Published March 5, 2010
| Version v1
Journal article
Poles of integrale tritronquee and anharmonic oscillators. A WKB approach
Description
Poles of solutions to the Painleve-I equations are intimately related to the theory of the cubic anharmonic oscillator. In particular, poles of integrale tritronquee are in bijection with cubic oscillators that admit the simultaneous solutions of two quantization conditions. We analyze this pair of quantization conditions by means of a suitable version of the complex WKB method.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/43/9/095201Additional details
Identifiers
- DOI
- 10.1088/1751-8113/43/9/095201;
- PII
- S1751-8113(10)33876-5;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 43
- Journal Issue
- 9
- Journal Page Range
- [28 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41104209
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANHARMONIC OSCILLATORS; EQUATIONS; MATHEMATICAL SOLUTIONS; QUANTIZATION; WKB APPROXIMATION
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS