List of publications
- List of
publications
- Ma page sur ResearchGate
Some recent papers
- Long-range scattering in the position
representation, J. Math. Phys. 38 (8) (1997) p 3925-3942, with J.
Derezi'nski.
- Scattering
theory for pertubations of periodic Sch\"{o}dinger operators, J. Math.
Kyoto Univ. 38 (1) (1998) p 595-634, with F. Nier.
- Asymptotic
Completeness in Quantum Field Theory: massive Pauli-Fierz Hamiltonians,
in Rev. Math. Phys. 11 (4) (1999) p 383-450, with J. Derezinski
- On the Virial Theorem
in Quantum Mechanics, Comm. Math. Phys. 208 (1999) p 275-281, with V.
Georgescu.
- Spectral and
scattering theory of spatially cut-off $P(\varphi)_{2}$ Hamiltonians,
Comm. Math. Phys. 213 (2000), no. 1, p 39-125, with J. Derezinski.
- On the existence of
ground states for massless Pauli-Fierz
Hamiltonians. Ann. Henri Poincaré 1 (2000), no. 3, p 443-45.
- On the scattering theory of
massless
Nelson models, Rev. Math. Phys.
14 (11) (2002) p 1165-1280.
- Scattering theory
of
infrared divergent Pauli-Fierz
Hamiltonians, Annales Henri Poincaré, 5
(2004), no. 3, p 523-578, with J. Derezinski.
- Commutators,
$C_{0}-$semigroups and resolvent estimates, with V.
Georgescu et J. Moeller, Journal of Functional
Analysis 216 (2) (2004) p 303-361.
- Spectral
theory of massless Nelson models, with V.
Georgescu et J. Moeller, Comm. Math. Phys. 249 (2004) no. 1, p
29-78.
- Thermal Quantum Fields
with Spatially Cut-off Interactions in 1+1 Space-time Dimensions, with
C. Jaekel, Journal of Functional Analysis, 220 (2005) 157-213.
- Thermal Quantum
Fields without Cut-offs in 1+1 Space-time Dimensions, with C. Jaekel,
Rev.
in Math. Phys. 17 (2005) 113-173.
- On the relativistic
KMS condition for the P(φ)_2model, with C. Jaekel (2005).
- An overview of
N-body quantum scattering and quantum
resonances, in Spectral Theory
and Mathematical Physics: A
Festschrift in Honor of Barry Simon's 60th Birthday,Proceedings
of
Symposia in Pure Mathematics Vol. 76, (2006).
- Generalized
definition of time delay in scattering
theory, with Rafael Tiedra de Aldecoa, J. Math. Phys. 48, (2007) p
1221-1233.
- A proof of the
abstract limiting absorption principle
by energy estimates
J. Funct. Anal.
254
(2008) 2070-2704
- Spectral and
scattering theory for abstract QFT
Hamiltonians, with Annalisa Panati, Reviews in
Mathematical Physics, 21 (2009) p 373-437.
- On the
space-cutoff $P(\varphi)_{2}$ with variable
metric, with Annalisa Panati, Annales Henri Poincaré 9 (2008) p 1575-1629.
- On resonance free
domains for semiclassical Schroedinger operators, unpublished
- Spectral and scattering theory of space-cutoff charged $P(\varphi)_{2}$
models, preprint ArXiV 0906.5478
- Positive energy quantization of
linear dynamics, with Jan Derezinski, talk given at Bedelwo conference
2008, preprint ArXiv 0906.5479
- Infrared
Divergence of a Scalar Quantum Field Model on a Pseudo Riemannian
Manifold, with Fumio Hiroshima, Annalisa Panati and Akito Suzuki,
Interdisciplinary Information Sciences Vol. 15, No. 3 (2009) 399-421
- Infrared
and ultraviolet problem for the Nelson model with variable
coefficients, with Fumio Hiroshima, Annalisa Panati and Akito Suzuki,
Preprint 2010
Some errata