Why is quantum physics based on complex numbers?

FM Lev - Finite Fields and Their Applications, 2006 - Elsevier
The modern quantum theory is based on the assumption that quantum states are
represented by elements of a complex Hilbert space. It is expected that in future quantum …

p-Adic Strings and Noncommutativity

B Dragovich, IV Volovich - Noncommutative Structures in Mathematics and …, 2000 - Springer
Some possible connections between p-adic string theory and noncommutativity are
considered. Their relation to the uncertainty in space measurements at the Planck scale is …

Adelic strings and noncommutativity

B Dragovich - arXiv preprint hep-th/0105103, 2001 - arxiv.org
We consider adelic approach to strings and spatial noncommutativity. Path integral method
to string amplitudes is emphasized. Uncertainties in spatial measurements in quantum …

Noncommutativity and Humanity—Julius Wess and his Legacy

GS Djordjevic - International Journal of Modern Physics: Conference …, 2012 - World Scientific
A personal view on Julius Wess's human and scientific legacy in Serbia and the Balkan
region is given. Motivation for using noncommutative and nonarchimedean geometry on …

Towards adelic noncommutative quantum mechanics

GS Djordjević, L Nešić - Particle Physics in the New Millennium …, 2003 - Springer
A motivation of using noncommutative and nonarchimedean geometry on very short
distances is given. Besides some mathematical preliminaries, we give a short introduction in …

REAL AND -ADIC ASPECTS OF QUANTIZATION OF TACHYONS

GS Djordjević, L Nešić - Mathematical, Theoretical and …, 2005 - World Scientific
A simplified model of tachyon matter in classical and quantum mechanics is constructed. p-
Adic path integral quantization of the model is considered. Recent results in using p-adic …

[PDF][PDF] Exactly solvable quantum models on nonarchimedean spaces

GS Djordjevic, N Ljubisa - Physics AUC, 2006 - Citeseer
The exactly solvable models are of a great significance in any theory in physics. In this
review we consider a class of exactly solvable quantum (minisuperspace cosmological) …

[PDF][PDF] Notes on ultrametric extra dimensions and noncommutative quantum cosmology

GS Djordjevic, L Nesic, D Dimitrijevic - Strings@ the Black Sea, 2005 - researchgate.net
We consider the (4+ D)-dimensional Kaluza-Klein cosmological model with two scaling
factors filled with an exotic fluid. One of the scaling factors corresponds to the D-dimensional …

[HTML][HTML] The Segal–Shale–Weil representation, the indices of Kashiwara and Maslov, and quantum mechanics

MC Berg - Expositiones Mathematicae, 2016 - Elsevier
We produce a connection between the Weil 2-cocycles defining the local and adèlic
metaplectic groups defined over a global field, ie the double covers of the attendant local …

[PDF][PDF] О СИМБОЛУ ПСЕУДОДИФЕРЕНЦИЈАЛНОГ ОПЕРАТОРА НАД ПОЉЕМ P-АДИЧНИХ БРОЈЕВА

ДД ДИМИТРИЈЕВИЋ, ГС ЂОРЂЕВИЋ, Љ НЕШИЋ - tesla.pmf.ni.ac.rs
САЖЕТАК У овом раду су разматрана својства псеудодиференцијалног оператора чији
је симбол рационални део p-адичног броја. Разматрани оператор показује …