PHYS 670s Special Topics Advanced Statistical Mechanics Purdue

Homework 6 Phys660 Problem 1: We consider a two particle system, H(x1 , p1 , x2 , p2 ) = H1 (1 , p1 ) + H2 (2 , p2 ) + V (|x1 x2 |) x x (1) where the two Hamiltonians H1 (x, p) = H2 (x, p). For this system, we have a new symmetry, exchange symmetr

Physics 661: Quantum Mechanics Jiangping Hu August 18, 2007 Homepage: http:/www.physics.purdue.edu/ hu4 Contact information: hu4@physics.purdue.edu; Room 268 Phys Building; Phone: 4-3044 Notes can be downloaded from the website. Homework: Homewor

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Physics 660: Quantum Mechanics Jiangping Hu August 18, 2006 Homepage: http:/physics.purdue.edu/ hu4 Contact information: hu4@physics.purdue.edu; Room 268 Phys Building; Phone: 4-3044 Notes will be distributed in class. Homework: Homework will by

Homework 7 Phys660 Problem 1 (Projection operator) Consider two spin 1 particles. Dene S = S1 + S2 which is the total spin operator. Lets consider |s, m > be the eigenstates of S 2 , Sz . What are the values of s? Consider an operator J, it has

Homework 1 Phys660 Problem 1: Take position base |x >. On the one hand, we obtain, < x|p|x >= x < x|x > x p and < x|x|x >= x < x|x >, p p so < x|p|x > < x|x|x >= 0; x p on the other hand, we have < x|p|x > < x|x|x >=< x|[, p]|x >= i < x|x > . x p