Theoretical study of excitations in interacting Bose and Fermi systems (Record no. 48800)

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fixed length control field 02081nam a2200265Ia 4500
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080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number UNM
Item number TH-77
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Ghosh, Tarun Kanti
Relator term author
245 ## - TITLE STATEMENT
Title Theoretical study of excitations in interacting Bose and Fermi systems
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2002
300 ## - PHYSICAL DESCRIPTION
Number of Pages xii; 112p.
502 ## - DISSERTATION NOTE
Dissertation note 2002
502 ## - DISSERTATION NOTE
Degree Type Ph.D
502 ## - DISSERTATION NOTE
Name of granting institution University of Madras
520 3# - SUMMARY, ETC.
Summary, etc This thesis is devoted to theoretical study of various aspects of low energy collective excitations in a trapped interacting alkali-metal atomic gases (Bose and Fermi) and of fractional quantum hall systems. An equation of motion for velocity fluctuations of a two-dimensional deformed trapped Bose gas just above the critical temperature in the hydrodynamical regime is derived. From this equation, the eigenfrequencies and corresponding density fluctuations for a few lo-lying excitation modes are calculated. The method of averages are used to derive a dispersion relation in a deformed trap at very high temperature that interpolates between the collisionless and hydrodynamic regimes. The frequencies and the damping rates for monopole and quadrupole modes in both the regimes, are calculated using this dispersion relation. It is shown that the time evolution of the wave packet width of a Bose gas in a time-independent as well as time-dependent trap can be obtained from the method of averages. A general dispersion relation of monopole and two quadrupole excitations of a two dimensional deformed trapped interacting quantum gas. Also analytical expressions for monopole and two quadrupole mode frequencies of a two-dimensional unpolarized Fermi gas in an anisotropic trap, derived using this general dispersion relation.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Bose-Einstein Condensates
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Low-Energy Excitations
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Uncontrolled term Quantum Hall System
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Quantum Systems
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN)
Topical term or geographic name as entry element Others
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Baskaran, G.
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/103
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Uniform Resource Identifier Koha item type
        IMSc Library UNM TH-77 http://www.imsc.res.in/xmlui/handle/123456789/103 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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