时间尺度上的量子脉冲动力学方程

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917476

Latifat Adebisi Abimbola, Afolabi O Adedamola

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引用次数: 0

摘要

将时间尺度上的一阶脉冲动力方程推广到Hudson的量子随机微积分和局部凸空间上量子随机微积分的Parthasathy公式。建立了考虑固定时刻脉冲的时间尺度量子脉冲动力学方程的存在性结果，应用了Leray-Schauder不动点定理和Arzela Ascoli不动点定理的非交换类比来建立解的存在性。

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Quantum impulsive dynamic equations on time scales

We generalize First order Impulsive Dynamic equation on time scale to quantum stochastic calculus of Hudson and Parthasathy formulation of quantum stochastic calculus on a certain locally convex space. We establish existence result for the quantum impulsive dynamic equation on time scale considering impulse at fixed moment, we apply the non-commutative analogue of Leray-Schauder and Arzela Ascoli fixed point theorems in establishing the existence of solution.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567