Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 6, Problem 6.36P

(a)

To determine

The time reversal of the operators x^,p^.

(b)

To determine

The proof that time reversal invariance requires commutation of the time reversal operator with Hamiltonian operator.

(c)

To determine

The proof that for a time reversal invariant Hamiltonian, the complex conjugate of the stationary state wavefunction also has the same eigen value.

(d)

To determine

The time reversal for a momentum eigen function, for hydrogen wave function. Also, the verification of part (c).

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