Selected Topics in Quantum and Statistical Mechanics

203-2-5131

Course information

Credit points
3.00
Lecture hours
3.00
TA hours
0.00
Lab hours
0.00
University's course list
2025 / 1 2022 / 1

Summary

EPR paradox and Bell inequalities (week 1)
The probability matrix (week 2)
Wigner function (week 3)
Quantum measurements (weeks 4-5)
Entanglement and entropy (week 6)
Quantum Computation (7-9)
Linear response theory, Kubo formula (week 10)
Adiabatic processes, Berry phase (week 11)
Born-Oppenheimer picture (week 12)
Dissipation and Decoherence (week 12)
Optional: Landauer and Quantum Pumping.
Optional: Master equations.
Optional: Feynman-Vernon Formalism.
Optional: The spin boson model.
Optional: RMT and banded matrices

Syllabus

  • EPR  paradox and Bell inequalities (week 1)
  • The probability matrix (week 2)
  • Wigner function (week 3)
  • Quantum measurements (weeks 4-5)
  • Entanglement and entropy (week 6)
  • Quantum Computation (7-9)
  • Linear response theory, Kubo formula (week 10)
  • Adiabatic processes, Berry phase (week 11)
  • Born-Oppenheimer picture (week 12)
  • Dissipation and Decoherence (week 12)
  • Optional: Landauer and Quantum Pumping.
  • Optional: Master equations.
  • Optional: Feynman-Vernon Formalism.
  • Optional: The spin boson model.
  • Optional: RMT and banded matrices

Bibliography

L.E.Ballentine, Quantum Mechanics (library code: QC 174.12.B35)
M.A. Nielsen and I.L.Chuang, Quantum Computation (library code: QA 76.889.N54)
http://arxiv.org/abs/quant-ph/0605180
http://arxiv.org/abs/1107.0568

נושאים נבחרים במכניקה קוונטית וסטטיסטית

203-2-5131

נתוני קורס

נקודות זכות
3.00
שעות הרצאה
3.00
שעות תרגול
0.00
שעות מעבדה
0.00
לקובץ הקורסים
2025 / 1 2022 / 1

תקציר

none

סילבוס

  • EPR  paradox and Bell inequalities (week 1)
  • The probability matrix (week 2)
  • Wigner function (week 3)
  • Quantum measurements (weeks 4-5)
  • Entanglement and entropy (week 6)
  • Quantum Computation (7-9)
  • Linear response theory, Kubo formula (week 10)
  • Adiabatic processes, Berry phase (week 11)
  • Born-Oppenheimer picture (week 12)
  • Dissipation and Decoherence (week 12)
  • Optional: Landauer and Quantum Pumping.
  • Optional: Master equations.
  • Optional: Feynman-Vernon Formalism.
  • Optional: The spin boson model.
  • Optional: RMT and banded matrices

ביבליוגרפיה

L.E.Ballentine, Quantum Mechanics (library code: QC 174.12.B35)
M.A. Nielsen and I.L.Chuang, Quantum Computation (library code: QA 76.889.N54)
http://arxiv.org/abs/quant-ph/0605180
http://arxiv.org/abs/1107.0568
Last changed on April 25, 2022 by Bar Lev, Yevgeny (ybarlev)