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Harmonic Oscillator SUSY Partners and Evolution Loops [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained.
David J. Fernández
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“Square-Root” Klein–Gordon Equation: The Harmonic and Morse Potentials
AtomsQuantum relativistic solutions of a “square-root” version of the Klein–Gordon equation, for a particle in a one-dimensional Morse potential, are presented using methods previously proposed and applied to a particle in a harmonic oscillator.
Luis A. Poveda +2 more
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Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments
New Journal of Physics, 2013 We formulate exact generalized nonequilibrium fluctuation relations for the quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each of the different baths is prepared in its own individual (in general nonthermal) state.
D Pagel +4 more
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Average-Filtering Virtual Oscillator Control for Harmonic Voltage Mitigation
International Transactions on Electrical Energy SystemsVirtual oscillator control (VOC) is a grid-forming control strategy for microgrids, where the inverter is regulated to emulate the behavior of a weak nonlinear oscillator.
Houqing Wang +4 more
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Deterministic nonlinear phase gates induced by a single qubit
New Journal of Physics, 2018 We propose deterministic realizations of nonlinear phase gates by repeating a finite sequence of non-commuting Rabi interactions between a harmonic oscillator and only a single two-level ancillary qubit.
Kimin Park, Petr Marek, Radim Filip
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Jurnal Rekayasa Elektrika, 2017 In telecommunications equipment, an oscillator has a function to generate a carrier signal. As the carrier signal, a high stability performance is required. The frequency shift caused by component tolerances.
Teguh Firmansyah, Gunawan Wibisono
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Preparation of conditionally squeezed states in qubit-oscillator systems
Physical Review ResearchInspired by recent advances in the manipulation of superconducting circuits coupled to mechanical modes in the quantum regime, we propose a protocol for generating superpositions of orthogonally squeezed states in a quantum harmonic oscillator.
Marius K. Hope +2 more
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European Physical Journal C: Particles and Fields, 2019 Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated.
W. C. F. da Silva +2 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2011 The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional Riemannian spaces of nonconstant ...
Ángel Ballesteros +4 more
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Abstract The harmonic oscillator is a cornerstone of classical and quantum physics. It provides a fundamental framework for understanding oscillatory phenomena in mechanics, electronics, and molecular systems. This paper presents a simulation of a mechanical mass-spring-damper system using MATLAB-PYTHON.
Nabidoust, Fatemeh, Nabidoust, Mohammad
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