Aharonov-Berry superoscillations in the radial harmonic oscillator potential. (English) Zbl 07899124
Summary: In this paper, we study the evolutions of Aharonov-Berry superoscillations under the radial harmonic oscillator potential. For this model, we know the Green function and, taking advantage of it, we use a method recently developed for the step potential to show how superoscillations evolve in time. Also in this case, the time evolution is studied using the notion of super-shift of functions.
MSC:
| 81-XX | Quantum theory |
| 32A15 | Entire functions of several complex variables |
| 32A10 | Holomorphic functions of several complex variables |
| 47B38 | Linear operators on function spaces (general) |
Keywords:
superoscillating functions; convolution operators; Schrödinger equation; entire functions with growth conditionsReferences:
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