Evolution of Aharonov-Berry superoscillations in Dirac \(\delta\)-potential

DOI10.1007/s40509-019-00188-4zbMath1423.81063OpenAlexW2922252048MaRDI QIDQ2329969

Jussi Behrndt, Peter Schlosser, Fabrizio Colombo

Publication date: 18 October 2019

Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40509-019-00188-4

zbMATH Keywords

superoscillating functionsentire functions with exponential growthSchrödinger equation with Dirac \(\delta\)-potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Linear operators on function spaces (general) (47B38) Entire functions of several complex variables (32A15) Holomorphic functions of several complex variables (32A10)

Related Items (11)

Superoscillating sequences and supershifts for families of generalized functions ⋮ Evolution of superoscillations in the Dirac field ⋮ Evolution of superoscillations for spinning particles ⋮ A unified approach to Schrödinger evolution of superoscillations and supershifts ⋮ The general theory of superoscillations and supershifts in several variables ⋮ Entire monogenic functions of given proximate order and continuous homomorphisms ⋮ Infinite order differential operators with a glimpse to applications to superoscillations ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ Infinite-order differential operators acting on entire hyperholomorphic functions ⋮ Holomorphic functions, relativistic sum, Blaschke products and superoscillations ⋮ Evolution of superoscillations in the Klein-Gordon field

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