Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A noval fractional uncertainty relation in quaternionic quantum mechanics
View through CrossRef
In this work, we introduce a new form of the quaternionic fractional
uncertainty relation within the framework of quaternionic quantum
mechanics. This is closely associated with the Li-Ostoja-Starzewski
fractional gradient operator, characterized by an order range of 0
≤1. We explore a novel Quaternionic Schrödinger equation and its
specific implications, particularly addressing solutions that lead to
the emergence of position-dependent mass. Additionally, we validate the
theory by comparing it against the observed maximum wavelengths in the
1,3,5-hexatriene molecule.
Title: A noval fractional uncertainty relation in quaternionic quantum mechanics
Description:
In this work, we introduce a new form of the quaternionic fractional
uncertainty relation within the framework of quaternionic quantum
mechanics.
This is closely associated with the Li-Ostoja-Starzewski
fractional gradient operator, characterized by an order range of 0
≤1.
We explore a novel Quaternionic Schrödinger equation and its
specific implications, particularly addressing solutions that lead to
the emergence of position-dependent mass.
Additionally, we validate the
theory by comparing it against the observed maximum wavelengths in the
1,3,5-hexatriene molecule.
Related Results
Advanced frameworks for fraud detection leveraging quantum machine learning and data science in fintech ecosystems
Advanced frameworks for fraud detection leveraging quantum machine learning and data science in fintech ecosystems
The rapid expansion of the fintech sector has brought with it an increasing demand for robust and sophisticated fraud detection systems capable of managing large volumes of financi...
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Advancements in Quantum Computing and Information Science
Advancements in Quantum Computing and Information Science
Abstract: The chapter "Advancements in Quantum Computing and Information Science" explores the fundamental principles, historical development, and modern applications of quantum co...
Integrating quantum neural networks with machine learning algorithms for optimizing healthcare diagnostics and treatment outcomes
Integrating quantum neural networks with machine learning algorithms for optimizing healthcare diagnostics and treatment outcomes
The rapid advancements in artificial intelligence (AI) and quantum computing have catalyzed an unprecedented shift in the methodologies utilized for healthcare diagnostics and trea...
Reserves Uncertainty Calculation Accounting for Parameter Uncertainty
Reserves Uncertainty Calculation Accounting for Parameter Uncertainty
Abstract
An important goal of geostatistical modeling is to assess output uncertainty after processing realizations through a transfer function, in particular, to...
Quantum information outside quantum information
Quantum information outside quantum information
Quantum theory, as counter-intuitive as a theory can get, has turned out to make predictions of the physical world that match observations so precisely that it has been described a...
Revolutionizing multimodal healthcare diagnosis, treatment pathways, and prognostic analytics through quantum neural networks
Revolutionizing multimodal healthcare diagnosis, treatment pathways, and prognostic analytics through quantum neural networks
The advent of quantum computing has introduced significant potential to revolutionize healthcare through quantum neural networks (QNNs), offering unprecedented capabilities in proc...
Entropic uncertainty in quantum-state cryptography : A mathematical framework for quantum-resilient encryption
Entropic uncertainty in quantum-state cryptography : A mathematical framework for quantum-resilient encryption
In the escalating race between cryptographic security and quantum computing capabilities, the need for robust encryption methodologies that can withstand the prowess of quantum alg...