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Look up the definition of the expected value ##\langle \hat X \rangle##.Zero1010 said:
Do i need to calculate the expectation value of the Hamiltonian?
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Homework Help Overview
The discussion revolves around the application of the generalized Ehrenfest Theorem in quantum mechanics, specifically in calculating the time derivatives of expectation values for spin operators
Discussion Character
- Exploratory, Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants discuss the need to compute the expectation value of the Hamiltonian in the context of the Ehrenfest theorem. There are questions about whether to use previously calculated values or given values for Sx and the Hamiltonian. Some participants express uncertainty about the commutation of operators and the implications for the time derivative of
.
Discussion Status
The discussion is active, with participants providing insights and questioning each other's reasoning. Some guidance has been offered regarding the computation of the expectation value of the commutator, and there is an ongoing exploration of the implications of the theorem in relation to the calculated expectation values.
Contextual Notes
Participants are working under the constraints of a homework assignment, which may limit the information available for discussion. There is a focus on the definitions and properties of operators involved in the problem.