Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials

Fumio Hiroshima

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Pointwise exponential decay of bound states of the so-called Nelson model with Kato-class potentials is shown by constructing a martingale derived from the semigroup generated by the Nelson Hamiltonian.

Original languageEnglish
Title of host publicationSpringer Optimization and Its Applications
PublisherSpringer International Publishing
Pages225-250
Number of pages26
DOIs
Publication statusPublished - Jan 1 2019

Publication series

NameSpringer Optimization and Its Applications
Volume146
ISSN (Print)1931-6828
ISSN (Electronic)1931-6836

Fingerprint

Kato Class
Exponential Decay
Bound States
Martingale
Semigroup
Model

All Science Journal Classification (ASJC) codes

  • Control and Optimization

Cite this

Hiroshima, F. (2019). Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials. In Springer Optimization and Its Applications (pp. 225-250). (Springer Optimization and Its Applications; Vol. 146). Springer International Publishing. https://doi.org/10.1007/978-3-030-12661-2_11

Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials. / Hiroshima, Fumio.

Springer Optimization and Its Applications. Springer International Publishing, 2019. p. 225-250 (Springer Optimization and Its Applications; Vol. 146).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Hiroshima, F 2019, Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials. in Springer Optimization and Its Applications. Springer Optimization and Its Applications, vol. 146, Springer International Publishing, pp. 225-250. https://doi.org/10.1007/978-3-030-12661-2_11
Hiroshima F. Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials. In Springer Optimization and Its Applications. Springer International Publishing. 2019. p. 225-250. (Springer Optimization and Its Applications). https://doi.org/10.1007/978-3-030-12661-2_11
Hiroshima, Fumio. / Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials. Springer Optimization and Its Applications. Springer International Publishing, 2019. pp. 225-250 (Springer Optimization and Its Applications).
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