Quantum Physics Problems, 33-234

Questions and problems from Quantum Physics by Eisberg & Resnick are denoted with "Q" and "P". Supplemental problems are denoted with "S"


Week
  1. Jan 15 (Due Jan 18)
    Begin reading Chapter 5
    Chpt 5:
    1. Chpt 5, Q5.... Validity of Schroedinger equation.
    2. Chpt 5, P1.... Linear combination of solutions
    3. Chpt 5, P2(a thru d) Interpreting wave function as probability.
    4. Chpt 5, P3.... Harmonic Oscillator Solution

  2. Jan 22 (Due Jan 25)
    Complete reading Chpt 5.
    1. Chpt 5 P5.... Probability of finding particle within its classical limits in a H.O.
    2. Chpt 5 P6.... Diatomic Molecule
    3. Chpt 5 S1.... Find the average value of x and the standard deviation of x for the set x={1,3,5,7,9}
    4. Chpt 5 P14... Kinetic energy and potential energy expectation values
    5. Chpt 5 P15... Time-momentum product expectation value
    6. Chpt 5 P16... Plug time-separated solution into Schroedingers's Equations
    7. Chpt 5 P30... Qualitative behavior of V(x) and Psi(x)

  3. Jan 29 (Due Feb 1)
    Reading Chpt 6 Section 6.1 through 6.5
    1. Chpt 5, P27... Wave function in region with E < V
    2. Chpt 5, P28... How far does wave function extent into E < V area?
    3. Chpt 6, Q1.... Do solutions exist with E<0 when V=0 everywhere?
    4. Chpt 6, P1.... Standing wave vs. 2 traveling waves
    5. Chpt 6, P2.... T and R for particle with E>Vo traveling to left from V=Vo region to V=0 region.
    6. Chpt 6, P6.... Tunneling when ka>>1

  4. Feb 4 (Due Feb 8)
    Read remainder of Chpt 6.
    Prepare for Exam I Monday, Feb. 11.
    1. Chpt 6, P8.... Transmission of electron through potential barrier
    2. Chpt 6, P10... Proton plus carbon fusion reaction in sun
    3. Chpt 6, P20... Identifying states of infinite square well
    4. Chpt 6, P24... Infinite square well normalization
    5. Chpt 6, P32... States of macreoscopic pendulum

  5. Feb 11 (Due Feb 15)
    Read Chpt 7 Sections 7.1 to 7.6
    1. Chpt 7, P5.... Verify hydrogen ground state solution
      (Plug nlm=100 solution from Table 7-2 into LHS of Equ 7-10. Show that result is a constant times the initial wavefunction. What is the constant?

  6. Feb 18 (Due Feb 22)
    Read remainder of Chpt 7.
    1. Chpt 7, P3.... Ground state energies for hydrogen, deuterium, ionized helium
    2. Chpt 7, P8.... Confirm Virial Theorem
    3. Chpt 7, P11... Finding electron in cone near z-axis.
    4. Chpt 7, S1.... Click for Supplement Problem 7S1
    5. Chpt 7, P13... Angular momentum of nlm=4,3,2 state. Skip part (b) and note that parts (c) and (e) refer to the magnitude of L.
    6. Chpt 7, P16... Lx for nlm=2,1,-1 state

  7. Feb 25 (Due Mar 1)
    Read Chpt 8 Sections 8.1 to 8.6
    1. Chpt 7, P19... Eigenfunctions of Lz
    2. Chpt 8, P3.... Magnetic-dipole in non-uniform B-field. Note that the "B" given is the z-component of B. Assume other components can be neglected. (Is this realistic?) Also, be careful of units. The equation for B can be written as B =0.02 (T) + 0.115 (T/cm^2) * z^2
    3. Chpt 8, P4.... Two Stern-Gerlach beam splitters (Just write short, qualitative explanation.)
    4. Chpt 8, P5.... Determine field gradient required to split silver beams.

  8. Mar 4 (No class Thur and Fri. Due Mar 11 -Mon.)
    Complete Reading of Chpt 8
    1. Chpt 8, P6.... H atom in strong B-field
    2. Chpt 8, P7.... Energy splitting in muonic atom.
    3. Chpt 8, P10... l=4 s=1/2 states
    4. Chpt 8, P11... l=3, s=1/2 states
    5. Chpt 8, P13... Allowed transitions in hydrogen

  9. Mar 11 (Due Mar 15)
    Read Chpt 9 through 9.5
    1. Chpt 9, P2.... Separation of varibles solution for 2 identical particless
    2. Chpt 9, P3.... Exchange of particle coordinates
    3. Chpt 9, P5.... Three particle wavefunctions- 2 in same position
    4. Chpt 9, P9.... Energy due to Coulomb interaction between electrons
    5. Chpt 9, P12... The N! term for N electrons

  10. Mar 18 (Due Mar 22)
    Read Chpt 9 through 9.7
    1. Chpt 9, S1.... Click for Supplement Problem 9S1 Three electrons.
    2. Chpt 9, P15... Estimate of <|r1 - r2|> for two electrons.
    3. Chpt 9, P17... Angular momentum as a centrifugal potential barrier.
    4. Chpt 9, P18... Sketch V'(r) by adding "centrifugal term"(see P17) to P13 result.
    5. Chpt 9, P19... Write down spectroscopic notation for Nickel, etc.

  11. Mar 25 (Due Mar 29)
    Read Chpt 11 through 11.5
    1. Chpt 11, P1.... S and P (Hint for 2 systems, entropy S adds, probability P multiplies)
    2. Chpt 11, P2.... Maxwell and Fermi distributions due to collisions
    3. Chpt 11, P3.... Fermi distribution for T=0 limit.
    4. Chpt 11, P8.... Debye specific heat theory (Start with Equ. 11-30)
    5. Chpt 11, P11... Shottky specific heat (Two-state system)

  12. Apr 8 (Due Apr 12)
    Re-read Chpt 11 thru 11-8 (Skip 11-7)
    1. Chpt 11, P9.... Specific heat for cavity (Do this one first)
    2. Chpt 11, P12... Atmospheric pressure
    3. Chpt 11, P17... Fraction of hydrogen atoms in n=2 state.

  13. Apr 15 (Due Mon. Apr 22)
    Read Chpt 11 11-9 to 11-12
    1. Chpt 11, P26... Fermi energy at T=0 K.
    2. Chpt 11, P29... Fermi energy for a 1-D system.


  14. Apr 22 (Due Apr 26)
    Read Chpt 13 through Section 13-6
    1. Chpt 13, P15... Part a only. Fermi energy of alloy
    2. Chpt 13, P17... Fermi Temperature
    3. Chpt 13, P18... deBroglie wavelength and lattice spacing
    4. Chpt 13, P19... Density of states
    5. Chpt 13, P20... Specific heat due to electrons

  15. Apr 29 (Due May 3)
    Read Chpt 13 (skip Sections 13-7, 13-8 )
    1. Chpt 13, P25... Part a only. Number of electrons in conduction band
    2. Chpt 13, P26... Fermi energy in semiconductor (Use parts a & b of P25)
    3. Chpt 13, P27... Conductivity (use equation under eq. (13-2) )
    4. Chpt 13, P30... n-p-n transistor
    5. Chpt 13, P31... p-n junction diode


    Click to go to posted solutions