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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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SUMMARY
The discussion centers around the application of the generalized Ehrenfest Theorem to calculate the time derivatives of expectation values for the spin operators
- Understanding of quantum mechanics, specifically the Ehrenfest Theorem.
- Familiarity with operators and their commutation relations in quantum mechanics.
- Knowledge of spin operators, particularly for spin-1/2 particles.
- Basic proficiency in linear algebra, especially matrix operations.
- Study the implications of the generalized Ehrenfest Theorem in quantum mechanics.
- Learn about the properties of commutators and their significance in quantum mechanics.
- Explore the derivation and applications of expectation values for quantum operators.
- Investigate the role of Hamiltonians in quantum systems, particularly in relation to spin dynamics.
Students and researchers in quantum mechanics, particularly those focusing on spin systems and the dynamics of quantum states. This discussion is beneficial for anyone looking to deepen their understanding of the Ehrenfest Theorem and its applications in quantum physics.