6533b857fe1ef96bd12b4d2e

RESEARCH PRODUCT

The Complex WKB Method

Johannes Sjöstrand

subject

symbols.namesakeExponential growthDifferential equationQuantization (signal processing)symbolsLimit (mathematics)Schrödinger's catWKB approximationMathematicsMathematical physics

description

In this chapter we shall study the exponential growth and asymptotic expansions of exact solutions of second-order differential equations in the semi-classical limit. As an application, we establish a Bohr-Sommerfeld quantization condition for Schrodinger operators with real-analytic complex-valued potentials.

yearjournalcountryeditionlanguage
2019-01-01
https://doi.org/10.1007/978-3-030-10819-9_7