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SPECTRAL AND SCATTERING THEORY FOR SOME ABSTRACT QFT HAMILTONIANS

- C. G'erard, A. Panati
- Mathematics
- 27 June 2008

We introduce an abstract class of bosonic QFT Hamiltonians and study their spectral and scattering theories. These Hamiltonians are of the form H = dΓ(ω) + V acting on the bosonic Fock space Γ(𝔥),… Expand

Existence and nonexistence of a ground state for the massless Nelson model under binding condition

- A. Panati
- Mathematics
- 24 September 2006

Energy Conservation, Counting Statistics, and Return to Equilibrium

- V. Jaksic, Jane Panangaden, A. Panati, C. Pillet
- Mathematics
- 30 September 2014

We study a microscopic Hamiltonian model describing an N-level quantum system $${\mathcal{S}}$$S coupled to an infinitely extended thermal reservoir $${\mathcal{R}}$$R. Initially, the system… Expand

Full statistics of energy conservation in two-time measurement protocols.

- T. Benoist, V. Jaksic, A. Panati, Y. Pautrat, C. Pillet
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 25 March 2015

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Control of Fluctuations and Heavy Tails for Heat Variation in the Two-Time Measurement Framework

- T. Benoist, A. Panati, Renaud Raqu'epas
- MathematicsAnnales Henri Poincaré
- 6 February 2018

We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the perturbation for the moments of the heat… Expand

Reflection Probabilities of One-Dimensional Schrödinger Operators and Scattering Theory

- B. Landon, A. Panati, Jane Panangaden, J. Zwicker
- Mathematics
- 28 September 2015

The dynamic reflection probability of Davies and Simon (Commun Math Phys 63(3):277–301, 1978) and the spectral reflection probability of Gesztesy et al. (Diff Integral Eqs 10(3):521–546, 1997) and… Expand

Infrared Problem for the Nelson Model on Static Space-Times

- C. Gérard, F. Hiroshima, A. Panati, A. Suzuki
- Mathematics
- 29 April 2010

We consider the Nelson model on some static space-times and investigate the problem of existence of a ground state. Nelson models with variable coefficients arise when one replaces in the usual… Expand

Heat conservation and fluctuations for open quantum systems in the Two-Time Measurement picture

- T. Benoist, A. Panati, Y. Pautrat
- Physics
- 23 October 2018

This work concerns the statistics of the Two-Time Measurement definition of heat variation in each thermal bath of a thermodynamic quantum system. We study the cumulant generating function of the… Expand

Absence of ground state for the Nelson model on static space-times

- C. G'erard, F. Hiroshima, A. Panati, A. Suzuki
- Mathematics
- 13 December 2010

Infrared Divergence of a Scalar Quantum Field Model on a Pseudo Riemannian Manifold

- C. G'erard, F. Hiroshima, A. Panati, A. Suzuki
- Physics
- 18 April 2009

A scalar quantum field model defined on a pseudo Riemannian manifold is considered. The model is unitarily transformed to the one with a variable mass. By means of a Feynman-Kac-type formula, it is… Expand

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