PH401 Quantum Physics 2000

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:

• DUALITY
• light as wave and particle, experiments
• matter as wave and particle
• measurement problem
• coherent, incoherent
• REQUIREMENTS ON WAVEFUNCTION
• What are they?
• FREE PARTICLE
• wavefunction with definite E & p
• other wavefunction, Fourier transform
• uncertainty principle
• wavefunction at t from initial wavefunction
• Dirac Delta function
• GAUSSIAN FREE PARTICLE WAVEPACKET
• <x>, Dx, <p>, Dp
• group velocity
• OPERATORS
• E, p, x, K, H
• eigenstate, eigenvalue
• expectation values, uncertainties
• Schroedinger eqn
• 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
• ENERGY REPRESENTATION
• combo of energy eigenstates, not stationary state
• used to get time dependence
• used to get E averages
• TISE and PIECEWISE CONSTANT POTENTIALS
• general solution for E>V
• general solution for E<V
• apply other requirements
• often equation restricting energy eigenvalues
• infinite square well, finite square well, barrier, other
• TIME DEPENDENCE OF NON-STATIONARY STATES
• wavefunction at t from initial wavefunction
• period of oscillation of |Y|2 (not constant)
• three ways to get energy averages