hint and the result from the previous point, if necessary.
- Quantum Mechanics I Need The Solution For Point B Use The Hint And The Result From The Previous Point If Necessary 1 (68.52 KiB) Viewed 27 times
[Quantum Mechanics] I need the solution for point (b). Use the hint and the result from the previous point, if necessary
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[Quantum Mechanics] I need the solution for point (b). Use the hint and the result from the previous point, if necessary
[Quantum Mechanics] I need the solution for point (b). Use the
hint and the result from the previous point, if necessary.
Consider two identical, noninteracting spin-polarised particles with mass m and spin s in the following potential in one spatial dimension, So, if x € (0,L] , V (r) = {oc , otherwise (a) We characterise the spin state of the two particles via the wave function x (mo,,ms) where ms, and ms, are the spin projection quantum numbers of the two particles. What does spin polarisation imply for the values of these two quantum numbers? Is the wave function X symmetric, antisymmetric or neither under particle exchange? Justify your answer. [3] (b) Write down the Hamiltonian Ĥ of the two-particle system. [4] Hint: We assume no interaction between spatial and spin degrees of freedom, hence spin can be entirely neglected in H. If you use abstract notation, indicate the tensor product structure of the operators in the two-particle Hilbert space HH. If you employ spatial representation, use the coordinates 21 and 22.
hint and the result from the previous point, if necessary.
Consider two identical, noninteracting spin-polarised particles with mass m and spin s in the following potential in one spatial dimension, So, if x € (0,L] , V (r) = {oc , otherwise (a) We characterise the spin state of the two particles via the wave function x (mo,,ms) where ms, and ms, are the spin projection quantum numbers of the two particles. What does spin polarisation imply for the values of these two quantum numbers? Is the wave function X symmetric, antisymmetric or neither under particle exchange? Justify your answer. [3] (b) Write down the Hamiltonian Ĥ of the two-particle system. [4] Hint: We assume no interaction between spatial and spin degrees of freedom, hence spin can be entirely neglected in H. If you use abstract notation, indicate the tensor product structure of the operators in the two-particle Hilbert space HH. If you employ spatial representation, use the coordinates 21 and 22.