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- W3103514048 abstract "We consider the Fermi quantization of the classical damped harmonic oscillator (dho). In past work on the subject, authors double the phase space of the dho in order to close the system at each moment in time. For an infinite-dimensional phase space, this method requires one to construct a representation of the CAR algebra for each time. We show that unitary dilation of the contraction semigroup governing the dynamics of the system is a logical extension of the doubling procedure, and it allows one to avoid the mathematical difficulties encountered with the previous method." @default.
- W3103514048 created "2020-11-23" @default.
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- W3103514048 date "2005-02-17" @default.
- W3103514048 modified "2023-10-16" @default.
- W3103514048 title "Quantizing the damped harmonic oscillator" @default.
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- W3103514048 doi "https://doi.org/10.1088/0305-4470/38/9/012" @default.
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