| EPSRC Reference: |
GR/R11797/01 |
| Title: |
Dynamics and Anomilies In the Statistics of Tunnelling |
| Principal Investigator: |
Creagh, Dr SC |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Sch of Mathematical Sciences |
| Organisation: |
University of Nottingham |
| Scheme: |
Fast Stream |
| Starts: |
16 March 2001 |
Ends: |
15 November 2002 |
Value (£): |
62,907
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
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Summary on Grant Application Form |
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Statistical models based on random matrix theory are a natural means of describing tunnelling rates from the highly excited states of multidimensional quantum systems. Strong systematic deviations from the predictions of random matrix theory have been observed, however, when the main tunnelling route connets to a periodic orbit in the confining potential well. Qualitatively similar dynamics-induced anomalies have recently been predicted to occur in the statistics of wavepacket overlaps as a consequence of scarring. It is proposed that a similar mechanism underlies the deviations seen in tunnelling problem to a complexified Poincare section dynamics which has recently been developed in a collaboration involving the applicant. The result will be a prediction for the distribution of tunneling rates which is valid in the case of scarring and which will be given in terms of the stability properties of the tunnelling orbit in real and complex dynamics. Application to explicit potentials will be considered, including models of chemical reaction rates.
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.nottingham.ac.uk |