Harmonically Trapped Bosons on the Sierpiński Carpet

• Authors: A. Rovenchak
• Languages of publication: EN

Abstracts

EN

An ideal Bose-gas confined in a harmonic potential is studied. The thermodynamic properties of the said system are obtained in a general case of D dimensions, where D can be fractional (this corresponds to, e.g., porous medium). For the critical temperature, expansions with respect to the number of particles in the system are obtained. Numerical study is made for D = ln8/ln3 corresponding to the dimensionality of the so-called Sierpiński carpet.

Keywords

EN

05.30.Jp; 67.85.-d; 64.60.an

Discipline

• 05.30.Jp: Boson systems(for static and dynamic properties of Bose-Einstein condensates, see 03.75.Hh and 03.75.Kk; see also 67.10.Ba Boson degeneracy in quantum fluids)
• 64.60.an: Finite-size systems
• 67.85.-d: Ultracold gases, trapped gases(see also 03.75.-b Matter waves in quantum mechanics)

• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 4
• Pages: 531-533

Dates

published

2010-10

received

2010-02-11

(unknown)

2010-05-26

(unknown)

2010-06-02

Contributors

author

A. Rovenchak

• Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., UA-79005, Lviv, Ukraine

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Identifiers

DOI

10.12693/APhysPolA.118.531