HKU PHYS4150/8150: Computational Physics

Notebooks

ODE_1.Methods

ODE_2.Chaotic Driven Pendulum

 

Run in Colab

Run in Colab

PDE_1. Relaxation Run in Colab

PDE_2. Neutron_TrafficFlow_Tsunami

Schrödinger Equation

Exact Diagonalization

ED for a 4-site Heisenberg chain

Symmetries & Block-diagonalization

Density Matrix Renormalization Group

Run in Colab

Run in Colab

Run in Colab

Run in Colab

Run in Colab

Run in Colab

Lecture Notes

Chap0

Chap1_1 

Chap1_2

Chap1_3

Chap1_4

Chap2_1

Chap2_2

Chap3_1

Additional Materials

1. The original paper by Verlet                                                     [Phys. Rev. 159, 98 (1967)]

2. Numerical Recipes, The Art of Scientific Computing                     Numerical Recipes

3. (a) Lighthill and Whitham (1955) Traffic flow model                   lighthill1955 

    (b) Lecture notes by Stephen Boyles on the LWR model             Lecture notes by Stephen Boyles

4. Shallow-water equations, C.H. Su and C.S. Gardner                   [J. Math. Phys. 10, 536 (1969)]

5. Ising model basics                                                                  2D_Ising_model Run in Colab

6. Computational Many-Particle Physics                                         PDF