Good quantum number
In quantum mechanics, given a particular Hamiltonian and an operator with corresponding eigenvalues and eigenvectors given by , then the numbers (or the eigenvalues) are said to be good quantum numbers if every eigenvector remains an eigenvector of with the same eigenvalue as time evolves. Hence, if: then we require for all eigenvectors in order to call a good quantum number (where s and s represent the eigenvectors and the eigenvalues of the Hamiltonian, respectively). Proof:Assume . If is an eigenvector of , then we have (by definition) that , and so :
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Good quantum number
In quantum mechanics, given a particular Hamiltonian and an operator with corresponding eigenvalues and eigenvectors given by , then the numbers (or the eigenvalues) are said to be good quantum numbers if every eigenvector remains an eigenvector of with the same eigenvalue as time evolves. Hence, if: then we require for all eigenvectors in order to call a good quantum number (where s and s represent the eigenvectors and the eigenvalues of the Hamiltonian, respectively). Proof:Assume . If is an eigenvector of , then we have (by definition) that , and so :
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In quantum mechanics, given a ...... by definition) that , and so :
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量子力学において、ある物理量の固有状態が同時に定常状態にもなっている時（つまりハミルトニアンと可換な時）、その物理量の固有値を良い量子数という。
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In quantum mechanics, given a ...... by definition) that , and so :
@en
量子力学において、ある物理量の固有状態が同時に定常状態にもなっている時（つまりハミルトニアンと可換な時）、その物理量の固有値を良い量子数という。
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Good quantum number
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良い量子数
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