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- Title
On Geometry of p -Adic Coherent States and Mutually Unbiased Bases.
- Authors
Zelenov, Evgeny
- Abstract
This paper considers coherent states for the representation of Weyl commutation relations over a field of p-adic numbers. A geometric object, a lattice in vector space over a field of p-adic numbers, corresponds to the family of coherent states. It is proven that the bases of coherent states corresponding to different lattices are mutually unbiased, and that the operators defining the quantization of symplectic dynamics are Hadamard operators.
- Subjects
COHERENT states; RIESZ spaces; VECTOR spaces; GEOMETRY; FAMILY policy; HADAMARD matrices; GEOMETRIC quantization
- Publication
Entropy, 2023, Vol 25, Issue 6, p902
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e25060902