STUDY OF THE PROPETIES OF SOME QUANTUM SYSTEMS BY DEVELOPING TECHIS FROM FUNCTIONAL ANALYSIS AND PSEUDODIFFERENTIAL OPERATORS
DIRECTOR of the PROJECT
ALLOCATED VALUE (USD)
NENCIU GHEORGHE
25000
Description of the project: WE AIM TO OBTAIN AN EFFICIENT FRAMEWORK FOR RESEARCH IN MATHEMATICAL PHYSICS AND TO DEVELOP THE COOPERATION WITH EUROPEAN TEAMS IN THE FIELD. OUR MAIN SCIENTIFIC SUBJECTS ARE: 1. SPECTRAL PROPERTIES OF SCHRODINGER AND DIRAC OPERATORS WITH MAGNETIC FIELDS AND/OR PERIODIC POTENTIALS. 2. CONJUGATE OPERATOR METHOD FOR EVOLUTION PROPERTIES OF SOME SPECIAL SYSTEMS. 3. THE QUANTUM DIRAC FIELD IN THE CLASSICAL EXTERNAL FIELD APPROXIMATION