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Semi-analytic calculation of the shift in the critical temperature for bose-einstein condensation

Radescu, Eugeniu
http://rave.ohiolink.edu/etdc/view?acc_num=osu1090269112

Abstract Details

2004, Doctor of Philosophy, Ohio State University, Physics.
The leading correction from interactions to the transition temperature Tc for Bose-Einstein condensation can be obtained from a nonperturbative calculation in the critical O(N) scalar field theory in 3 dimensions with N=2. We show that the linear delta expansion can be applied to this problem in such a way that in the large-N limit it converges to the exact analytic result. If the principal of minimal sensitivity is used to optimize the convergence rate, the errors seem to decrease exponentially with the order in the delta expansion. For N=2, we calculate the shift in Tc to fifth order in delta. The results are consistent with slow convergence to the results of recent lattice Monte Carlo calculations. The convergence can be accelerated by using a resummation method proposed by Kleinert et al. called variational perturbation theory.
Eric Braaten (Advisor)
Bose-Einstein condensation; critical temperature; perturbation theory; resummation

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Citations

  • Radescu, E. (2004). Semi-analytic calculation of the shift in the critical temperature for bose-einstein condensation [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1090269112

    APA Style (7th edition)

  • Radescu, Eugeniu. Semi-analytic calculation of the shift in the critical temperature for bose-einstein condensation. 2004. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1090269112.

    MLA Style (8th edition)

  • Radescu, Eugeniu. "Semi-analytic calculation of the shift in the critical temperature for bose-einstein condensation." Doctoral dissertation, Ohio State University, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=osu1090269112

    Chicago Manual of Style (17th edition)

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© 2004, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.