At t = 0, the wavefunction is given as: (x, t = 0) = bxe-ax on the domain 0 < x < ∞. (а) What is the average position of the particle? (b) What is the average linear momentum of the particle? (c) Calculate [f, p]Þ(x,0). Your answer should be explicit, including the details of Þ(x, 0).
At t = 0, the wavefunction is given as: (x, t = 0) = bxe-ax on the domain 0 < x < ∞. (а) What is the average position of the particle? (b) What is the average linear momentum of the particle? (c) Calculate [f, p]Þ(x,0). Your answer should be explicit, including the details of Þ(x, 0).
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![**Wavefunction Analysis**
At \( t = 0 \), the wavefunction is given as:
\[
\psi(x, t = 0) = bxe^{-ax}
\]
on the domain \( 0 \leq x < \infty \).
**Tasks:**
(a) What is the average position of the particle?
(b) What is the average linear momentum of the particle?
(c) Calculate \([x^3, \hat{p}] \psi(x, 0)\). Your answer should be explicit, including the details of \(\psi(x, 0)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e50119e-8646-4255-90fd-98958ba58941%2F0b292c08-6070-41a7-ba85-235a494bcbdb%2Fi2hidtq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Wavefunction Analysis**
At \( t = 0 \), the wavefunction is given as:
\[
\psi(x, t = 0) = bxe^{-ax}
\]
on the domain \( 0 \leq x < \infty \).
**Tasks:**
(a) What is the average position of the particle?
(b) What is the average linear momentum of the particle?
(c) Calculate \([x^3, \hat{p}] \psi(x, 0)\). Your answer should be explicit, including the details of \(\psi(x, 0)\).
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