Consider a particle of spin s = 3/2.(a) Find the matrices representing the operators S^x, S^y,S^z,^Sx2and ^S y2 within the basis of^S2and S^z(b) Find the energy levels of this particle when its Hamiltonian is given by ^H=ϵ 0h2( Sx2−S y2)−ϵ 0h( S^Z )where ϵ 0is a constant having the dimensions of energy. Are these levels degenerate?(c) If the system was initially in an eigenstate Ψ0=(1000), find the state of the system at time Consider a particle of spin s = 3/2.(a) Find the matrices representing the operators S,,S,,Ŝ,,s andS and Ŝ,within the basis of(b) Find the energy levels of this particle when its Hamiltonian is given byhwhere€, is a constant having the dimensions of energy. Are these levels degenerate?1(c) If the system was initially in an eigenstate Y,=|find the state of the system at time t

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Answered: Consider a particle of spin s = 3/2.…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Consider a particle of spin s = 3/2. (a) Find the matrices representing the operators S^ x , S^ y ,S^ z , ^ Sx 2 and ^ S y 2 within the basis of ^ S 2 and S^ z (b) Find the energy levels of this particle when its Hamiltonian is given by ^H= ϵ 0 h 2 ( Sx 2−S y 2 )− ϵ 0 h ( S^ Z ) where ϵ 0 is a constant having the dimensions of energy. Are these levels degenerate? (c) If the system was initially in an eigenstate Ψ0=( 1 0 0 0) , find the state of the system at time

Consider a particle of spin s = 3/2.
(a) Find the matrices representing the operators S,,S,,Ŝ,,s and
S and Ŝ,
within the basis of
(b) Find the energy levels of this particle when its Hamiltonian is given by
h
where
€, is a constant having the dimensions of energy. Are these levels degenerate?
1
(c) If the system was initially in an eigenstate Y,=|
find the state of the system at time t

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