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math-ph2000
Some p-adic differential equations
M. de Gosson, B. Dragovich, A. Khrennikov
We investigate various properties of p-adic differential equations which have as a solution an analytic function of the form , where $P_k (…
math-ph2000
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…
math-ph2000
On p-adic path integral
Branko Dragovich
Feynman's path integral is generalized to quantum mechanics on p-adic space and time. Such p-adic path integral is analytically evaluated for quadratic Lagrangians. Obtained result…