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States with minimum energy for electrons in mag field with nonzero Lz
Yes, it's still a mess. By the way, the correct ground state is Ψ=Ne^{-\frac{mω}{ℏ}r^2} (forgot a minus). I can't see the edit button any more...- vdweller
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- Forum: Advanced Physics Homework Help
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States with minimum energy for electrons in mag field with nonzero Lz
Homework Statement For an electron in a uniform magnetic field, say B\hat{z} with no angular momentum, the Hamiltonian can be expressed as \hat{H}=\frac{1}{2m}\Big(\hat{p}_x^2+\frac{mω^2}{2}\hat{x}^2\Big)+\frac{1}{2m}\Big(\hat{p}_y^2+\frac{mω^2}{2}\hat{y}^2\Big) Which is equivalent to two...- vdweller
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- Electrons Energy Field Minimum States
- Replies: 4
- Forum: Advanced Physics Homework Help