Quantum groups and polymer quantum mechanics
نویسندگان
چکیده
In Polymer Quantum Mechanics, a quantization scheme that naturally emerges from Loop Gravity, position and momentum operators cannot be both well defined on the Hilbert space [Formula: see text]. It is henceforth deemed impossible to define standard creation annihilation operators. this paper, we show text]-oscillator structure, hence text]-deformed creation/annihilation operators, can text], which then mapped into sum of many copies space. This shows text]-calculus natural calculus for Mechanics. Moreover, inequivalence different superselected sectors text] topological nature.
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2021
ISSN: ['1793-6632', '0217-7323']
DOI: https://doi.org/10.1142/s0217732321502291