Quantum-classical interactions and galois type extensions

Władysław Marcinek

Banach Center Publications (2003)

  • Volume: 61, Issue: 1, page 103-109
  • ISSN: 0137-6934

Abstract

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An algebraic model for the relation between a certain classical particle system and the quantum environment is proposed. The quantum environment is described by the category of possible quantum states. The initial particle system is represented by an associative algebra in the category of states. The key new observation is that particle interactions with the quantum environment can be described in terms of Hopf-Galois theory. This opens up a possibility to use quantum groups in our model of particle interactions.

How to cite

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Władysław Marcinek. "Quantum-classical interactions and galois type extensions." Banach Center Publications 61.1 (2003): 103-109. <http://eudml.org/doc/281789>.

@article{WładysławMarcinek2003,
abstract = {An algebraic model for the relation between a certain classical particle system and the quantum environment is proposed. The quantum environment is described by the category of possible quantum states. The initial particle system is represented by an associative algebra in the category of states. The key new observation is that particle interactions with the quantum environment can be described in terms of Hopf-Galois theory. This opens up a possibility to use quantum groups in our model of particle interactions.},
author = {Władysław Marcinek},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {103-109},
title = {Quantum-classical interactions and galois type extensions},
url = {http://eudml.org/doc/281789},
volume = {61},
year = {2003},
}

TY - JOUR
AU - Władysław Marcinek
TI - Quantum-classical interactions and galois type extensions
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 103
EP - 109
AB - An algebraic model for the relation between a certain classical particle system and the quantum environment is proposed. The quantum environment is described by the category of possible quantum states. The initial particle system is represented by an associative algebra in the category of states. The key new observation is that particle interactions with the quantum environment can be described in terms of Hopf-Galois theory. This opens up a possibility to use quantum groups in our model of particle interactions.
LA - eng
UR - http://eudml.org/doc/281789
ER -

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