Functional integral and stochastic representations for ensembles of identical bosons on a lattice
Regularized coherent-state functional integrals are derived for ensembles of identical bosons on a lattice, the regularization being a discretization of Euclidian time. Convergence of the time-continuum limit is proven for various discretized actions. The focus is on the integral representation for...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
11 March 2021
|
| In: |
Communications in mathematical physics
Year: 2021, Volume: 385, Issue: 2, Pages: 1163-1211 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-021-04010-4 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00220-021-04010-4
|
| Author Notes: | Manfred Salmhofer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1817260553 | ||
| 003 | DE-627 | ||
| 005 | 20230317084710.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220922s2021 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00220-021-04010-4 |2 doi | |
| 035 | |a (DE-627)1817260553 | ||
| 035 | |a (DE-599)KXP1817260553 | ||
| 035 | |a (OCoLC)1361714245 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Salmhofer, Manfred |d 1964- |e VerfasserIn |0 (DE-588)12037868X |0 (DE-627)080636934 |0 (DE-576)179574744 |4 aut | |
| 245 | 1 | 0 | |a Functional integral and stochastic representations for ensembles of identical bosons on a lattice |c Manfred Salmhofer |
| 264 | 1 | |c 11 March 2021 | |
| 300 | |a 49 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 22.09.2022 | ||
| 520 | |a Regularized coherent-state functional integrals are derived for ensembles of identical bosons on a lattice, the regularization being a discretization of Euclidian time. Convergence of the time-continuum limit is proven for various discretized actions. The focus is on the integral representation for the partition function and expectation values in the canonical ensemble. The connection to the grand-canonical integral is exhibited and some important differences are discussed. Uniform bounds for covariances are proven, which simplify the analysis of the time-continuum limit and can also be used to analyze the thermodynamic limit. The relation to a stochastic representation by an ensemble of interacting random walks is made explicit, and its modifications in presence of a condensate are discussed. | ||
| 773 | 0 | 8 | |i Enthalten in |t Communications in mathematical physics |d Berlin : Springer, 1965 |g 385(2021), 2, Seite 1163-1211 |h Online-Ressource |w (DE-627)253721628 |w (DE-600)1458931-X |w (DE-576)072372184 |x 1432-0916 |7 nnas |a Functional integral and stochastic representations for ensembles of identical bosons on a lattice |
| 773 | 1 | 8 | |g volume:385 |g year:2021 |g number:2 |g pages:1163-1211 |g extent:49 |a Functional integral and stochastic representations for ensembles of identical bosons on a lattice |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00220-021-04010-4 |x Verlag |x Resolving-System |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220922 | ||
| 993 | |a Article | ||
| 994 | |a 2021 | ||
| 998 | |g 12037868X |a Salmhofer, Manfred |m 12037868X:Salmhofer, Manfred |d 130000 |d 130300 |d 700000 |d 728500 |e 130000PS12037868X |e 130300PS12037868X |e 700000PS12037868X |e 728500PS12037868X |k 0/130000/ |k 1/130000/130300/ |k 0/700000/ |k 1/700000/728500/ |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1817260553 |e 4190803588 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"title":"Functional integral and stochastic representations for ensembles of identical bosons on a lattice","title_sort":"Functional integral and stochastic representations for ensembles of identical bosons on a lattice"}],"person":[{"given":"Manfred","family":"Salmhofer","role":"aut","display":"Salmhofer, Manfred","roleDisplay":"VerfasserIn"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 22.09.2022"],"language":["eng"],"recId":"1817260553","origin":[{"dateIssuedDisp":"11 March 2021","dateIssuedKey":"2021"}],"id":{"doi":["10.1007/s00220-021-04010-4"],"eki":["1817260553"]},"name":{"displayForm":["Manfred Salmhofer"]},"physDesc":[{"extent":"49 S."}],"relHost":[{"title":[{"title":"Communications in mathematical physics","title_sort":"Communications in mathematical physics"}],"part":{"issue":"2","pages":"1163-1211","year":"2021","extent":"49","text":"385(2021), 2, Seite 1163-1211","volume":"385"},"titleAlt":[{"title":"Mathematical physics"}],"pubHistory":["1.1965 -"],"language":["eng"],"recId":"253721628","type":{"media":"Online-Ressource","bibl":"periodical"},"disp":"Functional integral and stochastic representations for ensembles of identical bosons on a latticeCommunications in mathematical physics","note":["Gesehen am 18.04.08"],"id":{"eki":["253721628"],"zdb":["1458931-X"],"issn":["1432-0916"]},"origin":[{"publisherPlace":"Berlin ; Heidelberg","dateIssuedKey":"1965","publisher":"Springer","dateIssuedDisp":"1965-"}],"physDesc":[{"extent":"Online-Ressource"}]}]} | ||
| SRT | |a SALMHOFERMFUNCTIONAL1120 | ||