Results 31 to 40 of about 98,865 (276)
Exact diagonalization of the D-dimensional spatially confined quantum harmonic oscillator [PDF]
Kragujevac Journal of Science, 2016 In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues, such methods often involve indirect approaches such as searching for the ...
Kunle Adegoke +4 more
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Scientific Reports, 2022 Quantum microwave transmission is key to realizing modular superconducting quantum computers and distributed quantum networks. A large number of incoherent photons are thermally generated within the microwave frequency spectrum.
Montasir Qasymeh, Hichem Eleuch
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Discrete Quantum Harmonic Oscillator [PDF]
Symmetry, 2019 In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connected with the equation for Meixner polynomials.
Dobrogowska, Alina +1 more
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, 2019 The story of quantum physics began in 1900 when Max Planck discovered by the thermodynamical methods the improvement of the Wien’s law of energy distribution for blackbody radiation and then formulated the microscopic derivation of his equation in terms of oscillators within the cavity of a blackbody.
Arno Bohm +2 more
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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
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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
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, 2006 The inverted harmonic oscillator problem is investigated quantum mechanically. The exact wave function for the confined inverted oscillator is obtained and it is shown that the associated energy eigenvalues are discrete and it is given as a linear ...
A Coruh +8 more
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Radiation reaction and quantum damped harmonic oscillator
, 2005 By taking a Klein-Gordon field as the environment of an harmonic oscillator and using a new method for dealing with quantum dissipative systems (minimal coupling method), the quantum dynamics and radiation reaction for a quantum damped harmonic ...
F. KHEIRANDISH +5 more
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Quantum ReportsWe 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 +3 more
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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
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