Browsing by Author "Purice, Radu"

Now showing items 1-5 of 5

    • Coherent states in the presence of a variable magnetic field 
      Mantoiu, Marius; Purice, Radu; Richard, Serge (WORLD SCIENTIFIC PUBL CO PTE LTD, 2011-02)
      We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space R(2N) endowed with a magnetic symplectic form.
    • Commutator Criteria for Magnetic Pseudodifferential Operators 
      Iftimie, Viorel; Mǎntoiu, Marius; Purice, Radu (2009-03-12)
      The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove criteria in terms of commutators for operators to be magnetic pseudodifferential operators of suitable symbol classes. ...
    • Estimating the number of negative eigenvalues of a relativistic Hamiltonian with regular magnetic field 
      Iftimie, Viorel; Mantoiu, Marius; Purice, Radu (Institute of Mathematics ``Simion Stoilow'' of the Romanian Academy, 2008-01-02)
      We prove the analog of the Cwickel-Lieb-Rosenblum estimation for the number of negative eigenvalues of a relativistic Hamiltonian with magnetic field B 2 C1 pol(Rd) and an electric potential V 2 L1 loc(Rd), V− 2 ...
    • On the continuity of spectra for families of magnetic pseudodifferential operators 
      Athmouni, Nassim; Mantoiu, Marius; Purice, Radu (AMER INST PHYSICS, CIRCULATION & FULFILLMENT DIV, 2010-08)
      For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter epsilon, we show that the corresponding family of spectra also varies continuously ...
    • THE MODULATION MAPPING FOR MAGNETIC SYMBOLS AND OPERATORS 
      Mantoiu, Marius; Purice, Radu (AMER MATHEMATICAL SOC, 2010-04-02)
      We extend the Bargmann transform to the magnetic pseudodifferential calculus, using gauge-covariant families of coherent states. We also introduce modulation mappings, a first step towards adapting modulation spaces to ...