A non-relativistic particle of mass m, and spin 1/2 is moving in a two-dimensional plane ,...
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A non-relativistic particle of mass m, and spin 1/2 is moving in a two-dimensional plane ₁, 2 subject to a potential kx² Kx² V(x1, x₂) = + ES₂ 2 where K = 4k,= 2√√ and S, is the z-component of the spin operator. (a) Find the ground state, first, second, third and fourth excited states of the Hamil- tonian and their energies, are there any degeneracies? (b) What is the probability to find the particle in the quadrant ₁ > 0,₂ > 0 with spin up, when the particle is in the ground state? (c) What is the probability to find the particle in the quadrant ₁ > 0,₂ > 0 with spin down, when the particle is in the ground state? A non-relativistic particle of mass m, and spin 1/2 is moving in a two-dimensional plane ₁, 2 subject to a potential kx² Kx² V(x1, x₂) = + ES₂ 2 where K = 4k,= 2√√ and S, is the z-component of the spin operator. (a) Find the ground state, first, second, third and fourth excited states of the Hamil- tonian and their energies, are there any degeneracies? (b) What is the probability to find the particle in the quadrant ₁ > 0,₂ > 0 with spin up, when the particle is in the ground state? (c) What is the probability to find the particle in the quadrant ₁ > 0,₂ > 0 with spin down, when the particle is in the ground state?
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2 4 K x 2 1 21 S 2 two dimension form Given the potential kx 2 V X X2 harmonic a Ap... View the full answer
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