Course: נושאים נבחרים במכניקה קוונטית וסטטיסטית .2022 א

Topic outline

Generating function
- Lecture 1 File
Gaussian distribution and CLT
- Lecture 2 File
Intermediate asymptotics
- Lecture 3 File
Levy’s generalized CLT, the law of large numbers, examples for the emergence of power-law distributions
- Lecture 4 File
Random walks and the corresponding intermediate asymptotes
- Lecture 5 File
Random walks on a lattice in 1, 2 and 3 dimensions; Polya's problem
- Lecture 6 File
Discrete random walks on 3 dimensions and Polya’s problem; RW with non identical steps.
- Lecture 7 File
Random walks with non-identical steps and correlated random walks
- Lecture 8 File
Example of a correlated RW; Renewal processes
- Lecture 9 File
Forward recurrence time; Statistical aging
- Lecture 10 File
Occupation time; The continuous time random walk
- Lecture 11 File
CTRW propagator; The Fokker-Planck equation I
- Lecture 12 File
The Fokker-Planck equation II and the Langevin equation
- Lecture 13 File
Home assignment 1
- Home assignment 1
Home assignment 2
- Home assignment 2