Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
The quantum mechanical many‐body problem in hyperspherical coordinates. Analysis of systems with coulomb interactions in terms of many‐dimensional hydrogen‐like wave functions
View through CrossRef
AbstractA method is described for using many‐dimensional hydrogen‐like wave functions as a starting point for constructing solutions to the Schrödinger equation of an N‐particle system. The solutions are built up from symmetry‐adapted hyperspherical harmonics, multiplied by functions of the hyperradius, r. Approximate asymptotic solutions for large values of r are discussed, as well as approximate solutions valid near r = 0. Properties of hyperspherical harmonics are discussed. General methods are presented for resolving arbitrary functions into hyperspherical harmonics and for constructing simultaneous eigenfunctions of generalized angular momentum and total orbital angular momentum.
Title: The quantum mechanical many‐body problem in hyperspherical coordinates. Analysis of systems with coulomb interactions in terms of many‐dimensional hydrogen‐like wave functions
Description:
AbstractA method is described for using many‐dimensional hydrogen‐like wave functions as a starting point for constructing solutions to the Schrödinger equation of an N‐particle system.
The solutions are built up from symmetry‐adapted hyperspherical harmonics, multiplied by functions of the hyperradius, r.
Approximate asymptotic solutions for large values of r are discussed, as well as approximate solutions valid near r = 0.
Properties of hyperspherical harmonics are discussed.
General methods are presented for resolving arbitrary functions into hyperspherical harmonics and for constructing simultaneous eigenfunctions of generalized angular momentum and total orbital angular momentum.
Related Results
Tijelo u opusu Janka Polića Kamova
Tijelo u opusu Janka Polića Kamova
The doctoral disertation is dedicated to the concept of the body in the works of Janko Polić Kamov. The body is approached as a signifier system on the basis of which numerous and ...
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...
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...
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...
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...
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...
Research progress of hydrogen tunneling in two-dimensional materials
Research progress of hydrogen tunneling in two-dimensional materials
One-atom-thick material such as graphene, graphene derivatives and graphene-like materials, usually has a dense network lattice structure and therefore dense distribution of electr...
Quantum wave entropy
Quantum wave entropy
In quantum mechanics, particles have a new type of probabilistic property, which is quantum wave probability. Corresponding to this new probability, the particle has the property o...