Physics Homework Solutions

Calculating the commutator

Find the commutator: [F(x),p]. See attached file for full problem description.

Understanding the wave particle duality using problem

An electron of energy 200 eV is passed through a circular hole of radius 10^-4 cm. Find the uncertainty introduced in the angle of emergence? What would be the corresponding uncertainty for a 0.1 g lead ball thrown with a velocity 10^3 cm/s through a hole of 1 cm radius?

Understanding the wave particle duality using problem

Consider a Gaussian wave packet given by Psi(r)=(1/r) exp(i k.r) where,r=(x^2+y^2+z^2)^(1/2). Calculate the probabilistic current density and interpret the result physically.

Spectroscopic States

List the spectroscopic states (energy levels in the usual notation (2S+1)^L, that can arise from: one particle with S=1/2,L=3 one particle with S=2,L=1 two particles with s1=1/2,s2=1,L=4 two particles with s1=1,s2=1, L=3 two particles with s1=1/2,s2=1/2,L=2 Which of the two particles are excluded if the p ...continues

Materials exam study help/Request for 3 to 5 potential well problems worked out.

I have an exam tomorrow in my materials and devices class and am trying get more experience working potential well problems. The text for the class is Neamen - Semiconductor Physics and devices. I'd like to get 3 to 5 worked out problems involving the use of schroedinger's equation (position dependant - not involving time ...continues

Matrix representation of an operator.

Find the eigenvalues and eigenvectors of the operator. Normalize the eigenvectors. See attached file for full problem description.

Commutators and the harmonic oscillator

Commutators and the harmonic oscillator. See attached file for full problem description.

Operators and Eigenstates

If |0> and |1> denote the two eigenstates of N corresponding to the eigenvalues 0 and 1, respectively, show that c† |0> = |1> and c |0> = 0

Matrix representation

Find the unitary transformation which transforms into a diagonal matrix and verify that the diagonal elements are 0 , 3, and 3

A 1000 newton crate is being pushed across a level floor at a constant speed by a force of 300 newton at an angle of 20 degrees

A 1000 newton crate is being pushed across a level floor at a constant speed by a force of 300 newtons at an angle of 20 degrees below the horizontal A-what is the coeffecient of kinetic friction between the crate and the floor. B-if the 300 newton force is instead of pulling the block at an angle of 20 degrees above the hori ...continues

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