SEMICLASSICAL ANALYSIS FOR SPECTRAL SHIFT FUNCTIONS IN MAGNETIC SCATTERING BY TWO SOLENOIDAL FIELDS

Autor:	Hideo Tamura
Rok vydání:	2008
Předmět:	Physics Solenoidal vector field Scattering Semiclassical physics Statistical and Nonlinear Physics Function (mathematics) Magnetic flux symbols.namesake Quantum mechanics Quantum electrodynamics symbols Asymptotic formula Aharonov–Bohm effect Finite set Mathematical Physics
Zdroj:	Reviews in Mathematical Physics. 20:1249-1282
ISSN:	1793-6659 0129-055X
DOI:	10.1142/s0129055x08003535
Popis:	We study the Aharonov–Bohm effect through the semiclassical analysis for the spectral shift function and its derivative in magnetic scattering by two solenoidal fields in two dimensions, assuming that the total magnetic flux vanishes. The corresponding classical system has a trajectory oscillating between the centers of two solenoidal fields. The emphasis is placed on analyzing how the trapping effect is reflected in the semiclassical asymptotic formula. We also make a comment on the case of scattering by a finite number of solenoidal fields and discuss the relation between the Aharonov–Bohm effect from quantum mechanics and the trapping effect from classical mechanics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::05c9212c391263e4ada338c82d466b8d https://doi.org/10.1142/s0129055x08003535 Zobrazit plný text záznamu