Quantum Mechanics I
Good work with the final! All solutions available, and the
distributions for the midterm and the final posted.
Mon Wed Fri 9:00-10:00 160
- Discussion section: Wed 4-5 3113 ETCHEVERR, F 2-3 9 LEWIS
weekly, due Mondays, 4pm
Exams: one Midterm, one Final
TA: Matthijs Randsdorp
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447 Birge, 50A-5109 (LBNL)
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TA: Jarah Evslin
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Office: 475 Birge
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- 137AB or equivalent
- Fundamental Concepts
- Quantum Dynamics
- Symmetry in Quantum Mechanics
- Approximation Methods
"Modern Quantum Mechanics," J. J. Sakurai,
Addison and Wesley (1994). (required)
"Quantum mechanics," by Albert Messiah, Amsterdam,
North-Holland Pub. Co. (1961).
"Quantum mechanics: non-relativistic theory," by
L. D. Landau and E. M. Lifshitz, 3rd ed., rev. and enl.,
Oxford, New York, Pergamon Press (1977).
- The Super-Kamiokande Collaboration, "Evidence for
Oscillation of Atmospheric Neutrinos," Phys. Rev.
Lett. 81, 1562-1567 (1998), hep-ex/9807003
- R. P. Feynman, "Space-Time Approach to Non-Relativistic
Quantum Mechanics," Rev.
Mod. Phys. 20, 367 (1948)
- Y. Aharonov and D. Bohm, "Significance of Electromagnetic
Potentials in the Quantum Theory," Phys.
Rev. 115, 485 (1959)
- W.-T. Lee, O. Motrunich, B. E. Allman, and S. A. Werner,
"Observation of Scalar Aharonov-Bohm Effect with
Longitudinally Polarized Neutrons," Phys.
Rev. Lett. 80, 3165-3168 (1998)
- R. Colella and A. W. Overhauser, S. A. Werner,
"Observation of Gravitationally Induced Quantum
Rev. Lett. 34, 1472 (1975)
- S. A. Werner and J. -L. Staudenmann, R. Colella, "Effect
of Earth's Rotation on the Quantum Mechanical Phase of the
Rev. Lett. 42, 1103 (1979)
- A review
talk on neutron interferometry. It has an emphasis on the
Aharonov-Casher effect, which has a line charge and a
maagnetic moment going around it. This is the opposite from
the Aharonov-Bohm effect, where the magnetic field (one can
view this as a "line magnetic moment") is at rest and the
charge moves around it. Hopefully this example addresses some
of your skepticisms about the Aharonov-Bohm effect. The
review has nice pictures.
- A. Tonomura, N. Osakabe, T. Matsuda, T. Kawasaki,
J. Endo, S. Yano and H. Yamada, "Evidence for Aharonov-Bohm
effect with magnetic field completely shielded from electron
Rev. Lett. 56, 792 (1986)
- S. A. Werner, R. Colella, A. W. Overhauser, C. F. Eagen,
"Observation of the Phase Shift of a Neutron Due to Precession
in a Magnetic Field," Phys.
Rev. Lett. 35, 1053 (1975). Also, Rauch et al,
Phys. Lett. 54A, 425 (1975).
- J.S. Bell, Physics 1, 195 (1964).
Experimentally more accessible case was discussed in John
F. Clauser, Michael A. Horne, Abner Shimony, and Richard
A. Holt, Phys.
Rev. Lett. 23, 880 (1969).
- Stuart J. Freedman and John F. Clauser, "Experimental
Test of Local Hidden-Variable Theories," Phys.
Rev. Lett. 28, 938 (1972). The inequality used in
this work was explained in detail in John F. Clauser and
Michael A. Horne, "Experimental consequences of objective
local theories," Phys.
Rev. D 10, 526 (1974). See also more recent
experiments: Alain Aspect, Philippe Grangier, and Gérard
Roger, "Experimental Tests of Realistic Local Theories via
Bell's Theorem," Phys.
Rev. Lett. 47, 460 (1981). Alain Aspect, Jean
Dalibard, and Gérard Roger, "Experimental Test of
Bell's Inequalities Using Time-Varying Analyzers," Phys.
Rev. Lett. 49, 1804 (1982). There still appear
to be some proponents for hidden variable theory around. I
happened to find one quant-ph/0007102.
- For a recent study of atmoic parity violation, see
S. C. Bennett and C. E. Wieman, Phys.
Rev. Lett. 82, 2484-2487 (1999). This works
shows 2.5 sigma deviation from the Standard Model.
- CPLEAR Collaboration (A. Angelopoulos et al.),
"First Direct Observation of Time Reversal Noninvariance in
the Neutral Kaon System," Phys.
Lett. B444, 43-51 (1998).
Basics of MRI (Medical Resonance Imaging) by Joseph P. Hornak.