1. SylabUZ
2. Faculty of Physics and Astronomy
3. winter term 2018/2019
4. Physics and Astronom - PhD studies
5. Lecture I-P

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Lecture I-P - course description

Aim of the course

The main aim of the lecture is to familiarize students with some ideas of the theory of such irreversible quantum processes like quantum theory of unstable states and their early and late time properties, problems of the control of the decay processes and related questions.

Prerequisites

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Knowledge of mathematics on the level of ,,Analysis I and II”, of physics on the level of ,,Fundamentals of physics” I – IV and of the quantum theory on the level of “Quantum mechanics I (Foundations of Quantum Physics)”.

Scope

Classical decay theory, quantum non-decay probabilisty, Weisskopf-Wigner approximation, equation for a projection of a state-vector: general and one-dimensional cases, early and late time properties of the survival amplitude, model based on the Breit-Wigner energy distribution function, many successive measurements of the unstable state: quantum Zeno effect. Two particle case – neutral kaons, Lee-Oehme-Yang approach.

Teaching methods

Conventional lecture.

Learning outcomes and methods of theirs verification

Outcome description	Outcome symbols	Methods of verification	The class form

Assignment conditions

The course credit is obtained by passing a final written exam and discussion.

Recommended reading

1. L. Fonda, G. C. Ghirardii and A. Rimini, Rep. on Prog. in Phys. 41, 587, (1978).

2. A. N. Kolmogorov, S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, Dover Publ. Inc., 1999.

3. F. W. J. Olver, Asymtotics and special functions, Academic Press, New York 1974.

4. K. Urbanowski, Phys. Rev. A 50, 2847, (1994).

5. A. Galindo and P. Pascual, Quantum Mechanics, vol. 2, Chap. 11, Springer Verlag (1991),

Further reading

Notes

Modified by dr Joanna Kalaga (last modification: 06-08-2018 09:18)