5 papers
On Some Accelerating Cosmological Kaluza-Klein Models
Goran S. Djordjevic, Ljubisa Nesic
We consider (4+D)-dimensional Kaluza-Klein cosmological model with two scaling factors, as real, p-adic and adelic quantum mechanical one. One of the scaling factors corresponds to…
Propagator for the Free Relativistic Particle on Archimedean and Nonarchimedean Spaces
D. D. Dimitrijevic, G. S. Djordjevic, Lj. Nesic
We consider dynamics of a free relativistic particle at very short distances, treating space-time as archimedean as well as nonarchimedean one. Usual action for the relativistic pa…
Towards Adelic Noncommutative Quantum Mechanics
Goran S. Djordjevic, Ljubisa Nesic
A motivation of using noncommutative and nonarchimedean geometry on very short distances is given. Besides some mathematical preliminaries, we give a short introduction in adelic q…
Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects
G. Djordjevic, B. Dragovich, Lj. Nesic
We present a short review of adelic quantum mechanics pointing out its non-Archimedean and noncommutative aspects. In particular, -adic path integral and adelic quantum cosmolog…
On p-Adic Functional Integration
Goran S. Djordjevic, Branko Dragovich
p-Adic generalization of the Feynman path integrals in quantum mechanics is considered. The probability amplitude for a particle in a constant field is calculated. Path integrals o…