有限阿德尔上某些弗拉基米洛夫型时变哈密顿的 qp 和 pq 量化的费曼公式

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-08-27 DOI:10.1007/s13324-024-00965-4

Roman Urban

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引用次数: 0

摘要

让 Q 是代数数域 K 上的 d 维有限阿德尔空间，让 \(P=Q^*\)是它的对偶空间。对于某类弗拉基米洛夫型时变哈密顿（H_V(t):Q\times P\rightarrow {\mathbb {C}}\），我们用薛定谔算子构造了考希问题解的费曼公式，其中caret算子代表qp-或pq-量子化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Feynman formulas for qp- and pq-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles

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Feynman formulas for qp- and pq-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles

Let Q be the d-dimensional space of finite adeles over the algebraic number field K and let \(P=Q^*\) be its dual space. For a certain type of Vladimirov type time-dependent Hamiltonian \(H_V(t):Q\times P\rightarrow {\mathbb {C}}\) we construct the Feynman formulas for the solution of the Cauchy problem with the Schrödinger operator where the caret operator stands for the qp- or pq-quantization.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.