Physical Sciences and Mathematics Commons^™

Problem Set #8, David Peak

Problems

A bit of stat mech

Problems 1-3 refer to: N identical, noninteracting, and distinguishable spin-1/2 particles (i.e., their separation is much greater than their de Broglie wavelength) are placed in an external magnetic field. Assume the ground state energy of one such particle is 0 and the excited state energy is ε , and the system is in thermal equilibrium at temperature T.

Problem Set #1, David Peak

Problems

A little E&M practice

Problems 1-2 refer to: The electric field in a laser beam is given by E( x,t) = (1000V/m)sin[(πx10⁷rad/m) x + (3πx10¹⁵rad/s)t].

Problem Set #2, David Peak

Problems

A little energy and momentum practice (and units)

Problems 1-2 deal with “rest” energy and relativity.

Problem Set #5, David Peak

Problems

Expectations & 1D finite wells

Problem Set #3, David Peak

Problems

Comparing classical electromagnetic waves with photon probability waves.

Problem 1 refers to: A standing electric field wave (one with lots of photons) in a quantum wire stretching between x = 0 and x = L is described by E(x,t)=E_maxsin(3πx/L)cos(3πct/L). Let L = 900 nm.

Problem Set #4, David Peak

Problems

Some 1D infinite well stuff

Problem Set #6, David Peak

Problems

3D, 1-particle systems

Problem Set #7, David Peak

Problems

Atom stuff

Problem Set #9, David Peak

Problems

Another bit of stat mech

Problems 1-3 refer to: N identical, noninteracting, and distinguishable quantum harmonic oscillators (i.e., their separation is much greater than their de Broglie wavelength) are in thermal equilibrium at temperature T. The energy of each oscillator can be expressed as ε_n = nε , where ε is the level spacing and n = 0, 1, 2, … .

Problem Set #10, David Peak

Problems

Blackbody

Problem Set #12, David Peak

Problems

Solid stuff