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P-adic Schrödinger-type equation

✍ Scribed by V. S. Vladimirov; I. V. Volovich

Publisher
Springer
Year
1989
Tongue
English
Weight
356 KB
Volume
18
Category
Article
ISSN
0377-9017

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✦ Synopsis

A Schr6dinger-type equation is considered in relation to p-adic quantum mechanics. We discuss the appropriate notion of differential operators. A solution of the Schr6dinger-type equation is given and a new set of vacuum states for the p-adic quantum harmonic oscillator is presented. The correspondence principle with the standard quantum mechanics is also discussed.

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