Results 31 to 40 of about 239,273 (289)
Inverting Time-Dependent Harmonic Oscillator Potential by a Unitary Transformation and a New Class of Exactly Solvable Oscillators [PDF]
, 1996 A time-dependent unitary (canonical) transformation is found which maps the Hamiltonian for a harmonic oscillator with time-dependent real mass and real frequency to that of a generalized harmonic oscillator with time-dependent real mass and imaginary ...
A. B. Nassar +17 more
core +2 more sources
Simple Harmonic Oscillator Equation and Its Hyers-Ulam Stability
Journal of Function Spaces and Applications, 2012 We solve the inhomogeneous simple harmonic oscillator equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the simple harmonic oscillator equation.
Soon-Mo Jung, Byungbae Kim
doaj +1 more source
Numerical investigation of the fractal capillary oscillator
Journal of Low Frequency Noise, Vibration and Active Control, 2023 This paper focuses on the numerical investigation of a fractal modification of capillary oscillator by using a coupling technique based on the two-scale transformation and the global residue harmonic balance method.
Bin Chen, Junfeng Lu, Zhongze Xia
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Condition for minimal Harmonic Oscillator Action [PDF]
Am. J. Phys. 85, 633 (2017), 2021 We provide an elementary proof that the action for the physical trajectory of the one-dimensional harmonic oscillator is guaranteed to be a minimum if and only if $\tau < \pi/\omega$, where $\tau$ is the elapsed time and $\omega$ is the oscillator's natural frequency.
arxiv +1 more source
Harmonic Oscillators in CMOS—A Tutorial Overview
IEEE Open Journal of the Solid-State Circuits Society, 2021 The harmonic oscillator is a truly irreplaceable as well as ubiquitous analog integrated circuit. Starting from the basics of its CMOS implementation, we will discuss the phase noise of the harmonic oscillator in some detail, where the intrinsic large ...
Pietro Andreani, Andrea Bevilacqua
doaj +1 more source
Realization of a Second Harmonic Antenna for Rural Communications [PDF]
ITB Journal of Engineering Science, 2006 In this research, an active antenna operated at the second harmonic frequency is investigated, and is implemented using microstrip antenna material.
Adit Kurniawan, Ahmad Hasyim, Yuyu Wahyu
doaj
Nuclear Physics B, 2022 We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time ‘t’ is also an operator.
Anwesha Chakraborty +2 more
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The multi-faceted inverted harmonic oscillator: Chaos and complexity
SciPost Physics Core, 2021 The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory.
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque, Jeff Murugan, Bin Yan
doaj +1 more source
Spiked harmonic oscillators [PDF]
Journal of Mathematical Physics, 2002 A complete variational treatment is provided for a family of spiked-harmonic oscillator Hamiltonians H=−d2/dx2+Bx2+λ/xα(B>0,λ>0), for arbitrary α>0. A compact topological proof is presented that the set S={ψn} of known exact solutions for α=2 constitutes an orthonormal basis of the Hilbert space L2(0,∞). Closed-form expressions are
Richard L. Hall +2 more
openaire +3 more sources
Driven harmonic oscillator as a quantum simulator for open systems [PDF]
, 2006 We show theoretically how a driven harmonic oscillator can be used as a quantum simulator for non-Markovian damped harmonic oscillator. In the general framework, the results demonstrate the possibility to use a closed system as a simulator for open ...
C. W. Gardiner +8 more
core +2 more sources