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Coupled Harmonic Oscillator in a System of Free Particles

open access: yesMathematics, 2022
The coupled quantum harmonic oscillator is one of the most researched and important model systems in quantum optics and quantum informatics. This system is often investigated for quantum entanglement in the environment.
Dmitry Makarov
doaj   +1 more source

The Analysis of the Physical Quantity N Grid, v, and dt in Solving the Schrödinger Equation Using the Crank-Nicolson Method

open access: yesJurnal Penelitian Fisika dan Aplikasinya, 2022
Solving the Schrödinger equation may result in a wave function of a particle in a quantum system, which can afford the information with respect to the particle’s behavior.
Sri Purwaningsih, Ramacos Fardela
doaj   +1 more source

Cosmic-Time Quantum Mechanics and the Passage-of-Time Problem

open access: yesUniverse, 2023
A new dynamical paradigm merging quantum dynamics with cosmology is discussed. We distinguish between a universe and its background space-time. The universe here is the subset of space-time defined by Ψτ(x)≠0, where Ψτ(x) is a solution of a Schrödinger ...
Marek Czachor
doaj   +1 more source

Fock Expansion for Two-Electron Atoms: High-Order Angular Coefficients

open access: yesAtoms, 2022
The Fock expansion, which describes the properties of two-electron atoms near the nucleus, is studied. The angular Fock coefficients ψk,p(α,θ) with the maximum possible value of subscript p are calculated on examples of the coefficients with 5≤k≤10.
Evgeny Z. Liverts, Rajmund Krivec
doaj   +1 more source

Calculation of the energy levels and wave functions of electrons in nanowires by the shooting method

open access: yesJournal of Applied Science and Engineering, 2021
In this work, the energy levels and wave functions in rectangular and cylindrical nanowires with a finite potential well are calculated. The Schrödinger equation in Cartesian and cylindrical coordinate systems was solved by the shooting method.
G. Gulyamov   +3 more
doaj   +1 more source

Collapse of wave functions in Schrödinger’s wave mechanics

open access: yesScientific Reports
We show that inelastic scattering in a short-range potential leads to a collapse of the wave function within standard evolution through the Schrödinger equation, whereas elastic scattering will not collapse the wave function.
Rainer Dick
doaj   +4 more sources

Intermediate Wave Function Statistics [PDF]

open access: yesPhysical Review Letters, 2003
4 pages, 3 figures.
Berkolaiko, G, Keating, JP, Winn, B
openaire   +4 more sources

Wave interference network with a wave function for traffic sign recognition

open access: yesMathematical Biosciences and Engineering, 2023
In this paper, we successfully combine convolution with a wave function to build an effective and efficient classifier for traffic signs, named the wave interference network (WiNet). In the WiNet, the feature map extracted by the convolutional filters is
Qiang Weng   +4 more
doaj   +1 more source

Eigengame: a primer to introduce wave functions and probabilities

open access: yesFrontiers in Quantum Science and Technology, 2023
We report on a quantum mechanics popularisation software, Eigengame, developed to get general audiences to play with key concepts in quantum mechanics, i.e., the wave function, the quantization of energy, the probability density and, to some extent, the ...
Francesc Sabater   +5 more
doaj   +1 more source

Nanoscale Waveguide Beam Splitter in Quantum Technologies

open access: yesNanomaterials, 2022
Usually in quantum optics, the theory of large- and small-scale waveguide beam splitters is the same. In this paper, it is shown that the theory of the nanoscale waveguide beamsplitter has a significant difference from a similar device, but of a larger ...
Dmitry Makarov   +6 more
doaj   +1 more source

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