Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities

Eric Carlen, Elliott H. Lieb

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

Optimal hypercontractivity bounds for the fermion oscillator semigroup are obtained. These are the fermion analogs of the optimal hypercontractivity bounds for the boson oscillator semigroup obtained by Nelson. In the process, several results of independent interest in the theory of non-commutative integration are established.

Original languageEnglish (US)
Pages (from-to)27-46
Number of pages20
JournalCommunications In Mathematical Physics
Volume155
Issue number1
DOIs
StatePublished - Jul 1 1993

Fingerprint

Hypercontractivity
Fermions
Semigroup
fermions
oscillators
Bosons
bosons
analogs
Analogue

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities. / Carlen, Eric; Lieb, Elliott H.

In: Communications In Mathematical Physics, Vol. 155, No. 1, 01.07.1993, p. 27-46.

Research output: Contribution to journalArticle

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