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Complex correspondence principle
Carl M Bender1, Daniel W Hook, Peter N Meisinger
1Department of Physics, Washington University, St. Louis, Missouri 63130, USA.
Physical Review Letters
|April 7, 2010
Summary
Quantum and classical mechanics show a surprising correspondence, even when extended into the complex domain. This relationship becomes stronger in complex extensions, revealing subtle connections between quantum particles and classical behavior.
Area of Science:
- Physics
- Quantum Mechanics
- Classical Mechanics
Background:
- The correspondence principle links quantum and classical mechanics at high quantum numbers.
- Recent research explores complex extensions of both quantum and classical mechanics.
Purpose of the Study:
- To investigate the correspondence between complex quantum mechanics and complex classical mechanics.
- To demonstrate the subtle relationship between these complexified theories.
Main Methods:
- Utilizing complex extensions of quantum and classical mechanics.
- Employing asymptotics beyond all orders to reveal the correspondence.
Main Results:
- Complex extensions of quantum and classical mechanics exhibit a correspondence.
- This correspondence is more pronounced in the complex domain.
Conclusions:
- A subtle association exists between complex quantum mechanics and complex classical mechanics.
- Asymptotics beyond all orders are crucial for demonstrating this complex domain correspondence.
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