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More on the quantum harmonic oscillator via unilateral Fourier transform [PDF]

open access: diamondRevista Brasileira de Ensino de Física, 2022
The stationary states of the quantum harmonic oscillator are properly determined by means of the unilateral Fourier transform without having to recourse to the properties of the confluent hypergeometric functions. This simpler procedure is reminiscent of
Douglas Willian Vieira   +1 more
doaj   +6 more sources

Solution for the simple harmonic oscillator problem via unilateral Fourier transform [PDF]

open access: diamondRevista Brasileira de Ensino de Física, 2023
The solution of the simple harmonic oscillator problem is properly determined by means of the unilateral Fourier transform.
Antonio S. de Castro
doaj   +4 more sources

Quantum states of a particle in a box via unilateral Fourier transform [PDF]

open access: diamondRevista Brasileira de Ensino de Física, 2020
The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.
Douglas W. Vieira, Antonio S. de Castro
doaj   +7 more sources

A caveat about applications of the unilateral Fourier transform [PDF]

open access: diamondRevista Brasileira de Ensino de Física, 2020
It is presented a warning about the erroneous use of unilateral Fourier transform with nonhomogeneous Dirichlet or Neumann boundary conditions in a well-known textbook on integral transforms, and also in a few papers recently diffused in the literature.
Antonio S. de Castro
doaj   +8 more sources

Revisiting the quantum harmonic oscillator via unilateral Fourier transforms [PDF]

open access: greenEuropean Journal of Physics, 2015
The literature on the exponential Fourier approach to the one-dimensional quantum harmonic oscillator problem is revised and criticized. It is shown that the solution of this problem has been built on faulty premises. The problem is revisited via the Fourier sine and cosine transform method and the stationary states are properly determined by requiring
Nogueira, Pedro H. F.   +1 more
arxiv   +8 more sources

Motion under a time-dependent driving force plus a linear velocity-dependent friction: From the unilateral Fourier transform to the Green function [PDF]

open access: diamondRevista Brasileira de Ensino de Física
The problem of a particle subject to a time-dependent driving force plus a linear velocity-dependent friction can be addressed by utilizing the unilateral Fourier transform, despite the presence of derivatives of odd and even order in the differential ...
Thomas A. Correa, Antonio S. de Castro
doaj   +4 more sources

Effects of unilateral sciatic neurectomy on growing rat femur as assessed by peripheral quantitative computed tomography, Fourier transform infrared spectroscopy and bending test [PDF]

open access: bronzeThe Journal of Medical Investigation, 2004
We studied the effects of unilateral sciatic neurectomy (USN) on the development of the femoral shaft in the 30 growing Wistar-derived rats aged 5 weeks. Rats were allocated to three groups. One of these was immediately used for measurements, and the remaining 2 groups underwent USN of internal control.
Yonezu, Hiroshi   +2 more
openaire   +4 more sources

Classification of sEMG Signals for Diagnosis of Unilateral Posterior Crossbite in Primary Dentition using Fast Fourier Transform and Logistic Regression [PDF]

open access: yesJournal of Artificial Intelligence and Data Mining, 2022
Posterior crossbite is a common malocclusion disorder in the primary dentition that strongly affects masticatory function. To the best of the author’s knowledge, for the first time, this article presents a reasonable and computationally efficient ...
H. Kalani, E. Abbasi
doaj   +2 more sources

The AERO prosthetic liner: socket pressure distribution, comfort and material composition [PDF]

open access: yesAnnals of Medicine
Purpose This study aimed to evaluate the pressure distribution and comfort of transtibial prosthesis wearers using an affordable ethyl-vinyl acetate (EVA) roll-on (AERO) liner.Method Fifteen unilateral transtibial prosthesis users wore patella tendon ...
Yusuke Miyata   +4 more
doaj   +2 more sources

Neurophysiological Features of Tremor during Walking in Parkinson's Disease. [PDF]

open access: yesMov Disord Clin Pract
Abstract Background In Parkinson's Disease (PD), upper limb tremor during walking (TW) is observed and clinical observations suggest it may represent a variant of rest tremor. However, its neurophysiological characteristics remain unexplored. Objectives This study compared the neurophysiological features of TW with other PD tremors and tested whether ...
Costanzo M   +9 more
europepmc   +2 more sources

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