Harmonic Oscillator
Delay Harmonic Oscillator
... The motion of two point objects at the end of a spring is analyzed. The objects interact by an elastic wave propagating through the spring. A new compre- hensive method, Reaction Mechanics, for the analysis of this ...
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Quantization of Harmonic Oscillator Soliton by Friction Term Method
... one-dimensional harmonic oscillator with frictional term and use them to obtain two describe different solitons, one represents exponentially increasing beam, while the other stand for exponentially ...
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Fractional Fourier Transform to the Time-Independent Schrodinger Equation for the Quantum Harmonic Oscillator
... In our previous work we have proved convolution theorem, inversion formula [7, 8]. In this paper we have established some new operators of fractional Fourier transform. Lastly we have solve the time- independent ...
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DRIVEN HARMONIC OSCILLATOR BY TRAIN OF CHIRPED GAUSSIAN PULSES
... [17] S.S. Hassan, R.A. Alharbey and T. Jarad, Transient spectrum of pulsed- driven harmonic oscillator: damping and pulse shape effects, Nonlinear Optics, Quantum Optics: Concepts in Modern Optics, 48 ...
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The Harmonic Oscillator with Random Damping in Non Markovian Thermal Bath
... the harmonic oscillator with random damping in non-Markovian thermal ...damped harmonic oscillator with multiplicative colored noise and translate it into the additive colored noise by ...
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On the Cauchy problem for a linear harmonic oscillator with pure delay
... the harmonic oscillator with pure ...the harmonic oscillator with pure delay and studied its asymptotics as the delay parameter goes to ...classical harmonic oscillator without ...
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On simulations of the classical harmonic oscillator equation by difference equations
... To obtain some simple discretization of (1.1), we should replace the first derivative and the second derivative by discrete analogues. The results of Section 2 suggest that the best way to discretize the second ...
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EXISTENCE OF TIME OPERATOR FOR A SINGULAR HARMONIC OSCILLATOR
... cle, in spite of the title, the authors consider mainly algebraic and rather formal constructions of operators conjugate to Hamiltonians of CM and CS models. A unitary transformations that connects CM system with free ...
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The group theory of the harmonic oscillator with applications in physics
... Finally the rich group structure of the harmonic oscillator is investigated and a dynamical group proposed which contains, as subgroups, the groups Sp6,R, SU3, H 4 and the direct product[r] ...
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On the existence of periodic and eventually periodic solutions of a fluid dynamic forced harmonic oscillator
... ON THE EXISTENCE OF PERIODIC AND EVENTUALLY PERIODIC SOLUTIONS OF A FLUID DYNAMIC FORCED HARMONIC OSCILLATOR.. COOKE Department of Mathematical Sciences Old Dominion University Norfolk, [r] ...
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Eigenenergy values and Eigenfunctions of a one-dimensional quantum mechanical harmonic oscillator
... mechanical harmonic oscillator by comparing Schrodinger time - independent equation of one-dimensional quantum mechanical harmonic oscillator with modified form of the Hermite differential ...
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Application of Scale Relativity to the Problem of a Particle in a Simple Harmonic Oscillator Potential
... Science harmonic oscillator potential can be correctly obtained without explicitly writing the Schrödinger equation nor using any other of the conventional quantum ...
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MATLAB IMPLEMENTATION OF THE SPRING- MASS HARMONIC OSCILLATOR AND ITS RELEVANCE TO SOLVING REAL-WORLD PROBLEMS
... This solution contains two decaying exponentials and oscillating cosine and sine terms. Thus we can predict that the mass will oscillate about the point of rest with an exponentially decreasing amplitude, eventually ...
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Kinematical Brownian Motion of the Harmonic Oscillator in Non-Commutative Space
... In this work, we present the Jacobi’s second equality in the form of stochastic equation of harmonic oscillator in non-commutative space. The results show that there is no modification on the structure of ...
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Lindblad Equation for Harmonic Oscillator: Uncertainty Relation Depending on Temperature
... We considered the equation proposed by Lindblad for the statistical operator describing nonequilibrium state of quantum harmonic oscillator. From this eq- uation, first we obtained the density matrix ...
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
... and that this value exactly corresponds to the step size in the best discretization of the harmonic oscillator obtained in 2. We conjecture that there is a general link between the geometrical properties of ...
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PARALLEL IMPLEMENTATION OF THE COUPLED HARMONIC OSCILLATOR
... In this research, an optimized parallel model of the coupled harmonic oscillator is introduced. The developed model is used to study a fixed priority scheduling algorithm for real-time parallel threads ...
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The Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties
... i → − i. This suggests that its eigenvalue spectrum might be real, or at least real in parts [10, 11, 12]. Let us now investigate the spectrum perturbatively around the solution of the standard harmonic ...
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Harmonic Oscillator with Fluctuating Mass
... a harmonic oscillator subject to a random force (Brownian motion), or having random frequency, or random ...an oscillator where the particles of the surrounding medium adhere to the oscillator ...
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Numerical modelling of simple harmonic oscillator
... Simple harmonic motion (SHM) is a type of periodic motion where the restoring force is directly proportional to the ...Simple harmonic motion can be easily understood via aid of SHM graph as shown in Figure ...
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