Scaling flow on covariance forms of CCR algebras

S. Yamagami

DOI:10.1007/s11005-019-01221-8
Corpus ID: 119293605

Scaling flow on covariance forms of CCR algebras

@article{Yamagami2018ScalingFO,
  title={Scaling flow on covariance forms of CCR algebras},
  author={Shigeru Yamagami},
  journal={Letters in Mathematical Physics},
  year={2018},
  volume={110},
  pages={371-385}
}

S. Yamagami
Published 2 November 2018
Mathematics
Letters in Mathematical Physics

In connection with parametric rescaling of free dynamics of CCR, we introduce a flow on the set of covariance forms and investigate its thermodynamic behavior at low temperature with the conclusion that every free state approaches to a selected Fock state as a limit.

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2 Citations

Background Citations

Gaussian elements in CCR algebras

S. Yamagami
Mathematics
2019

A system of matrix units in the Weyl algebra of convolution type is constructed with the aid of a Gaussian element so that it includes von Neumann's minimal projection, which explicitly shows that…

Pusz--Woronowicz's functional calculus revisited

Kanae HatanoY. Ueda
Mathematics
Acta Scientiarum Mathematicarum
2021

This note is a complement to Pusz–Woronowicz’s works on functional calculus for two positive forms from the viewpoint of operator theory. Based on an elementary, self-contained and purely Hilbert…

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