particles

12)                  Two-body interaction models

13)                  Wave packet dynamics

14)                  Discussion

 

III. Chaos in quantum systems - applications

1)                  One-dimensional Bose System

2)                  Temporal chaos in integrable systems

3)                  Effective Hamiltonian approach to open systems

4)                  Chaos in scattering through quantum systems

5)                  Universal conductance fluctuations

6)                  Thermalization in closed systems

7)                  Finite time scale as physical reality

8)                  Final discussion