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  • 1
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    Squeezed states, time-energy uncertainty relation, and Feynman's rest of the universe (1992)
    In:  CASI
    Details
    Publication Date: 2013-08-31
    Description: Two illustrative examples are given for Feynman's rest of the universe. The first example is the two-mode squeezed state of light where no measurement is taken for one of the modes. The second example is the relativistic quark model where no measurement is possible for the time-like separation fo quarks confined in a hadron. It is possible to illustrate these examples using the covariant oscillator formalism. It is shown that the lack of symmetry between the position-momentum and time-energy uncertainty relations leads to an increase in entropy when the system is different Lorentz frames.
    Keywords: THERMODYNAMICS AND STATISTICAL PHYSICS
    Type: Workshop on Squeezed States and Uncertainty Relations; p 269-282
    Format: application/pdf
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  • 2
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    Symmetries of coupled harmonic oscillators (1993)
    In:  CASI
    Details
    Publication Date: 2013-08-31
    Description: It is shown that the system of two coupled harmonic oscillators possesses many interesting symmetries. It is noted that the symmetry of a single oscillator is that of the three-parameter group Sp(2). Thus two uncoupled oscillator exhibits a direct product of two Sp(2) groups, with six parameters. The coupling can be achieved through a rotation in the two-dimensional space of two oscillator coordinates. The closure of the commutation relations for the generators leads to the ten-parameter group Sp(4) which is locally isomorphic to the deSitter group O(3,2).
    Keywords: THERMODYNAMICS AND STATISTICAL PHYSICS
    Type: Workshop on Harmonic Oscillators; p 53-66
    Format: application/pdf
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