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- Marius M˘ Antoiu, Radu Purice, Serge Richard
- 2004

There is a connection between the Weyl pseudodifferential calculus and crossed product C *-algebras associated with certain dynamical systems. And in fact both topics are involved in the quantization of a non-relativistic particle moving in R N. Our paper studies the situation in which a variable magnetic field is also present. The Weyl calculus has to be… (More)

- Konstantin Pankrashkin, Serge Richard
- 2009

We review the spectral and the scattering theory for the Aharonov-Bohm model on R 2. New formulae for the wave operators and for the scattering operator are presented. The asymptotics at high and at low energy of the scattering operator are computed.

- Johannes Kellendonk, Serge Richard
- 2006

In this note Levinson theorems for Schrödinger operators in R n with one point interaction at 0 are derived using the concept of winding numbers. These results are based on new expressions for the associated wave operators.

- Marius M˘ Antoiu, Radu Purice, Serge Richard
- 2008

We study generalised magnetic Schrödinger operators of the form H h (A, V) = h(Π A) + V , where h is an elliptic symbol, Π A = −i∇ − A, with A a vector potential defining a variable magnetic field B, and V is a scalar potential. We are mainly interested in anisotropic functions B and V. The first step is to show that these operators are affiliated to… (More)

- Johannes Kellendonk, Serge Richard
- 2008

In the framework of one dimensional potential scattering we prove that, modulo a compact term, the wave operators can be written in terms of a universal operator and of the scattering operator. The universal operator is related to the one dimensional Hilbert transform and can be expressed as a function of the generator of dilations. As a consequence, we… (More)

- Serge Richard
- 2008

We present some improvements in the method of the weakly conjugate operator, one variant of the Mourre theory. When applied to certain two-body Schrödinger operators, this leads to a limiting absorption principle that is uniform on the positive real axis.

Armstrong, Gleitman, and Gleitman (1983) reported shorter categorization times for members of well-defined categories judged more typical. They concluded that these effects could not originate in a graded, similarity-based category representation and consequently that the typicality effects obtained with natural categories might not be indicative of such a… (More)

- Laura Brullé, Marc Vandamme, Delphine Riès, Eric Martel, Eric Robert, Stéphanie Lerondel +4 others
- PloS one
- 2012

Pancreatic tumors are the gastrointestinal cancer with the worst prognosis in humans and with a survival rate of 5% at 5 years. Nowadays, no chemotherapy has demonstrated efficacy in terms of survival for this cancer. Previous study focused on the development of a new therapy by non thermal plasma showed significant effects on tumor growth for colorectal… (More)

- Johannes Kellendonk, Serge Richard
- 2006

The material presented here covers two talks given by the authors at the conference Operator Algebras and Mathematical Physics organised in Bucharest in August 2005. The first one was a review given by J. Kellendonk on the relation between bulk and boundary topolog-ical invariants in physical systems. In the second talk S. Richard described an application… (More)

- Johannes Kellendonk, Serge Richard
- 2010

The paper is a presentation of recent investigations on potential scattering in R 3. We advocate a new formula for the wave operators and deduce the various outcomes that follow from this formula. A topological version of Levinson's theorem is proposed by interpreting it as an index theorem.