| EPSRC Reference: |
GR/M83728/01 |
| Title: |
SPECTRAL ASYMPTOTICS FOR ABSOLUTELY CONTINUOUS (AND SINGULAR) SPECTRA OF SCHRODINGER OPERATORS |
| Principal Investigator: |
Pearson, Professor D |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Applied Mathematics |
| Organisation: |
University of Hull |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 2000 |
Ends: |
31 December 2002 |
Value (£): |
107,456
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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Funding is requested for the appointment of a Post-Doctoral Research Assistant over a three year period, who will assist in the research project summarised below.A primary goal is to prove large distance asymptotic equivalence, in terms of value distribution over energy, of logarithmic derivatives of solutions of the Schrodinger equation at real spectral parameter, and the Dirichlet m-function on a semi-infinite and variable interval. Value distribution techniques and the theory of pseudodifferential operators will be used to determine error bounds for the spectral measure associated with Schrodinger operators on the half-line, using values of the potential on a given finite interval. Numerical and algebraic computing, involving the solution of linear and nonlinear differential equations, will be used to investigate a number of cases, identified as being of particular interest. A further aim is to discover the complete spectral asymptotics, over the absolutely continuous spectrum of the transfer matrix for the Schrodinger equation.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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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.hull.ac.uk |