论文信息 - p‐adic quantum mechanics with p‐adic valued functions

p‐adic quantum mechanics with p‐adic valued functions

An extension of the formalism of quantum mechanics to the case where the canonical variables and functions are valued in a field of p‐adic numbers is considered. A new p‐adic integral calculus is used for the realization of the Gauss representation in p‐adic quantum mechanics.

A. Yu. Khrennikov | A. Khrennikov

[1] Chris F. Woodcock,et al. Convolutions on the ring of p-adic integers , 1979 .

[2] V. S. Vladimirov,et al. P-adic Schrödinger-type equation , 1989 .

[3] E. Zelenov. p-Adic quantum mechanics for p=2 , 1989 .

[4] A. Khrennikov. Second quantization and pseudodifferential operators , 1986 .