Massachusetts Institute of Technology

Department of Physics

Physics 8.04 May 3, 1997

Quantum Physics I, Spring 1997

Problem Set 10: last one :^(

(Due Friday, May 9 at 5:00 pm sharp.)

Agenda and required readings for the weeks of April 21:

The abbreviations are RH = Resnick and Halliday (section numbers), G = Gasiorowicz (section(s) contained within the given range of pages), H = Heisenberg (section numbers), FT = French and Taylor (section numbers), CN = class notes provided on the web.

• L20, 05/06: Symmetry and Eigenstates; Solution for bound states of finite square well, Begin formal treatment of Simple Harmonic Oscillator
  Readings: ``Notes on Solution of the Time Independent Schrödinger Equation (TISE) for the Finite Square Well,'' Secs 1.6-1.8; G pp. 103-104, CN ``Notes on Solution of the Time Independent Schrödinger Equation (TISE) for the Simple Harmonic Oscillator,'' Sec. 1; G 103-104
• L21, 05/08: Solution of Simple Harmonic Oscillator Cont'd
  Readings: CN ``Notes on Solution of the Time Independent Schrödinger Equation (TISE) for the Simple Harmonic Oscillator,'' Secs 2-3; G 105-108

Work requested of the students is highlighted by either a question mark (?) or .

• Contents
• Explain Chemistry
  • A model for electrons in a diatomic molecule
    • Bonding of
    • Nobility of He
• Fermi Pressure: prying open a quantum box
  • Slow change
  • Sudden Change
  • Ideal Electron Gas Law in One Dimension
• Prove that the Virial Theorem is True, even in Quantum Mechanics
  • General Proof
  • Examples
• Breakdown of Qualitative Heisenberg Uncertainty Principle Reasoning
• About this document ...

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