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Download fileA probabilistic representation of the ground state expectation of fractional powers of the boson number operator
journal contribution
posted on 2016-07-11, 15:33 authored by Fumio Hiroshima, Jozsef Lorinczi, Toshimitsu TakaesuWe give a formula in terms of a joint Gibbs measure on Brownian paths and
the measure of a random-time Poisson process of the ground state expectations
of fractional (in fact, any real) powers of the boson number operator in the
Nelson model. We use this representation to obtain tight two-sided bounds. As
applications, we discuss the polaron and translation invariant Nelson models.
History
School
- Science
Department
- Mathematical Sciences
Published in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSVolume
395Issue
2Pages
437 - 447 (11)Citation
HIROSHIMA, F., LORINCZI, J. and TAKAESU, T., 2012. A probabilistic representation of the ground state expectation of fractional powers of the boson number operator. Journal of Mathematical Analysis and Applications, 395 (2), pp.437-447Publisher
© Elsevier Inc.Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2012ISSN
0022-247XPublisher version
Language
- en