Q7) Hamiltonian equation in a constant magnetic field B = H and in strong B becomes...
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Q7) Hamiltonian equation in a constant magnetic field B = H and in strong B becomes This equation in weak B becomes -h²²qL. Bq²B² (x² + y²) + 2m 8m H≈ 2m H≈ Boĉ and Ē = 0 for a particle is (1) -ħ² 2 qBoLz 2m 2m (2) -ħ²²q² B² (x² + y²) 8m + 2m a) Solve the Hamiltonian equations in strong and weak magnetic field separately. Method that must be followed: To solve use separation of variables technique in cartesian coordinates. It is going to be harmonic oscillator in a box in x,y directions. In z direction it is unbounded, there is no potential in z direction. So, put two parallel plates in direction. The solution in z will be given by standing waves with separation of variables. b) Add some potential to Hamiltonian equations. And modify your answer in part a. (3) Q7) Hamiltonian equation in a constant magnetic field B = H and in strong B becomes This equation in weak B becomes -h²²qL. Bq²B² (x² + y²) + 2m 8m H≈ 2m H≈ Boĉ and Ē = 0 for a particle is (1) -ħ² 2 qBoLz 2m 2m (2) -ħ²²q² B² (x² + y²) 8m + 2m a) Solve the Hamiltonian equations in strong and weak magnetic field separately. Method that must be followed: To solve use separation of variables technique in cartesian coordinates. It is going to be harmonic oscillator in a box in x,y directions. In z direction it is unbounded, there is no potential in z direction. So, put two parallel plates in direction. The solution in z will be given by standing waves with separation of variables. b) Add some potential to Hamiltonian equations. And modify your answer in part a. (3)
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Related Book For
College Physics
ISBN: 978-0495113690
7th Edition
Authors: Raymond A. Serway, Jerry S. Faughn, Chris Vuille, Charles A. Bennett
Posted Date:
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