All Stories

  1. Matrix Representation of Magnetic Pseudo-Differential Operators via Tight Gabor Frames

    Article • Journal of Fourier Analysis and Applications, April 2024, Springer Science + Business Media

    Radu Purice

  2. Sharp spectral stability for a class of singularly perturbed pseudo-differential operators

    Article • Journal of Spectral Theory, November 2023, European Mathematical Publishing House

    Radu Purice

  3. Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field

    Article • Transactions of the American Mathematical Society, July 2021, American Mathematical Society (AMS)

    Radu Purice

  4. Peierls' substitution for low lying spectral energy windows

    Article • Journal of Spectral Theory, March 2019, European Mathematical Publishing House

    Radu Purice

  5. Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus

    Article • Reviews in Mathematical Physics, March 2019, World Scientific Pub Co Pte Lt

    Radu Purice

  6. A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames

    Article • Communications in Partial Differential Equations, November 2018, Taylor & Francis

    Radu Purice

  7. A Schatten–von Neumann class criterion for the magnetic Weyl calculus

    Article • Communications in Partial Differential Equations, September 2018, Taylor & Francis

    Radu Purice, PhD Nassim ATHMOUNI

  8. Low lying spectral gaps induced by slowly varying magnetic fields

    Article • Journal of Functional Analysis, July 2017, Elsevier

    Radu Purice

  9. The Peierls–Onsager effective Hamiltonian in a complete gauge covariant setting: determining the spectrum

    Article • Journal of Spectral Theory, August 2015, European Mathematical Publishing House

    Radu Purice

  10. Spectral edge regularity of magnetic Hamiltonians

    Article • Journal of the London Mathematical Society, June 2015, Wiley

    Radu Purice

  11. On Fréchet–Hilbert algebras

    Article • Archiv der Mathematik, August 2014, Springer Science + Business Media

    Radu Purice

  12. Quantization in a Magnetic Field

    Article • September 2012, Springer Science + Business Media

    Radu Purice

  13. Abstract composition laws and their modulation spaces

    Article • Journal of Pseudo-Differential Operators and Applications, March 2012, Springer Science + Business Media

    Radu Purice

  14. On the Regularity of the Hausdorff Distance Between Spectra of Perturbed Magnetic Hamiltonians

    Article • January 2012, Springer Science + Business Media

    Radu Purice

  15. Adiabatic Non-Equilibrium Steady States in the Partition Free Approach

    Article • Annales Henri Poincaré, November 2011, Springer Science + Business Media

    Radu Purice

  16. Positive quantization in the presence of a variable magnetic field

    Article • Journal of Mathematical Physics, November 2011, American Institute of Physics

    Radu Purice

  17. Eigenfunctions decay for magnetic pseudodifferential operators

    Article • Journal of Mathematical Physics, September 2011, American Institute of Physics

    Radu Purice

  18. Magnetic Fourier integral operators

    Article • Journal of Pseudo-Differential Operators and Applications, March 2011, Springer Science + Business Media

    Radu Purice

  19. COHERENT STATES AND PURE STATE QUANTIZATION IN THE PRESENCE OF A VARIABLE MAGNETIC FIELD

    Article • International Journal of Geometric Methods in Modern Physics, February 2011, World Scientific Pub Co Pte Lt

    Radu Purice

  20. Magnetic calculus and semiclassical trace formulas

    Article • Journal of Physics A Mathematical and Theoretical, November 2010, Institute of Physics Publishing

    Radu Purice

  21. On the continuity of spectra for families of magnetic pseudodifferential operators

    Article • Journal of Mathematical Physics, August 2010, American Institute of Physics

    Radu Purice

  22. The modulation mapping for magnetic symbols and operators

    Article • Proceedings of the American Mathematical Society, August 2010, American Mathematical Society (AMS)

    Radu Purice

  23. Commutator Criteria for Magnetic Pseudodifferential Operators

    Article • Communications in Partial Differential Equations, May 2010, Taylor & Francis

    Radu Purice

  24. Unicity of the Integrated Density of States for Relativistic Schrödinger Operators with Regular Magnetic Fields and Singular Electric Potentials

    Article • Integral Equations and Operator Theory, March 2010, Springer Science + Business Media

    Radu Purice

  25. Adiabatically switched-on electrical bias and the Landauer–Büttiker formula

    Article • Journal of Mathematical Physics, October 2008, American Institute of Physics

    Radu Purice

  26. Magnetic Pseudodifferential Operators

    Article • Publications of the Research Institute for Mathematical Sciences, September 2007, European Mathematical Publishing House

    Radu Purice

  27. Spectral and propagation results for magnetic Schrödinger operators; A C∗-algebraic framework

    Article • Journal of Functional Analysis, September 2007, Elsevier

    Radu Purice

  28. Hardy type inequalities with exponential weights for a class of convolution operators

    Article • Arkiv för matematik, April 2007, International Press of Boston

    Radu Purice

  29. On the essential spectrum of magnetic pseudodifferential operators

    Article • Comptes Rendus Mathématique, December 2006, Cellule MathDoc/CEDRAM

    Radu Purice

  30. The Mathematical Formalism of a Particle in a Magnetic Field

    Article • January 2006, Springer Science + Business Media

    Radu Purice

  31. Strict deformation quantization for a particle in a magnetic field

    Article • Journal of Mathematical Physics, April 2005, American Institute of Physics

    Radu Purice

  32. The magnetic Weyl calculus

    Article • Journal of Mathematical Physics, April 2004, American Institute of Physics

    Radu Purice

  33. Propagation Properties for Schrödinger Operators Affiliated with Certain C*-Algebras

    Article • Annales Henri Poincaré, December 2002, Springer Science + Business Media

    Radu Purice

  34. A Hardy type estimate with exponential weights

    Article • Comptes Rendus Mathématique, November 2002, Cellule MathDoc/CEDRAM

    Radu Purice

  35. A-Priori Decay for Eigenfunction of Perturbed Periodic Schrödinger Operators

    Article • Annales Henri Poincaré, June 2001, Springer Science + Business Media

    Radu Purice

  36. Hardy Type Inequalities, Mourre Estimate and A-priori Decay for Eigenfunctions

    Article • January 2001, Springer Science + Business Media

    Radu Purice

  37. Weighted Estimations from a Conjugate Operator

    Article • Letters in Mathematical Physics, January 2000, Springer Science + Business Media

    Radu Purice

  38. Some Propagation Properties of the Iwatsuka Model

    Article • Communications in Mathematical Physics, October 1997, Springer Science + Business Media

    Radu Purice

  39. One dimensional periodic Dirac Hamiltonians: Semiclassical and high-energy asymptotics for gaps

    Article • Journal of Mathematical Physics, July 1996, American Institute of Physics

    Radu Purice

  40. Hamiltoniens �N corps avec champs magn�tiques tr�s singuliers du type ?courte port�e?

    Article • Letters in Mathematical Physics, February 1995, Springer Science + Business Media

    Radu Purice

  41. A distinguished self-adjoint extension for the Dirac operator with strong local singularities and arbitrary behaviour at infinity

    Article • Reports on Mathematical Physics, December 1994, Elsevier

    Radu Purice

  42. Limiting absorption principle for schrödinger hamiltonians with magnetic fields

    Article • Communications in Partial Differential Equations, January 1994, Taylor & Francis

    Radu Purice

  43. A boundary value problem related to the Ginzburg-Landau model

    Article • Communications in Mathematical Physics, November 1991, Springer Science + Business Media

    Radu Purice

  44. The commutator method for form-relatively compact perturbations

    Article • Letters in Mathematical Physics, July 1991, Springer Science + Business Media

    Radu Purice

  45. On the markoff property for the free Euclidean electromagnetic field

    Article • Letters in Mathematical Physics, September 1982, Springer Science + Business Media

    Radu Purice