Details of Grant 

EPSRC Reference:	GR/T06872/01
Title:	Semiclassical theories of quantum fluctuation statistics
Principal Investigator:	Sieber, Dr MMA
Other Investigators:	Keating, Professor J Anderson, Mrs TA
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	University of Bristol
Scheme:	Standard Research (Pre-FEC)
Starts:	25 January 2005	Ends:	24 March 2006	Value (£):	95,906
EPSRC Research Topic Classifications:	Mathematical Physics
EPSRC Industrial Sector Classifications:	Electronics
Related Grants:
Panel History:
Summary on Grant Application Form
One of the central objectives in quantum chaos is to understand the universal behaviour that is observed in a wide range of quantum or wave systems such as atoms, molecules, quantum dots or microwave cavities. For example, it has been found that completely different quantum systems have statistically identical distributions of energy levels if the underlying classical dynamics is chaotic(and the systems have the same symmetries). Universality also occurs in quantum wave functions, transition amplitudes and scattering resonances, and in other classes of systems like integrable systems. It is important because it allows the statistical properties of quantum fluctuations in complex systems to be modelled. Understanding it is one of the most important problems in mathematical physics.Research groups at the University of Bristol and the Weizmann Institute in Israel have both recently made very significant advances on fundamental aspects of this universal behaviour, developing a semiclassical theory for universal spectral statistics, identifying significant new universal properties of wave functions, and establishing new classes of systems that exhibit universality. The proposed visit by Prof. Smilansky from the Weizmann Institute would give us the opportunity to build on this work by combining our complementary insights and expertise. We have identified four key problems, listed under Objectives above, on which we believe this will enable usto make very considerable and rapid progress.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk Summary Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:
Further Information:
Organisation Website:	http://www.bris.ac.uk