Bender, CM;
Hook, DW;
Meisinger, PN;
Wang, QH;
(2010)
Complex Correspondence Principle.
PHYS REV LETT
, 104
(6)
, Article 061601. 10.1103/PhysRevLett.104.061601.
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Abstract
Quantum mechanics and classical mechanics are distinctly different theories, but the correspondence principle states that quantum particles behave classically in the limit of high quantum number. In recent years much research has been done on extending both quantum and classical mechanics into the complex domain. These complex extensions continue to exhibit a correspondence, and this correspondence becomes more pronounced in the complex domain. The association between complex quantum mechanics and complex classical mechanics is subtle and demonstrating this relationship requires the use of asymptotics beyond all orders.
| Type: | Article |
|---|---|
| Title: | Complex Correspondence Principle |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.104.061601 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.104.061601 |
| Language: | English |
| Additional information: | © 2010 The American Physical Society |
| Keywords: | NON-HERMITIAN HAMILTONIANS, SYMMETRIC QUANTUM-MECHANICS, PSEUDO-HERMITICITY, DYNAMICAL-SYSTEMS, RIEMANN SURFACES, TRAJECTORIES, SPECTRUM, REALITY |
| UCL classification: | UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/141372 |
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