problem 1:

a) Describe the fundamental postulates of quantum mechanics.
b) Describe the Dirac's bra and ket notations and illustrate its properties.

problem 2:

a) State and describe uncertainty principle.
b) Obtain the solutions of wave equation for a particle moving in one dimension in a constant potential field with limited walls.

problem 3:

a) Describe the time dependent perturbation theory.
b) Obtain Einstein probabitition based on this theory.

problem 4:

a) Define the panti's spin matrices. Illustrate and prove their properties.
b) Describe Clesback-Gordon coefficients.

problem 5:

a) What do you mean by angular momentum? Describe the commutation rules between them.
b) Obtain the eight values for L2 and Lz.

problem 6:

a) Describe Schrodinger’s and Heisenberg's pictures.
b) Obtain the equation of motion for Schrodinger’s picture.

problem 7:

a) Describe the physical importance of negative energy states.
b) Obtain the Dirac's relativistic assessment for a free particle.

problem 8: prepare a note on any two of the given:

a) Ortho normality of Eigen functions.
b) WKB method.
c) Wigner-Eckart theorm.
d) Dirac matrices.