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Interpretation of Quantum Mechanics - NTMF036
Title: Interpretace kvantové mechaniky
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: winter
E-Credits: 4
Hours per week, examination: winter s.:2/1, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Additional information: http://utf.mff.cuni.cz/vyuka/NTMF036/
Guarantor: prof. RNDr. Pavel Krtouš, Ph.D.
Class: Fyzika
Classification: Physics > Theoretical and Math. Physics
Annotation -
Last update: doc. RNDr. Karel Houfek, Ph.D. (14.05.2021)
The course will concentrate on the foundations of quantum mechanics, especially on quantum measurement. We will discuss various interpretations of QM, their relations, advantages, and problems. Standard quantum mechanics. Reality and localization of the state collapse. Decoherence. Theory of hidden variables. Theory of measurement. Everett interpretation. Feynman formulation. Generalized QM. Lectures complementary to the standard course of QM. No deeper knowledge of QM is assumed.
Course completion requirements - Czech
Last update: prof. RNDr. Pavel Krtouš, Ph.D. (21.04.2023)

Forma zakončení předmětu je ústní zkouška.
Literature - Czech
Last update: prof. RNDr. Pavel Krtouš, Ph.D. (21.01.2004)
  • J.Formánek: Úvod do kvantové teorie, Academia, Praha, 1983.
  • J. von Neumann, Mathematical Foundations of Quantum mechanics, (překlad R. T. Beyer), Princeton University Press, Princeton, N.J., 1949.
  • editoři J. A. Wheeler, W. H. Zurek: Quantum Theory and Measurement, Princeton University Press, Princeton, N.J., 1983.
  • R. Omnes, The interpretation of quantum mechanics, Princeton University Press, Princeton, 1994.
  • editor W. Zurek: Complexity, Entropy and the Physics of Information, SFI Studies in the Science of Complexity, vol. VIII, Addison-Wesley, Reading, 1990.
  • editoři B. S. DeWitt, N. Graham: The Many-Worlds Interpretation of Quantum Mechanics, Princeton University Press, Princeton, N.J., 1973.
  • R. P. Feynman, R. B. Leighton, M. Sands: Feynmanove prednášky z fyziky, (překlad J. Foltin, D. Krupa), Alfa, Bratislava, 1986-89.
  • R. P. Feynman, A. R. Hibbs: Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965.
  • R. P. Feynman: The Strange Theory of Light and Matter, Princeton University Press, Princeton, N.J., 1985.
  • J. B. Hartle: The quantum mechanics of closed systems, ve sborníku Directions in General Relativity, editoři B. L. Hu, M. P. Ryan, C. V. Vishveshwara, Cambridge University Press, Cambridge, 1993.
  • J. B. Hartle: Spacetime quantum mechanics and the quantum mechanics of spacetime, %UCSBTH92-21, gr-qc/%9304006, přednáška v rámci 1992 Les Houches École d'été, Gravitation at Quantifications.
Requirements to the exam - Czech
Last update: doc. RNDr. Karel Houfek, Ph.D. (11.06.2019)

Zkouška je ústní, požadavky odpovídají sylabu, v detailech pak tomu, co bylo během semestru odpřednášeno.

Syllabus -
Last update: T_UTF (23.05.2003)
Standard quantum mechanics (QM).
Arrival of the quantum world on stage. Nature of the quantum description. Quantum states and measurement process. Specification of a quantum system. Statistical description. Time evolution. Compound systems. Quantum measurement and nature of state reduction. Interpretations of QM and their problems.

Theory of hidden variables.
Motivation. Arguments against hidden-variable theories. Bell inequalities.

Measurement theory.
Measurement of location by means of immediate interaction. Measurements of momentum and of more complicated observables. Stern-Gerlach experiment. Decoherence and effective reduction.

Everett interpretation of QM.
QM without state reduction. Quantitative predictions. One observer. Two observers. Tunneling between branches.

Feynman formulation of QM.
Histories and systems of histories. Quantum indistinguishability. Structure of histories. Amplitude and probability rules. Slit scatterings. Feynman integral. Symmetries and indistinguishable particles. Relation to standard QM.

Generalised QM.
Wigner formula. Interference and decoherence. Consistence of histories. Decoherence functional and decohering histories.

Interesting points.
Quantum cryptography. Quantum teleportation. Quantum bomb testing. Quantum cosmology.

 
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