No resonant tunneling in standard scalar quantum field theory
We investigate the nature of resonant tunneling in Quantum Field Theory. Following the pioneering work of Banks, Bender and Wu, we describe quantum field theory in terms of infinite dimensional quantum mechanics and utilize the ``Most probable escape path'' (MPEP) as the class of paths whi...
| Main Authors: | , , |
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| Format: | Article |
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Springer
2008
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| Online Access: | https://eprints.nottingham.ac.uk/42121/ |
| _version_ | 1848796424090681344 |
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| author | Copeland, Edmund J. Padilla, Antonio Saffin, Paul M. |
| author_facet | Copeland, Edmund J. Padilla, Antonio Saffin, Paul M. |
| author_sort | Copeland, Edmund J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We investigate the nature of resonant tunneling in Quantum Field Theory. Following the pioneering work of Banks, Bender and Wu, we describe quantum field theory in terms of infinite dimensional quantum mechanics and utilize the ``Most probable escape path'' (MPEP) as the class of paths which dominate the path integral in the classically forbidden region. Considering a 1+1 dimensional field theory example we show that there are five conditions that any associated bound state in the classically allowed region must satisfy if resonant tunnelling is to occur, and we then proceed to show that it is impossible to satisfy all five conditions simultaneously. |
| first_indexed | 2025-11-14T19:47:45Z |
| format | Article |
| id | nottingham-42121 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:45Z |
| publishDate | 2008 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421212020-05-04T16:27:18Z https://eprints.nottingham.ac.uk/42121/ No resonant tunneling in standard scalar quantum field theory Copeland, Edmund J. Padilla, Antonio Saffin, Paul M. We investigate the nature of resonant tunneling in Quantum Field Theory. Following the pioneering work of Banks, Bender and Wu, we describe quantum field theory in terms of infinite dimensional quantum mechanics and utilize the ``Most probable escape path'' (MPEP) as the class of paths which dominate the path integral in the classically forbidden region. Considering a 1+1 dimensional field theory example we show that there are five conditions that any associated bound state in the classically allowed region must satisfy if resonant tunnelling is to occur, and we then proceed to show that it is impossible to satisfy all five conditions simultaneously. Springer 2008-01-28 Article PeerReviewed Copeland, Edmund J., Padilla, Antonio and Saffin, Paul M. (2008) No resonant tunneling in standard scalar quantum field theory. Journal of High Energy Physics, 2008 (01). 066. ISSN 1029-8479 http://iopscience.iop.org/article/10.1088/1126-6708/2008/01/066/meta doi:10.1088/1126-6708/2008/01/066 doi:10.1088/1126-6708/2008/01/066 |
| spellingShingle | Copeland, Edmund J. Padilla, Antonio Saffin, Paul M. No resonant tunneling in standard scalar quantum field theory |
| title | No resonant tunneling in standard scalar quantum field theory |
| title_full | No resonant tunneling in standard scalar quantum field theory |
| title_fullStr | No resonant tunneling in standard scalar quantum field theory |
| title_full_unstemmed | No resonant tunneling in standard scalar quantum field theory |
| title_short | No resonant tunneling in standard scalar quantum field theory |
| title_sort | no resonant tunneling in standard scalar quantum field theory |
| url | https://eprints.nottingham.ac.uk/42121/ https://eprints.nottingham.ac.uk/42121/ https://eprints.nottingham.ac.uk/42121/ |