Results 1  10
of
28
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
, 2004
"... ..."
Risk communication
 Proceedings of the national conference on risk communication, Conservation Foundation,Washington, DC
, 1987
"... We consider Schrodinger semigroups e. IH, H =A+V on Iw ” with VcIxl ’ as 1x1rco, O<c<[(l/2)(n2)] * with H>O. We determine the exact power law divergence of I~e‘Hi~p,p and of some IIe‘Hlly,p as maps from Lp to Lq. The results are expressed most naturally in terms of the power a fo ..."
Abstract

Cited by 31 (1 self)
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We consider Schrodinger semigroups e. IH, H =A+V on Iw ” with VcIxl ’ as 1x1rco, O<c<[(l/2)(n2)] * with H>O. We determine the exact power law divergence of I~e‘Hi~p,p and of some IIe‘Hlly,p as maps from Lp to Lq. The results are expressed most naturally in terms of the power a for which there exists a positive resonance 9 such that Hq = 0, q(x) 1.x‘.:Ta 1991 Academic Press, Inc. 1.
An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroup
, 2001
"... ..."
Nelson's symmetry and the infinite volume behavior of the vacuum in P($)z
 Comm. Math. Phys
, 1972
"... theory with sharp space cutoff in the ..."
Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space
 J. Funct. Anal
, 2003
"... We study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. The Schrödinger operator is a perturbation of the second quantization operator of an unbounded selfadjoint operator by a C3potential function. This result is an extension of [1]. 1 ..."
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Cited by 5 (4 self)
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We study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. The Schrödinger operator is a perturbation of the second quantization operator of an unbounded selfadjoint operator by a C3potential function. This result is an extension of [1]. 1
On the spectral analysis of quantum electrodynamics with spatial cutoffs
 I., J. Math. Phys
, 2009
"... Abstract. In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is selfadjoint; (2) under the infrared regularity condition, the Hamiltonian has a unique ground state for sufficiently small values of coupling const ..."
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Cited by 4 (1 self)
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Abstract. In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is selfadjoint; (2) under the infrared regularity condition, the Hamiltonian has a unique ground state for sufficiently small values of coupling constants. The spectral scattering theory is studied as well and it is shown that asymptotic fields exist and the spectral gap is closed. 1
Thermal Quantum Fields without Cutoffs . . .
, 2004
"... We construct interacting quantum fields in 1+1 dimensional Minkowski space, representing neutral scalar bosons at positive temperature. Our work is based on prior work by Klein and Landau and HøeghKrohn. ..."
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Cited by 2 (0 self)
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We construct interacting quantum fields in 1+1 dimensional Minkowski space, representing neutral scalar bosons at positive temperature. Our work is based on prior work by Klein and Landau and HøeghKrohn.
SPECTRAL AND SCATTERING THEORY OF SPACECUTOFF CHARGED P(ϕ)2 MODELS
, 2009
"... We consider in this paper spacecutoff charged P(ϕ)2 models arising from the quantization of the nonlinear charged KleinGordon equation: (∂t + iV (x)) 2 φ(t, x) + (−∆x + m 2)φ(t, x) + g(x)∂zP(φ(t, x), φ(t, x)) = 0, where V (x) is an electrostatic potential, g(x) ≥ 0 a spacecutoff and P(λ, λ) ..."
Abstract

Cited by 2 (1 self)
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We consider in this paper spacecutoff charged P(ϕ)2 models arising from the quantization of the nonlinear charged KleinGordon equation: (∂t + iV (x)) 2 φ(t, x) + (−∆x + m 2)φ(t, x) + g(x)∂zP(φ(t, x), φ(t, x)) = 0, where V (x) is an electrostatic potential, g(x) ≥ 0 a spacecutoff and P(λ, λ) a real bounded below polynomial. We discuss various ways to quantize this equation, starting from different CCR representations. After describing the construction of the interacting Hamiltonian H we study its spectral and scattering theory. We describe the essential spectrum of H, prove the existence of asymptotic fields and of wave operators, and finally prove the asymptotic completeness of wave operators. These results are similar to the case when V = 0.