Unformatted text preview:  a a is an eigenstate of A with eigenvalue a . Now consider the operator f ( A ) where f ( x ) is some function of x . ±ind the matrix elements A a  f ( A )  a ′ a in terms of the eigenvalues a and a ′ , and the function f ( a ). b) Make use of the result in part (a) to show that det A = e Tr ln A , (2) where A has a Fnite number of discrete eigenvalues. This expression can be generalized to the case when the eigenvalues are continuous, provided the trace in the exponent exists....
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This note was uploaded on 03/27/2011 for the course PHYS 6572 at Cornell.
 '08
 ELSER, V
 mechanics, Work

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