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number operator
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Discussion of the problem of one dimensional harmonic oscillator in quantum mechanics

The Hamiltonian operatorH = Px²/2m + 1/2 mw²X²Px is the momentum operatorX is the position operatorWe introduce two non Hermitian operatorsIt is known thatExpression ...
Notes

Number operator

In quantum mechanics, the number operator is an important mathematical operator associated with quantized systems, particularly those with discrete energy levels. The number operator is used to find …