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Sharp Resolvent Estimate for the Damped-Wave Baouendi–Grushin Operator and Applications
In this article we study the semiclassical resolvent estimate for the non-selfadjoint Baouendi–Grushin operator on the two-dimensional torus
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Operator Space Manifold Theory: Modeling Quantum Operators with a Riemannian Manifold
The Half-Transform Ansatz (HTA) is a proposed method to solve hyper-geometric equations in Quantum Phase Space by transforming a differential...
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The growth of operator entropy in operator growth
We study upper bounds on the growth of operator entropy S K in operator growth. Using uncertainty relation, we first prove a dispersion bound on the...
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Wave Mechanics
In 1923, L. de Broglie[aut]de Broglie, Louis had proposed the theory of matter waves, suggesting that particles could display wave properties and...
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Wave Dynamics
In this chapter, we focus on the physics behind wave dynamics. After reviewing the harmonic oscillation of point mass-spring systems, we discuss how...
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Kinetic Energy Operator for Linear A2B2 Type Molecules in Polyspherical Nonorthogonal Internal Coordinates
AbstractThe form of the vibrational-rotational operator of kinetic energy for linear symmetric molecules of the A 2 B 2 type in polyspherical...
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On a Hyperbolic Equation for the Rayleigh Wave
AbstractA 1D hyperbolic equation is derived for the Rayleigh wave induced by prescribed surface loading. The wave operator turns out to be...
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Harmonic Oscillator: Operator Method
One-dimensional harmonic oscillator is used as an example of solving a quantum mechanical problem in the abstract Hilbert space, to obtain eigen...
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New periodic-wave, periodic-cross-kink wave, three wave and other analytical wave solitons of new (2+1)-dimensional KdV equation
This research is concerned to some modernistic solutions of new (2+1)-dimensional Korteweg–de Vries equation. The collected solutions can be executed...
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Probability Distributions as Alternatives of the Density Operator and Wave Function for Describing Quantum States
OurWave function goal is to discuss Born’s rule and the probability representationProbability representation of quantum mechanics. We review the...
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Scattering, Random Phase and Wave Turbulence
We start from the remark that in wave turbulence theory, exemplified by the cubic two-dimensional Schrödinger equation (NLS) on the real plane, the...
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Analysis of Parametric Instability of Waves in Magnetic Nanogratings from the Bifurcation Points of the Nonlinear Maxwell Operator
AbstractA technique for studying parametric instabilities in magnetic nanostructures is worked out using the developed computational algorithm for...
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Novel Soliton Molecules, Periodic Wave and other Diverse Wave Solutions to the New (2 + 1)-Dimensional Shallow Water Wave Equation
In this research, we focus on some novel exact solutions of the new (2 + 1)-dimensional shallow water wave equation (SWWE). First, the soliton...
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Conserved spin operator of Dirac’s theory in spatially flat FLRW space-times
New conserved spin and orbital angular momentum operators of Dirac’s theory on spatially flat FLRW space-times are proposed generalizing thus the...
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Bootstrap** the effect of the twist operator in the D1D5 CFT
In the D1D5 CFT the twist operator of order 2 can twist together two copies in the untwisted sector into a single joined copy in the twisted sector....
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The Wave Function
The quantum description of the state of a particle is drastically different from that of the Newtonian description. Instead of specifying the precise...
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Conditional Transformation Operator for Near State Generation
We show that by minor modification of the previously proposed procedure for the generation of near-coherent states, one can produce “near states”...
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Wave function of the sexaquark or compact H-dibaryon
We derive and explicitly display the internal wave function of a color-, flavor- and spin- singlet dibaryon composed of uuddss quarks in a spatially...
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Global Stability of Minkowski Space for the Einstein–Maxwell–Klein–Gordon System in Generalized Wave Coordinates
We prove global existence for Einstein’s equations with a charged scalar field for initial conditions sufficiently close to the Minkowski spacetime...