Results 51 to 60 of about 165,267 (307)
Lissajous curves and semiclassical theory: The two-dimensional harmonic oscillator [PDF]
, 2006 The semiclassical treatment of the two-dimensional harmonic oscillator provides an instructive example of the relation between classical motion and the quantum mechanical energy spectrum.
Brack M. +5 more
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Quantum harmonic oscillator with time-dependent mass [PDF]
Modern physics letters B, 2017 We use the Fourier operator to transform a time-dependent mass quantum harmonic oscillator into a frequency-dependent one. Then we use Lewis–Ermakov invariants to solve the Schrödinger equation by using squeeze operators. Finally, we give two examples of
I. Ramos-Prieto +3 more
semanticscholar +1 more source
Information-Theoretic Models for Physical Observables
Entropy, 2023 This work addresses J.A. Wheeler’s critical idea that all things physical are information-theoretic in origin. In this paper, we introduce a novel mathematical framework based on information geometry, using the Fisher information metric as a particular ...
D. Bernal-Casas, J. M. Oller
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Makara Journal of Science, 2016 This research aims i) to determine the density profile and calculate the ground state energy of a quantum dot in two dimensions (2D) with a harmonic oscillator potential using orbital-free density functional theory, and ii) to understand the effect of ...
Suhufa Alfarisa +2 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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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
semanticscholar +1 more source
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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Quantum Harmonic Oscillator State Control in a Squeezed Fock Basis. [PDF]
Physical Review Letters, 2016 We demonstrate control of a trapped-ion quantum harmonic oscillator in a squeezed Fock state basis, using engineered Hamiltonians analogous to the Jaynes-Cummings and anti-Jaynes-Cummings forms. We demonstrate that for squeezed Fock states with low n the
D. Kienzler +5 more
semanticscholar +1 more source
, 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
core +2 more sources
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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