1. A proposal of quantization in flat space-time with a minimal length present.
- Author
-
Hess, P.O.
- Subjects
- *
QUANTUM mechanics , *QUANTIZATION (Physics) , *QUANTUM theory , *COMMUTATION relations (Quantum mechanics) , *COORDINATES - Abstract
The 4-dimensional space-time is extended to pseudo-complex coordinates. Proposing the standard quantization rules in this extended space, the ones for the 4-dimensional sub-space acquire, as one solution, the commutation relations with non-commuting coordinates. This demonstrates that the algebraic extension keeps the simple structure of Quantum Mechanics, while it also introduces an effective quite involved structure in the 4-dimensional sub-space. The first steps to pseudo-complex Quantum Mechanics in 1-dimension are outlined, awaiting still the interpretation of some new emerging structures. (© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [ABSTRACT FROM AUTHOR]
- Published
- 2015
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