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Details of Grant 

EPSRC Reference: EP/E04834X/1
Title: Spectral Analysis of relativistic operators
Principal Investigator: Evans, Professor WD
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Sch of Mathematics
Organisation: Cardiff University
Scheme: Standard Research
Starts: 07 April 2007 Ends: 06 July 2007 Value (£): 3,815
EPSRC Research Topic Classifications:
Mathematical Analysis Mathematical Physics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The existence, or non-existence, of zero modes and resonances have profound implications for the stability of quantum mechanical systems described by the associated differential operators. For instance, the stability of matter problem concerns the question of whether the energy of the system of particles is bounded from below, and explains why some molecules exist and other configuration of particles do not. The proposal is to study such questions for a wide class of operators which includes the important standard ones of mathematical physics.
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Organisation Website: http://www.cf.ac.uk