Results 41 to 50 of about 6,126 (171)
Exact Quantum Solutions of Extraordinary N-body Problems
, 1999 The wave functions of Boson and Fermion gases are known even when the particles have harmonic interactions. Here we generalise these results by solving exactly the N-body Schrodinger equation for potentials V that can be any function of the sum of the ...
Antonov V. A. +7 more
core +2 more sources
Some identities related to degenerate r-Bell and degenerate Fubini polynomials
, 2022 Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the introduction of the degenerate Bernoulli and degenerate Euler polynomials by Carlitz. The aim of this paper
Kim, Dae San +2 more
core
A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019 Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim +3 more
doaj +1 more source
REPRESENTATIONS BY ORDERED BELL AND DEGENERATE ORDERED BELL POLYNOMIALS
Rocky Mountain Journal of Mathematics20 pages.
Kim, Dae San, Kim, Taekyun
openaire +2 more sources
A note on truncated degenerate Bell polynomials
, 2020 The aim of this paper is to introduce truncated degenerate Bell polynomials and numbers and to investigate some of their properties. In more detail, we obtain explicit expressions, identities involving other special polynomials, integral representations, Dobinski-like formula and expressions of the generating function in terms of differential operators
Kim, Taekyun, Kim, Dae san
openaire +2 more sources
Degenerate r-truncated Stirling numbers
AIMS Mathematics, 2023 For any positive integer $ r $, the $ r $-truncated (or $ r $-associated) Stirling number of the second kind $ S_{2}^{(r)}(n, k) $ enumerates the number of partitions of the set $ \{1, 2, 3, \dots, n\} $ into $ k $ non-empty disjoint subsets, such that ...
Taekyun Kim, Dae San Kim, Jin-Woo Park
doaj +1 more source
Normal ordering of degenerate integral powers of number operator and its applications
Applied Mathematics in Science and Engineering, 2022 The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Detection of Macroscopic Entanglement by Correlation of Local Observables
, 2005 We propose a correlation of local observables on many sites in macroscopic quantum systems. By measuring the correlation one can detect, if any, superposition of macroscopically distinct states, which we call macroscopic entanglement, in arbitrary ...
A. Sugita +5 more
core +1 more source
Flexible Memory: Progress, Challenges, and Opportunities
Advanced Intelligent Discovery, EarlyView.Flexible memory technology is crucial for flexible electronics integration. This review covers its historical evolution, evaluates rigid systems, proposes a flexible memory framework based on multiple mechanisms, stresses material design's role, presents a coupling model for performance optimization, and points out future directions.
Ruizhi Yuan +5 more
wiley +1 more source
Ecography, EarlyView.Climate change, through rising temperatures, greater variability, and more frequent extremes, is reshaping insect phenology and thermal niches, with profound effects for pest outbreaks. Predicting these impacts requires a clear understanding of species and communities' responses across geographic gradients.
Ruining Li +5 more
wiley +1 more source