Results 41 to 50 of about 839,047 (377)
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
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Quantum harmonic oscillator with superoscillating initial datum [PDF]
, 2014 In this paper, we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the harmonic potential and that the analytic solution develops a singularity ...
R. Buniy +3 more
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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 energy-critical quantum harmonic oscillator [PDF]
, 2014 We consider the energy critical nonlinear Schrödinger equation in dimensions 3 and above with a harmonic oscillator potential. In the defocusing situation, we prove global wellposedness for all initial data in the energy space Σ. This extends a result of
Casey Jao
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Unitary relations in time-dependent harmonic oscillators [PDF]
, 1999 For a harmonic oscillator with time-dependent (positive) mass and frequency, an unitary operator is shown to transform the quantum states of the system to those of a harmonic oscillator system of unit mass and time-dependent frequency, as well as ...
Caldirola P +18 more
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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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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
Heat transport in harmonic oscillator systems with thermal baths: application to optomechanical arrays [PDF]
, 2014 We investigate the transport of phonons between N harmonic oscillators in contact with independent thermal baths and coupled to a common oscillator, and derive an expression for the steady state heat flow between the oscillators in the weak coupling ...
A. Xuereb, A. Imparato, A. Dantan
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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
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Four-nucleon shell-model calculations in a Faddeev-like approach [PDF]
, 1998 We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14 hbar Omega harmonic-oscillator excitations above the unperturbed ground state. Two- and three-body effective interactions
A. Csòtò +44 more
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