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the ground state wavefunction of a quantum mechanical simple harmonic oscillator of mass m and frequency , which is given by: Yo (x, t) = Ne-ot mw where a = the potential is V(x) = mw²x² and N is given by: N = = (;)³. Question By substituting into the time-dependent Schrödinger equation, prove that the ground state energy, Eo, is given by: E= hw

the ground state wavefunction of a quantum mechanical simple harmonic oscillator of mass m and frequency , which is given by: Yo (x, t) = Ne-ot mw where a = the potential is V(x) = mw²x² and N is given by: N = = (;)³. Question By substituting into the time-dependent Schrödinger equation, prove that the ground state energy, Eo, is given by: E= hw

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the ground state wavefunction of a quantum mechanical simple harmonic oscillator of mass m and frequency, which is given by: Question mw where a = the potential is V(x) = mw²x² and N is given by: N =) 9 ax² ¡Ent Yo (x, t) = Ne ze By substituting into the time-dependent Schrödinger equation, prove that the ground state energy, Eo, is given by: Eo ħw 2
Transcribed Image Text:the ground state wavefunction of a quantum mechanical simple harmonic oscillator of mass m and frequency, which is given by: Question mw where a = the potential is V(x) = mw²x² and N is given by: N =) 9 ax² ¡Ent Yo (x, t) = Ne ze By substituting into the time-dependent Schrödinger equation, prove that the ground state energy, Eo, is given by: Eo ħw 2
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