Answer Key #19 Quantum Mechanical Free Particle - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

357

Pages:

5
Author:

Jabin F.

Consider a free particle having momentum p and energy E that is confined in d-dimensional position space having volume (Non-relativistic), c (Photon) (Non-relativistic) (Photon) 2 (Non-relativistic), 1 (Photon) Volume of 3-D sphere with radius Volume of d-Dimensional sphere with radius Volume of Spherical Shell in d-Dimensions with Radius R and Thickness Area of d-Dimensional Sphere: (Coefficient of dR) (Coefficient of dR)= Allowed Volume of Phase Space If energy states are degenerate with degeneracy E=cp(Photon, g Compare with question 6, page 44: (Option c) g(ϵ)∝ϵ (Option c) Question 10, page 38: =3,f=3N=dimension of position space For default (Non-Relativistic Case): dE(Option a) Question 12, page 38: Degrees of freedom (Dof) of a rigid diatomic molecule: (vibrational excluded, both rigid) =5(vibrational excluded, both rigid) Number of molecules: Dof of the system: =50 Dimension of phase space: = 100 (Option d) 2f=100(Option d) In one Dimension, a rondom walker takes a step with equal probability to the left or right. What is the probability that the Walker retums to the starting after 4 steps ?. (82(a)

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Answer Key #19 Quantum Mechanical Free Particle

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