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For a particle described by the wavefunction in Equation (1), show that the expectation values for momentum and momentum-squared are given by shown in image b) For the same particle, show that the expectation values for position and position-squared are given by shown in image

For a particle described by the wavefunction in Equation (1), show that the expectation values for momentum and momentum-squared are given by shown in image b) For the same particle, show that the expectation values for position and position-squared are given by shown in image

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a) For a particle described by the wavefunction in Equation (1), show that the expectation

values for momentum and momentum-squared are given by

shown in image

b) For the same particle, show that the expectation values for position and position-squared are given by

shown in image

a) For a particle described by the wavefunction in Equation (1), show that the expectation values for momentum and momentum-squared are given by (p) = 0 (x) and = b) For the same particle, show that the expectation values for position and position-squared are given by (p²) 0 and ħ²π² L² 1 2 (2²) = ²/2 (²3 - ²/3). 4
Transcribed Image Text:a) For a particle described by the wavefunction in Equation (1), show that the expectation values for momentum and momentum-squared are given by (p) = 0 (x) and = b) For the same particle, show that the expectation values for position and position-squared are given by (p²) 0 and ħ²π² L² 1 2 (2²) = ²/2 (²3 - ²/3). 4
The following two questions refer to the wavefunction of a particle in the groundstate of an infinite square well with walls at x = L/2 and x = -L/2. This wavefunction can be written as V₁(t, x) = √√/²/₁ COS (1₂) e-iEt/ħ (1)
Transcribed Image Text:The following two questions refer to the wavefunction of a particle in the groundstate of an infinite square well with walls at x = L/2 and x = -L/2. This wavefunction can be written as V₁(t, x) = √√/²/₁ COS (1₂) e-iEt/ħ (1)
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