On p-adic mathematical physics
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p-Adic and adelic minisuperspace quantum cosmology
GS Djordjević, B Dragovich, LD Nešić… - International Journal of …, 2002 - World Scientific
We consider the formulation and some elaboration of p-adic and adelic quantum cosmology.
The adelic generalization of the Hartle–Hawking proposal does not work in models with …
The adelic generalization of the Hartle–Hawking proposal does not work in models with …
p-Adic and adelic quantum mechanics
B Dragovich - arXiv preprint hep-th/0312046, 2003 - arxiv.org
p-Adic mathematical physics emerged as a result of efforts to find a non-Archimedean
approach to the spacetime and string dynamics at the Planck scale. One of its main …
approach to the spacetime and string dynamics at the Planck scale. One of its main …
Are there p-adic knot invariants?
AY Morozov - Theoretical and Mathematical Physics, 2016 - Springer
We suggest using the Hall–Littlewood version of the Rosso–Jones formula to define the
germs of p-adic HOMFLY-PT polynomials for torus knots [m, n] as coefficients of …
germs of p-adic HOMFLY-PT polynomials for torus knots [m, n] as coefficients of …
p-Adic and adelic cosmology: p-adic origin of dark energy and dark matter
B Dragovich - arXiv preprint hep-th/0602044, 2006 - arxiv.org
A brief review of p-adic and adelic cosmology is presented. In particular, p-adic and adelic
aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the …
aspects of gravity, classical cosmology, quantum mechanics, quantum cosmology and the …
Quantum mechanics on p-adic numbers
A Vourdas - Journal of Physics A: Mathematical and Theoretical, 2008 - iopscience.iop.org
A quantum system with positions in and momenta in is studied. Displacement operators in
the phase space of this system and the corresponding Heisenberg–Weyl group are studied …
the phase space of this system and the corresponding Heisenberg–Weyl group are studied …
Quantum mechanics on profinite groups and partial order
A Vourdas - Journal of Physics A: Mathematical and Theoretical, 2013 - iopscience.iop.org
Inverse limits and profinite groups are used in a quantum mechanical context. Two cases
are considered: a quantum system with positions in the profinite group ${\mathbb {Z}} _p …
are considered: a quantum system with positions in the profinite group ${\mathbb {Z}} _p …
p-Adic and adelic harmonic oscillator with a time-dependent frequency
GS Djordjević, B Dragovich - Theoretical and Mathematical Physics, 2000 - Springer
The classical and quantum formalism for a p-adic and adelic harmonic oscillator with a time-
dependent frequency is developed, and general formulas are obtained for the main …
dependent frequency is developed, and general formulas are obtained for the main …
On p-adic and Adelic generalization of quantum field theory
B Dragovich - Nuclear Physics B-Proceedings Supplements, 2001 - Elsevier
On p-adic and Adelic Generalization of Quantum Field Theory Page 1 ELSEVIER UCLEAR
PHYSIC~ Nuclear Physics B (Proc. Suppl.) 102&103 (2001) 150-155 PROCEEDINGS …
PHYSIC~ Nuclear Physics B (Proc. Suppl.) 102&103 (2001) 150-155 PROCEEDINGS …
[PDF][PDF] Localization in space for free particle in ultrametric quantum mechanics
AY Khrennikov, SV Kozyrev - arXiv preprint quant-ph/0508213, 2008 - researchgate.net
arXiv:quant-ph/0508213v2 18 Oct 2005 Page 1 arXiv:quant-ph/0508213v2 18 Oct 2005
Localization in space for free particle in ultrametric quantum mechanics A.Yu.Khrennikov∗ …
Localization in space for free particle in ultrametric quantum mechanics A.Yu.Khrennikov∗ …