# e Hamiltonian for a spin I system is given by HI=AS+B(S²-S). Solve this problem exactly to find the normalized energy eigenstates and eigenvalues. (A spin-dependent Hamiltonian of this kind actually appears in crystal physics.) Is this Hamiltonian invariant under time reversal? How do the normalized eigenstates you obtained transform under time reversal?

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4.12 e Hamiltonian for a spin I system is given by
H=AS+B(S-S).
Solve this problem exactly to find the normalized energy eigenstates and eigenvalues.
(A spin-dependent Hamiltonian of this kind actually appears in crystal physics.) Is
this Hamiltonian invariant under time reversal? How do the normalized eigenstates
you obtained transform under time reversal?
Transcribed Image Text:4.12 e Hamiltonian for a spin I system is given by H=AS+B(S-S). Solve this problem exactly to find the normalized energy eigenstates and eigenvalues. (A spin-dependent Hamiltonian of this kind actually appears in crystal physics.) Is this Hamiltonian invariant under time reversal? How do the normalized eigenstates you obtained transform under time reversal?
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