Quantized Eigenstates of a Classical Particle in a Ponderomotive Potential

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Description

The average dynamics of a classical particle under the action of a high-frequency radiation resembles quantum particle motion in a conservative field with an effective de Broglie wavelength ë equal to the particle average displacement on a period of oscillations. In a "quasi-classical" field, with a spatial scale large compared to ë, the guiding center motion is adiabatic. Otherwise, a particle exhibits quantized eigenstates in a ponderomotive potential well, can tunnel through classically forbidden regions and experience reflection from an attractive potential. Discrete energy levels are also found for a "crystal" formed by multiple ponderomotive barriers.

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Dodin, I.Y. & Fisch, N.J. December 21, 2004.

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Description

The average dynamics of a classical particle under the action of a high-frequency radiation resembles quantum particle motion in a conservative field with an effective de Broglie wavelength ë equal to the particle average displacement on a period of oscillations. In a "quasi-classical" field, with a spatial scale large compared to ë, the guiding center motion is adiabatic. Otherwise, a particle exhibits quantized eigenstates in a ponderomotive potential well, can tunnel through classically forbidden regions and experience reflection from an attractive potential. Discrete energy levels are also found for a "crystal" formed by multiple ponderomotive barriers.

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956 Kilobytes

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  • Report No.: PPPL-4038
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/836574 | External Link
  • Office of Scientific & Technical Information Report Number: 836574
  • Archival Resource Key: ark:/67531/metadc786576

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  • December 21, 2004

Added to The UNT Digital Library

  • Dec. 3, 2015, 9:30 a.m.

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  • Aug. 3, 2016, 4:16 p.m.

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Dodin, I.Y. & Fisch, N.J. Quantized Eigenstates of a Classical Particle in a Ponderomotive Potential, report, December 21, 2004; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc786576/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.