A Laplace transform approach to the quantum harmonic oscillator
classification
🪐 quant-ph
math-phmath.MP
keywords
harmoniclaplaceoscillatorquantumtransformapproachbehaviourdefinite
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The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin and at infinity.
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