Imperial College London

Emeritus Professor Ray Rivers

Faculty of Natural SciencesDepartment of Physics

Distinguished Research Fellow
 
 
 
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Contact

 

+44 (0)20 7594 7830r.rivers Website

 
 
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Location

 

509Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Rivers:2011,
author = {Rivers, RJ},
pages = {83--89},
title = {Path Integrals for (Complex) Classical andQuantum Mechanics},
year = {2011}
}

RIS format (EndNote, RefMan)

TY  - CPAPER
AB - An analysis of classical mechanics in a complex extension of phase space shows thata particle in such a space can behave in a way redolant of quantum mechanics; addi-tional degrees of freedom permit 'tunnelling' without recourse to instantons and lead totime/energy uncertainty. In practice, 'classical' particle trajectories with additional de-grees of freedom have arisen in several di®erent formulations of quantum mechanics. Inthis talk we compare the extended phase space of the closed time-path formalism withthat of complex classical mechanics, to suggest that ~ has a role in our understanding ofthe latter. However, di®erences in the way that trajectories are used make a deeper com-parison problematical. We conclude with some thoughts on quantisation as dimensionalreduction.
AU - Rivers,RJ
EP - 89
PY - 2011///
SP - 83
TI - Path Integrals for (Complex) Classical andQuantum Mechanics
ER -