Abstract

Currently there is no general theory of quantum tunnelling of a particle through a potential barrier which is compatible with QFT. We present a complete calculation of tunnelling amplitudes for a scalar field for some simple potentials using quantum field-theoretic methods. Using the perturbative S-matrix formalism, starting with the Klein–Gordon Lagrangian, we show that an infinite summation of Feynman diagrams can recover tunnelling amplitudes consistent with relativistic quantum mechanics. While this work does not include many-particle effects arising from a fully quantised QFT, it is necessary to investigate QFT corrections to tunnelling amplitudes.

Details

Title
Tunnelling amplitudes through localised external potentials from Feynman diagram summation
Author
Zielinski, Rosemary 1 ; Simenel, Cédric 2 ; McGlynn, Patrick 2 

 The Australian National University, Department of Fundamental and Theoretical Physics, Canberra, Australia (GRID:grid.1001.0) (ISNI:0000 0001 2180 7477) 
 The Australian National University, Department of Fundamental and Theoretical Physics, Canberra, Australia (GRID:grid.1001.0) (ISNI:0000 0001 2180 7477); The Australian National University, Department of Nuclear Physics and Accelerator Applications, Canberra, Australia (GRID:grid.1001.0) (ISNI:0000 0001 2180 7477) 
Pages
992
Publication year
2024
Publication date
Sep 2024
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3111341844
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.