The Hamiltonian of an electron in a constant magnetic field B is given by H = µuỡ B. %3D where u is a positive constant and o = (0,,0,,0,) denotes the Pauli matrices. Let iHt/h @ = µB / ħ and I be the 2x2 unit matrix. Then the operator e' simplifies to
The Hamiltonian of an electron in a constant magnetic field B is given by H = µuỡ B. %3D where u is a positive constant and o = (0,,0,,0,) denotes the Pauli matrices. Let iHt/h @ = µB / ħ and I be the 2x2 unit matrix. Then the operator e' simplifies to
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Transcribed Image Text:The Hamiltonian of an electron in a constant magnetic fieldB is given by H = µỡ · B.
where u is a positive constant and o = (0,,0,,0,) denotes the Pauli matrices. Let
%3D
2
= µB /h and I be the 2x2 unit matrix. Then the operator
eiHt/h
simplifies to
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