View in EDS

Static-field tunneling ionization in space-fractional quantum mechanics.

Saved in:
Bibliographic Details
Title: Static-field tunneling ionization in space-fractional quantum mechanics.
Authors: Ciappina, Marcelo F1,2,3 (AUTHOR) marcelo.ciappina@gtiit.edu.cn
Source: Journal of Physics B: Atomic, Molecular & Optical Physics. 2026, Vol. 59 Issue 10, p1-18. 18p.
Subjects: Laplacian operator, Ionization (Atomic physics), Quantum mechanics, Schrödinger equation, Electromagnetic interactions
Abstract: Tunneling ionization in static or slowly varying electric fields is a cornerstone of strong-field physics and provides the entry point for semiclassical descriptions of above-threshold ionization and high-harmonic generation. In conventional quantum mechanics, the Perelomov–Popov–Terent'ev theory and its Ammosov–Delone–Krainov (ADK) form yield an ionization rate whose defining feature is an exponential dependence governed by an under-barrier (imaginary-time) action. Here we develop an analytical ADK-like tunneling model within space-fractional quantum mechanics, where the quadratic kinetic energy is replaced by the Riesz fractional Laplacian of order 1 < α ⩽ 2 . Working in a static electric field in the length gauge, we derive a closed-form tunneling exponent for a triangular exit barrier. The fractional kinetic operator deforms the conventional I p 3 / 2 scaling to I p 1 + 1 / α and introduces a characteristic sin ⁡ (π / α) factor encoding the complex-phase structure associated with nonlocal dispersion. We position this benchmark relative to prior tunneling studies in fractional quantum mechanics (primarily scattering through model barriers and fractal potentials) and provide a validation protocol for testing the exponent in time-dependent simulations of the fractional Schrödinger equation under a constant field. The result establishes a transparent reference for static-field ionization in nonlocal quantum dynamics and a baseline for strong-field approaches extensions. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Physics B: Atomic, Molecular & Optical Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
Description
Abstract:Tunneling ionization in static or slowly varying electric fields is a cornerstone of strong-field physics and provides the entry point for semiclassical descriptions of above-threshold ionization and high-harmonic generation. In conventional quantum mechanics, the Perelomov–Popov–Terent'ev theory and its Ammosov–Delone–Krainov (ADK) form yield an ionization rate whose defining feature is an exponential dependence governed by an under-barrier (imaginary-time) action. Here we develop an analytical ADK-like tunneling model within space-fractional quantum mechanics, where the quadratic kinetic energy is replaced by the Riesz fractional Laplacian of order 1 < α ⩽ 2 . Working in a static electric field in the length gauge, we derive a closed-form tunneling exponent for a triangular exit barrier. The fractional kinetic operator deforms the conventional I p 3 / 2 scaling to I p 1 + 1 / α and introduces a characteristic sin ⁡ (π / α) factor encoding the complex-phase structure associated with nonlocal dispersion. We position this benchmark relative to prior tunneling studies in fractional quantum mechanics (primarily scattering through model barriers and fractal potentials) and provide a validation protocol for testing the exponent in time-dependent simulations of the fractional Schrödinger equation under a constant field. The result establishes a transparent reference for static-field ionization in nonlocal quantum dynamics and a baseline for strong-field approaches extensions. [ABSTRACT FROM AUTHOR]
ISSN:09534075
DOI:10.1088/1361-6455/ae68ca