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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
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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
PubMed
Summary
This summary is machine-generated.

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.

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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.