perturbations

We have a time dependent perturbation caused by putting a transient negative potential brick centered in the well... Please see attached.

Quantum Mechanics Review

Please assist me with the attached quantum mechanics questions *4a not completed in solution.

free electron wave function

A free electron has a wave function given by ψ = A sin(1.0 x1010 x). x is given in meters. What are its a) wavelength b) momentum c) speed d) kinetic energy e) what would the wave function of a free proton traveling at the same speed be?

energy levels of electron

Determine the lowest four energy levels and wave functions of an electron trapped in an infinitely deep potential well of width 2.0 nm. What is the longest wavelength of light emitted by this system?

Water at 50 degrees C can be obtained by mixing together water, ice and steam

Water at 50 degrees C can be obtained by mixing together which one or more of the following combinations? Which of the others would have final temperatures higher than 50 degrees C and which lower than 50 degrees C? What will be the final temperatures for these combinations? a. 1 kilogram of ice at 0 degrees C and 1 kilogram of steam at 100 degrees C. b. 1 kilogram of ice at 0 degrees C and 1 kilogram of water at 100 degrees C. c. 1 kilogram of water at 0 degrees C and 1 kilogram of steam at 100 degrees C. d. 1 kilogram of water at 0 degrees C and 1 kilogram of water at 100 degrees C.