Results 41 to 50 of about 10,495 (249)

Quantum counterparts of VIIα, IIIα=1, VIα≠1 over the harmonic oscillator in semiclassical approximation; pp. 347–354 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of some real 3-dimensional Lie algebras. The Jacobi operators of these quantum algebras are studied in semiclassical approximation.
Eugen Paal, Jüri Virkepu
doaj   +1 more source

Semiclassical superoscillations: interference, evanescence, post-WKB

New Journal of Physics, 2021
The concept of superoscillations is extended beyond bandlimited functions, to include monochromatic waves in space-varying media, such as wavefunctions representing quantum particles in non-constant potentials.
M V Berry, Pragya Shukla
doaj   +1 more source

Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces

, 2023
We show that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators on modulation spaces, and apply the results to prove Strichartz estimates ...
Manna, Ramesh, Ramesh Manna, Bhimani, Divyang G., Bhimani, Divyang, Joachim Toft, Divyang G. Bhimani, Toft, Joachim   +6 more
core   +1 more source

Evolving Probability Representations of Entangled Cat States in the Potentials of Harmonic and Inverted Oscillators

Quantum Reports
We determine the evolving probability representation of entangled cat states in the potential of either the harmonic oscillator or the inverted oscillator, assuming that the states are initially prepared in the potential of the harmonic oscillator.
Matyas Mechler, Margarita A. Man’ko, Vladimir I. Man’ko, Peter Adam   +3 more
doaj   +1 more source

Quantum Harmonic Oscillator

, 2019
Quantum harmonic oscillator (QHO) involves square law potential (x2) in the Schrodinger equation and is a fundamental problem in quantum mechanics. It can be solved by various conventional methods such as (i) analytical methods where Hermite polynomials are involved, (ii) algebraic methods where ladder operators are involved, and (iii) approximation ...
Arno Bohm, Piotr Kielanowski, G. Bruce Mainland   +2 more
openaire   +3 more sources

Discretized representations of harmonic variables by bilateral Jacobi operators

Discrete Dynamics in Nature and Society, 2000
Starting from a discrete Heisenberg algebra we solve several representation problems for a discretized quantum oscillator in a weighted sequence space. The Schrödinger operator for a discrete harmonic oscillator is derived. The representation problem for
Andreas Ruffing
doaj   +1 more source

A discrete quantum model of the harmonic oscillator [PDF]

Journal of Physics A: Mathematical and Theoretical, 2008
We construct a new model of the quantum oscillator, whose energy spectrum is equally-spaced and lower-bounded, whereas the spectra of position and momentum are a denumerable non-degenerate set of points in [-1,1] that depends on the deformation parameter q from (0,1). We provide its explicit wavefunctions, both in position and momentum representations,
Atakishiyev, Natig M., Klimyk, Anatoliy U., Wolf, Kurt Bernardo   +2 more
openaire   +2 more sources

Neuromorphic Electronics for Intelligence Everywhere: Emerging Devices, Flexible Platforms, and Scalable System Architectures

Advanced Materials, EarlyView.
The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj, Roshni Satheesh Babu, Yuxin Xia, Eva Bestelink, Radu Sporea, Nikos Hastas, Ioannis Zeimpekis, Dimitra G. Georgiadou, Sayani Majumdar   +8 more
wiley   +1 more source

Finite quantum kinematics of the harmonic oscillator [PDF]

Journal of Mathematical Physics, 2006
Arbitrarily small changes in the commutation relations suffice to transform the usual singular quantum theories into regular quantum theories. This process is an extension of canonical quantization that we call general quantization. Here we apply general quantization to the time-independent linear harmonic oscillator.
Shiri-Garakani, Mohsen, Finkelstein, David Ritz   +1 more
openaire   +3 more sources

Switchable Magnonic Crystals Based on Spin Crossover/CrSBr Heterostructures

Advanced Materials, EarlyView.
Multiscale modeling is employed to investigate the functionality of a light‐controlled, tunable magnonic crystal based on spin‐crossover Fe‐pz molecules integrated with a monolayer of CrSBr. Ab initio simulations confirm that the molecules remain functional on the CrSBr surface, while a semiclassical elastic model demonstrates that light‐induced ...
Andrei Shumilin, Sourav Dey, Denisa Coltuneac, Laurentiu Stoleriu, José J. Baldoví   +4 more
wiley   +1 more source