Radu Purice

Address:

Institute of Mathematics of the Romanian Academy,
Calea Grivitei 21, 010702 Bucharest, Romania
Mail Address: P.O. Box 1-764, Bucuresti, ROMANIA
Tel.: +4021-319.65.09
fax: +4021-319.65.05
E-mail: Radu dot Purice at imar dot ro

Academic Degree:

Ph.D. in Physics (1990)

Current Position:

Senior Researcher and Scientific Secretary, Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucuresti

Workgroup:

Evolution Equations and Control Theory, Partial Differential Equations and Mathematical Physics

Prizes:

"Gheorghe Titeica" Prize of the Romanian Academy 2002

Field of Activity:

Mathematical Physics - quantum mechanics.

Co-director

of the CNRS European Associated Laboratory "LEA Mathématique et Modélisation Franco-Roumain"

Member

in the IUPAP Commission C18 (on Mathematical Physics)

of the IAMP

in the Romanian Team of the RTN "Network in Noncommutative Geometry"

Coordinator of the European Programme EURROMMAT

Coordinator of the Romanian team of the Euro-DGR "Mathematics and Quantum Physics"

Member in the Management Team of the POS DRU Programme of postdoctoral research: Cercetarea Stiintifica economica, suport al bunastarii si dezvoltarii umane în context european

Coordinator of the National CEx Programme Deterministic and Stochastic Differential Methods in the Study of Certain Evolution Models (MDDS)

Member of the IMAR research team on the CNCSIS PCCE Contract Nr. 8/2010 Sisteme diferentiale in analiza neliniara si aplicatii.

Coorganizer of

The LEA Math-Mode Workshop , Bucuresti, 2011

7-th Congress of Romanian Mathematicians , Brasov, 2011

4-th annual meeting of the EU-NCG Network , Bucuresti, 2011

Workshop in Nonlinear Analysis and Mathematical Physics - Romanian - German Symposium on Mathematics and its Applications , Sibiu, May 2009

Qmath10 International Conference , Moeciu, 2007

Workshop on Aspects mathématiques du transport dans les systèmes mésoscopiques, Marseille, December 2006

Research activity:

• study of some models in field theory: Markoff property for the Free Euclidean Electromagnetic Field; solutions to the Ghinzburg- Landau equations in a two-dimensional bounded domain

• study of the Dirac Hamiltonian: nonrelativistic limit; time - dependent perturbations; singular perturbations; scattering theory

• the Dirac Hamiltonian with time dependent perturbations

Current interest in:

• spectral analysis and propagation estimations for quantum Hamiltonians

• the conjugate operator method and its applications in spectral theory and evolution properties

• weighted estimations of Hardy type for quantum Hamiltonians

• operator algebra methods in spectral theory and dynamics of quantum systems

• non-equilibrium steady states and transport theory

• functional calculus for quantum observables in a magnetic field

Recent Papers:

• Marius Mantoiu, Radu Purice, Serge Richard: Positive Quantization in the Presence of a Variable Magnetic Field .pdf

• Viorel Iftimie, Radu Purice: Magnetic Fourier Integral Operators .pdf

• Bernard Helffer, Radu Purice: Magnetic calculus and semiclassical trace formulas .pdf

• Horia Cornean, Pierre Duclos, Radu Purice: Adiabatic non-equilibrium steady states in the partition free approach .pdf

• Viorel Iftimie, Radu Purice: Eigenfunctions decay for magnetic pseudodifferential operators .pdf

• Nassim Athmouni, Marius Mantoiu, Radu Purice: On the continuity of spectra for families of magnetic pseudodifferential operators .pdf

• Marius Mantoiu, Radu Purice, Serge Richard: Coherent states in the presence of a variable magnetic field .pdf

• Marius Mantoiu, Radu Purice: The Modulation Mapping for Magnetic Symbols and Operators .pdf

• Viorel Iftimie, Marius Mantoiu, Radu Purice: Unicity of the integrated density of states for relativistic Schroedinger operators with regular fields and singular electric potentials .pdf

• Viorel Iftimie, Marius Mantoiu, Radu Purice: The magnetic formalism; new results .pdf

• Viorel Iftimie, Marius Mantoiu, Radu Purice: Commutator Criteria for Magnetic Pseudodifferential Operators .pdf

• Viorel Iftimie, Marius Mantoiu, Radu Purice: Estimating the number of negative eigenvalues of a relativistic Hamiltonian with regular magnetic field .pdf

• Horia Cornean, Pierre Duclos, Gheorghe Nenciu, Radu Purice: Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Buttiker formula .pdf

• Viorel Iftimie, Marius Mantoiu, Radu Purice: Magnetic Pseudodifferential Operators .pdf

• Marius Mantoiu, Radu Purice: The Mathematical Formalism of a Particle in a Magnetic Field .pdf

• Marius Mantoiu, Radu Purice, Serge Richard: Spectral and Propagation Results for Magnetic Schroedinger Operators; a C*-Algebraic Framework .pdf

• Marius Mantoiu, Radu Purice: Strict Deformation Quantization for a Particle in a Variable Magnetic Field .pdf; Abstract

• Marius Mantoiu, Radu Purice, Serge Richard: Twisted Crossed Products and Magnetic Pseudodifferential Operators .pdf

• Marius Mantoiu, Radu Purice: The Magnetic Weyl Calculus .pdf; Abstract

• Marius Mantoiu, Radu Purice: The Algebra of Observables in a Magnetic Field .pdf

• W.O. Amrein, M. Mantoiu, R. Purice:Propagation Properties for Schroedinger Operators Affiliated to Certain C*-Algebras .pdf; Abstract

Some Recent Talks:

• Decay of Eigenfunctions of Magnetic Hamiltonians. (7-th Workshop Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems, WIAS Berlin, February 04-05, 2011 ).pdf

• A Non Equilibrium Steady State as an Adiabatic Limit. (10-ème Colloque Franco - Roumain de Mathématiques Appliquées, Poitiers, 26 - 31 Aoû 2010).pdf

• The algebra of quantum observables in a magnetic field: Spectral continuity with respect to the magnetic field. (Workshop Spectral Problems for Quantum Hamiltonians, Centre Interfacultaire Bernoulli, EPF Lausanne, February 2010).pdf

Publications:

List of published papers

List of edited volumes
Reviewed in Mathematical Reviews