Semiclassical Analysis of Quasi-Exact Solvability
C. M. Bender, G. Dunne, M. Moshe
Abstract
Higher-order WKB methods are used to investigate the border between the solvable and insolvable portions of the spectrum of quasi-exactly solvable quantum-mechanical potentials. The analysis reveals scaling and factorization properties that are central to quasi-exact solvability. These two properties define a new class of semiclassically quasi-exactly solvable potentials.
Create a lesson
Related papers
Conformal field theory from automorphic forms on a quantum group
Dalimil Mazac
Anomaly effective actions for 4d N=1 superconformal field theories
Pantelis Panopoulos, Ioannis Papadimitriou
Exact Splitting of Amplitudes and One-Loop Integrands: A Classical Origin of Zeros
Yang Li, Laurentiu Rodina, Zhi-Zhen Wang
5-brane webs and generalised symmetries
Mohammad Akhond, Federico Carta, Sung-Soo Kim et al.
Form Factors in AdS from the Worldsheet
Luis F. Alday, Clément Virally, Xinan Zhou
Higher Integrability, Generalized Symmetries, and Partially Topological Field Theories
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani et al.