Article

Inverse problems for Schrödinger equations with Yang–Mills potentials in domains with obstacles and the Aharonov–Bohm effect

Journal of Physics Conference Series 04/2005; 12(1). DOI:10.1088/1742-6596/12/1/003
Source: arXiv

ABSTRACT We study the inverse boundary value problems for the Schrödinger equations with Yang-Mills potentials in a bounded domain Ω 0 ⊂ R n containing finite number of smooth obstacles Ω j , 1 ≤ j ≤ r. We prove that the Dirichlet-to-Neumann opeartor on ∂Ω 0 determines the gauge equivalence class of the Yang-Mills potentials. We also prove that the metric tensor can be recovered up to a diffeomorphism that is identity on ∂Ω 0 .

0 0
·
0 Bookmarks
·
28 Views
• Article: An inverse hyperbolic problem with many boundary measurements
Communications in Partial Differential Equations 01/1991; 16(6-7):1183-1195. · 1.03 Impact Factor
• Source
Article: Significance of Electromagnetic Potentials in the Quantum Theory
[hide abstract]
ABSTRACT: In this paper, we discuss some interesting properties of the electromagnetic potentials in the quantum domain. We shall show that, contrary to the conclusions of classical mechanics, there exist effects of potentials on charged particles, even in the region where all the fields (and therefore the forces on the particles) vanish. We shall then discuss possible experiments to test these conclusions; and, finally, we shall suggest further possible developments in the interpretation of the potentials.
Physical Review - PHYS REV X. 01/1959; 115(3):485-491.