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The following relations concerns an electron in 3-dimensions. (a) Is the operator O = 3âx · p, Hermitian? (b) Is the operator Ä = x · p invariant under the parity? (c) Does the Hamiltonian H = x ·L +L·x conserve orbital angular momentum?

The following relations concerns an electron in 3-dimensions. (a) Is the operator O = 3âx · p, Hermitian? (b) Is the operator Ä = x · p invariant under the parity? (c) Does the Hamiltonian H = x ·L +L·x conserve orbital angular momentum?

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The following relations concerns an electron in 3-dimensions. (a) Is the operator O = 3x p, Hermitian? (b) Is the operator  = x · p invariant under the parity? (c) Does the Hamiltonian H = Âx · L + L· x conserve orbital angular momentum?
Transcribed Image Text:The following relations concerns an electron in 3-dimensions. (a) Is the operator O = 3x p, Hermitian? (b) Is the operator  = x · p invariant under the parity? (c) Does the Hamiltonian H = Âx · L + L· x conserve orbital angular momentum?
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