6 citations · 32 across the 13 of their papers we have counts for
17 papers
Noncommutative Quantum Mechanics with Path Integral
Branko Dragovich, Zoran Rakic
We consider classical and quantum mechanics related to an additional noncommutativity, symmetric in position and momentum coordinates. We show that such mechanical system can be tr…
On Uncertainty Relations at Planck's Scale
Branko Dragovich
A brief review of the previous research on the Heisenberg uncertainty relations at the Planck scale is given. In this work, investigation of the uncertainty principle extends to p-…
On Generalized Functions in Adelic Quantum Mechanics
Branko Dragovich
Some aspects of adelic generalized functions, as linear continuous functionals on the space of Schwartz-Bruhat functions, are considered. The importance of adelic generalized funct…
On Some Finite Sums with Factorials
Branko Dragovich
The summation formula $(ε=\pm 1; k=1,2,...; u_k, v_k\in \msbm\hbox{Z}; A_{k-1}$ is a polynomial) is derived and i…
Adelic Model of Harmonic Oscillator
Branko Dragovich
Adelic quantum mechanics is formulated. The corresponding model of the harmonic oscillator is considered. The adelic harmonic oscillator exhibits many interesting features. One of…
On p-Adic Power Series
Branko Dragovich
We obtained the region of convergence and the summation formula for some modified generalized hypergeometric series (1.2). We also investigated rationality of the sums of the power…