Edmund J. Copeland
No resonant tunneling in standard scalar quantum field theory
Copeland, Edmund J.; Padilla, Antonio; Saffin, Paul M.
Paul M. Saffin
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.
|Journal Article Type||Article|
|Publication Date||Jan 28, 2008|
|Journal||Journal of High Energy Physics|
|Peer Reviewed||Peer Reviewed|
|APA6 Citation||Copeland, E. J., Padilla, A., & Saffin, P. M. (2008). No resonant tunneling in standard scalar quantum field theory. Journal of High Energy Physics, 2008(1), doi:10.1088/1126-6708/2008/01/066|
|Copyright Statement||Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf|
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf