PH401 Quantum Physics 2000
About the 1st exam:
The exam will contain 10 multiple choice questions, and 6 problems requiring
calculation, explanation, and/or derivation. You may use a calculator and
one 3"X5" card of handwritten equations.
Topics to review for first exam:

light as wave and particle, experiments

matter as wave and particle

REQUIREMENTS ON WAVEFUNCTION

wavefunction with definite E & p

other wavefunction, Fourier transform

uncertainty principle

wavefunction at t from initial wavefunction

Dirac Delta function

GAUSSIAN FREE PARTICLE WAVEPACKET

eigenstate, eigenvalue

expectation values, uncertainties

ENERGY EIGENSTATE=STATIONARY STATE

definite E value DE=0.

EopY=EY

Y(x,t)= y(x)exp(iEt/hbar)

Y^{2} is indep of time, Dt=infinity

TISE

combo of energy eigenstates, not stationary state

used to get time dependence

TISE and PIECEWISE CONSTANT POTENTIALS

general solution for E<V

apply other requirements

often equation restricting energy eigenvalues

infinite square well, finite square well, barrier, other

TIME DEPENDENCE OF NONSTATIONARY STATES

wavefunction at t from initial wavefunction

period of oscillation of Y^{2} (not
constant)

three ways to get energy averages