Tunneling effect in two dimensions with vanishing magnetic fields.

Autor:	Alfa, Khaled Abou
Předmět:	SCHRODINGER operator PSEUDODIFFERENTIAL operators EIKONAL equation SCHRODINGER equation LAPLACIAN operator
Zdroj:	Journal of Spectral Theory; 2024, Vol. 14 Issue 3, p837-889, 53p
Abstrakt:	In this paper, we consider the semiclassical 2D magnetic Schrödinger operator in the case where the magnetic field vanishes along a smooth closed curve. Assuming that this curve has an axis of symmetry, we prove that semiclassical tunneling occurs. The main result is an expression of the splitting of the first two eigenvalues and an explicit tunneling formula. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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