5 papers
Adelic Path Integrals for Quadratic Lagrangians
G. S. Djordjevic, B. Dragovich, L. Nesic
Feynman's path integral in adelic quantum mechanics is considered. The propagator K(x'',t'';x',t') for one-dimensional adelic systems with quadratic Lagrangians is analytically eva…
p-Adic and Adelic Minisuperspace Quantum Cosmology
G. S. Djordjevic, B. Dragovich, Lj. D. Nesic +1
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 matte…
p-Adic Path Integrals for Quadratic Actions
G. S. Djordjevic, B. Dragovich
The Feynman path integral in p-adic quantum mechanics is considered. The probability amplitude for one-dimension…
p-Adic and Adelic Free Relativistic Particle
G. S. Djordjevic, B. Dragovich, LJ. Nesic
We consider spectral problem for a free relativistic particle in p-adic and adelic quantum mechanics. In particular, we found p-adic and adelic eigenfunctions. Within adelic approa…
p-Adic and Adelic Harmonic Oscillator with Time-Dependent Frequency
Goran S. Djordjevic, Branko Dragovich
The classical and quantum formalism for a p-adic and adelic harmonic oscillator with time-dependent frequency is developed, and general formulae for main theoretical quantities are…