Results 11 to 20 of about 708,136 (308)
On detecting harmonic oscillations [PDF]
Bernoulli, 2015 In this paper, we focus on the following testing problem: assume that we are given observations of a real-valued signal along the grid $0,1,\ldots,N-1$, corrupted by white Gaussian noise. We want to distinguish between two hypotheses: (a) the signal is a nuisance - a linear combination of $d_n$ harmonic oscillations of known frequencies, and (b) signal
Juditsky, Anatoli, B. +1 more
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A THEOREM ON CYCLIC HARMONIC OSCILLATORS [PDF]
International Journal of Modern Physics A, 2006 It is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, ω(t0) = ω(0), cannot decrease on an average if the system is originally in a stationary state, after the system goes through a full cycle.
KONISHI, KENICHI, PAFFUTI, GIAMPIERO
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Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States [PDF]
, 2017 The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum.
P. Bosso, Saurya Das, R. Mann
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Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay [PDF]
, 2016 In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of the perturbation in [] are weakened from polynomial decay to logarithmic decay.
Zhiguo Wang, Zhenguo Liang
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Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process [PDF]
arXiv.org, 2016 We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of (2ℵ+1) quantum harmonic oscillators where the central oscillator of the chain is coupled to a single reservoir. We then
Shan Ma +3 more
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ON RELATIVISTIC HARMONIC OSCILLATOR
Hadronic Journal, 2022 9 LaTeX pages, no ...
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ADELIC HARMONIC OSCILLATOR [PDF]
International Journal of Modern Physics A, 1995 Using the Weyl quantization we formulate one-dimensional adelic quantum mechanics, which unifies and treats ordinary and p-adic quantum mechanics on an equal footing. As an illustration the corresponding harmonic oscillator is considered. It is a simple, exact and instructive adelic model. Eigenstates are Schwartz-Bruhat functions.
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The Harmonic Oscillator on the Heisenberg Group [PDF]
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n$ should be a negative sum of squares of operators related to the sub-Laplacian on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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Quantum harmonic oscillator state synthesis by reservoir engineering [PDF]
Science, 2014 Engineering a shelter for quantum protection In isolation, quantum states of matter can be stable entities. These states are often seen as useful when they can be made to interact in a controlled way.
D. Kienzler +8 more
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