For the quantum-mechanical harmonic oscillator, the raising and 1 (Fip + mox). /2hm@ lowering operators are given by â, (a) Which expression would you use to find the ground state |0) ? Write it out. (b) Solve this equation. (c) Solve the Gaussian integral F = [ exp(-ax' )dx . (d) Using this result, normalize 0)
For the quantum-mechanical harmonic oscillator, the raising and 1 (Fip + mox). /2hm@ lowering operators are given by â, (a) Which expression would you use to find the ground state |0) ? Write it out. (b) Solve this equation. (c) Solve the Gaussian integral F = [ exp(-ax' )dx . (d) Using this result, normalize 0)
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Transcribed Image Text:For the quantum-mechanical harmonic oscillator, the raising and
lowering operators are given by â,
=(Tip + mox).
2hm@
(a) Which expression would you use to find the ground state 0) ? Write it out.
(b) Solve this equation.
(e) Solve the Gaussian integral F = [ exp(-ax')kex. °
(d) Using this result, normalize 0)
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