A quantum-mechanical state ) is known to be a simultaneous eigenstate of two Hermitian operators A and B which anticommute, AB+BA=0. )? Illustrate your What can you say about the eigenvalues of A and B for state point using the parity operator (which can be chosen to satisfy n == ¹) and the momentum operator.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter8: Quantum Mechanics In Three Dimensions
Section: Chapter Questions
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4.3 A quantum-mechanical
state ) is known to be a simultaneous eigenstate of two
Hermitian operators A and B which anticommute,
AB+BA=0.
What can you say about the eigenvalues of A and B for state )? Illustrate your
point using the parity operator (which can be chosen to satisfy n = n¹ = ¹) and
the momentum operator.
Transcribed Image Text:4.3 A quantum-mechanical state ) is known to be a simultaneous eigenstate of two Hermitian operators A and B which anticommute, AB+BA=0. What can you say about the eigenvalues of A and B for state )? Illustrate your point using the parity operator (which can be chosen to satisfy n = n¹ = ¹) and the momentum operator.
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