Asymptotic methods of complex analysis
Complex analysis-2
Syllabus
- Asymptotic series.
- Asymptotic series: introduction and motivation.
- Borel summation.
- Asymptotic evaluation of integrals.
- Hyperasymptotics and resurgence.
- Examples from Quantum Mechanics and theory of Ordinary Differential Equations.
- WKB approximation, turning points and Stokes geometry for linear ODEs.
- Phase integral methods in non-stationary, scattering and eigenvalue problems.
- Anharmonic Oscillator.
- Nonlinear connection problems.
- Examples from Quantum Field Theory.
- Effective action and derivative expansion.
- Analytic continuation of path integrals.
- Path integrals with multiple zero modes.
- Complex saddle points in path integrals.
Course details
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