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math-ph2013★ 11 cited
Quantum dynamics of a particle constrained to lie on a surface
Gustavo de Oliveira
We consider the quantum dynamics of a charged particle in Euclidean space subjected to electric and magnetic fields under the presence of a potential that forces the particle to st…
math-ph2010
Asymptotics for Fermi curves: small magnetic potential
Gustavo de Oliveira
We consider complex Fermi curves of electric and magnetic periodic fields. These are analytic curves in C^2 that arise from the study of the eigenvalue problem for periodic Schroed…