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Question about a Problem from Sakurai
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[QUOTE="Xyius, post: 4529055, member: 226245"] Hello! I am studying the Sakurai book on Quantum mechanics and I am doing a problem. I have the solutions to the problems to help me understand the material better but I do not understand this solution. [h2]Homework Statement [/h2] SEE "Sakurai Problem 1" in attachments K is the propagator in wave mechanics. [b]2. Solution[/b] SEE "Sakurai Problem 1" in attachments There are a few parts of this solution that I do not understand. 1.) In the first part it states that "The probability is.." [tex]P(Ea')=exp(-βEa')/Z[/tex] Probability of what? It doesn't actually tell me what the "Partition function" is or means. Isn't the propagator an operator? I thought in order to have a probability you need to have a state in mind. 2.) I also do not understand why the ground state energy is equal to that summation "U=..." in the next line. 3.) I do not understand the first change of variables in the differential, da' = L/2π dk If anyone could help me understand this, it would be much appreciated! :D [/QUOTE]
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