Abstract
In this chapter we try to realize the following program. Consider the formal differential expression Ĥ = H(∂ xJ , x j ) of operators of quantum mechanics or quantum field theory. Let us realize this formal expression as a differential operator with variables x j belonging to the field of p-adic numbers Q p and study the properties of this operator in a p-adic Hilbert space.
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© 1997 Kluwer Academic Publishers
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Khrennikov, A. (1997). Position and Momentum Representations. In: Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Mathematics and Its Applications, vol 427. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1483-4_7
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DOI: https://doi.org/10.1007/978-94-009-1483-4_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7164-2
Online ISBN: 978-94-009-1483-4
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