The center of the Dipper Donkin quantized matrix algebra.
Jakobsen, Hans Plesner, Zhang, Hechun (1997)
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Jakobsen, Hans Plesner, Zhang, Hechun (1997)
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Jan Dereziński, Christian Gérard (2010)
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The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting...
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Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation...
Kwaśniewski, A. K.
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Janys̆ka, Joseph, Modugno, Marco (1997)
General Mathematics
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