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Course, academic year 2023/2024
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Collective Dynamics of Manybody systems - NJSF193
Title: Kolektivní dynamika mnohočásticových systémů
Guaranteed by: Institute of Particle and Nuclear Physics (32-UCJF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2020
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Pavel Cejnar, Dr., DSc.
Mgr. Pavel Stránský, Ph.D.
Annotation -
Last update: doc. Mgr. Milan Krtička, Ph.D. (30.04.2019)
The lecture deals with basic theoretical description of various collective modes in atomic nuclei and other many body systems.
Course completion requirements - Czech
Last update: prof. RNDr. Pavel Cejnar, Dr., DSc. (07.06.2019)

Podmínkou zakončení předmětu je složení ústní zkoušky.

Literature -
Last update: prof. RNDr. Pavel Cejnar, Dr., DSc. (30.04.2019)

D.J. Rowe, J. Wood: Fundamentals of Nuclear Models, Foundational Models (World Scientific, New Jersey, 2010).

F. Iachello, A. Arima: The interacting boson model (Cambridge Univ. Press, Cambridge, 1987).

A. Frank, P. Van Isacker: Symmetry Methods in Molecules and Nuclei (S y G editores, Mexico, 2005).

L.D. Carr (editor): Understanding Quantum Phase Transitions (CRC Press, Taylor-Francis Group, Boca Raton, 2011).

Requirements to the exam -
Last update: prof. RNDr. Pavel Cejnar, Dr., DSc. (07.06.2019)

The examination is oral and may be done in the form of a seminar-like presentation. The topic may reflect specific interests of the student.

Syllabus -
Last update: prof. RNDr. Pavel Cejnar, Dr., DSc. (30.04.2019)

Phenomenological introduction: collective vibrations and rotations of atomic nuclei, nuclear giant resonances, vibrations of molecules, phonons in crystal lattices.

Theoretical introduction: SU(2) collective dynamics in a simple quasispin system.

Algebraic description of collective dynamics, spectrum generating algebras, dynamical symmetries.

Simple fermionic and bosonic systems based on algebra SU(2).

Nuclear Elliot model.

Molecular vibron models.

Nuclear interacting boson model and its generalizations.

Nuclear geometric collective model.

Nuclear cluster model.

Coherent state method.

Critical phenomena in collective dynamics.

 
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