Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"Dirac Delta"”.
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The time-independent Schrodinger equation with Dirac delta potentials in an infinite potential well
… models in quantum mechanics, as well as the Dirac delta potential. In the first part of the thesis, one Dirac delta potential is considered using the time-independent Schr\"{o}dinger equation, the typical boundary conditions for an infinite well and normalization conditions to obtain the wave …
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Stationary Density Computation of the Frobenius-Perron Operators Based on the Dirac Delta Function
… operator by combining the properties of the Dirac delta function. We can prove that the two definitions for Frobenius-Perron operators are equivalent. Then, we find that by approximating the Dirac delta function, we can exactly obtain the famous Ulam's method again. For the computation of …
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Analysis of solitary waves in inhomogeneous systems
… the NLS equation with an asymmetric double Dirac delta potential, the NLS equation with a Dirac delta potential on star graphs, and the discrete nonlinear Schrödinger (DNLS) equation. For the first model, we obtain analytic solutions and show the difference between ground states that arise …
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A general linear systems theory on time scales : transforms, stability, and control.
… operator, which is a time scale analogue of the Dirac delta distribution. Next, we investigate applications of the transform to linear time invariant systems and before discussing linear time varying systems. The focus is on fundamental notions of linear system control such as controllability, …
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Long-term management and discounting of groundwater resources with a case study of KukioÌ HawaiiÌ
… rate itself. For all solutions an initial Dirac delta of pumping brings the system from initial conditions to the optimal trajectory. Following this initial spike of pumping, the exponential pumping solutions are constant over all time. The hyperbolic pumping solutions are more complex, …
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Experimental Evaluation of Three Backward Transit Time Distributions (bTTD) for Solute Storage and Release During Hyporheic Exchange
… sampling (exponential bTTD), plug-flow sampling (Dirac delta bTTD), and preferential sampling of either young or old water (Gamma bTTD). Using the Method of Moments, these three bTTDs were tested against data from 47 previously published hyporheic exchange experiments conducted in laboratory …
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Kernel-based Lagrangian method for imperfectly-mixed chemical reactions, A
… we show that using kernel-based, rather than Dirac delta, particles can significantly reduce the required number of particles. We derive the fixed half-width of a Gaussian kernel for a given reduced number of particles that analytically eliminates the error between kernel and Dirac solutions …
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Computation of moving interface flows in biophysical applications
… dynamics is established by the use of the Dirac delta function. Utilizing the immersed boundary method, we have studied three biophysical applications. In the first application, we computed the interaction between microtubules and cytoplasmic flow in plant cells. We found that such …
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Dynamically Corrected Quantum Control: A Geometrical Framework
… In the past, driving pulse sequences based on Dirac delta functions or square wave functions, such as Hahn spin echo or CPMG, have been developed to dynamically correcting the noise effects. However, implementing these ideal pulses with high fidelity is a challenging task in real experiments. …
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Algorithm Hardware Codesign for High Performance Neuromorphic Computing
… output is spike, which is represented by Dirac Delta function mathematically. Becauase of the non-differentiable nature of spike, gradient descent cannot be directly used to train SNN. Hence algorithm level innovation is desirable. Next, as an emerging computing paradigm, hardware and …
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NORMAL MODE SPECTRA OF SOUND WAVES IN VISCOUS SOLID AND FLUID MEDIA WITH PARTICULAR APPLICATIONS TO SHALLOW WATER ACOUSTICS
… determined by the integral expressions of the Dirac delta function for the particular coordinate direction of the appropriate coordinate system. The delta function may be written as a summation of normal modes and hence is a convenient method for the treatment of boundary-value …
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Influence of ring stiffeners and prebuckling deformations on the buckling of eccentrically stiffened orthotropic cylinders
… the nonlinear equilibrium equations by use of a Dirac delta function. By a perturbation of the nonlinear equilibrium equations and boundary conditions, a set of nonlinear prebuckling equations and boundary conditions and linear buckling equations and boundary conditions are obtained which govern …
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Numerical simulation of an optimal channel cross-section
… influence the shape of the bank profile. A dirac delta function is used here for the third derivative in order to remedy the problem. By numerically integrating the third derivative, the change in the step function at the junction point can be determined. Regime relations are proposed based …
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Classical, quantum and numerical aspects of modified theories of gravity
… of the local theory, which is in the form of a Dirac delta function, is smeared out in the non-local theory. It is also shown that the gravitational potential energy associated with the self-interaction of the individual particles is finite. We then examine the quantumgravitational entanglement …
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Investigation of Source Extension Methods, the Discrepancy Algorithm, and Noise Estimation to Overcome Cycle Skipping in Full Waveform Inversion
… term to keep an adaptive filter close to the Dirac delta function. MSWI is equivalent to the source extension method described above when the penalty parameter in MSWI approaches zero. Experiments demonstrate that for more complex heterogeneous media experiments MSWI successfully reduces …
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Application of pressure-projection algorithms to a sharp projection immersed boundary method for the incompressible Navier-Stokes equations
… in place of the conventional use of the discrete Dirac delta function and create a new ""sharp"" immersed boundary projection method."
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Numerical simulation and modeling of two-phase flows using the volume-of-fluid method
… with DRLSE. The numerical approximation of the Dirac delta to compute 𝜅 is shown to have a direct effect on the accuracy of the final equilibrium solution and an alternative definition is proposed such that 𝛿(C)=4C(1-C).
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Essays on Characterizing Inefficiency for Stochastic Frontier Models
… of Waldman (1982) result using the theory of the Dirac measure (Dirac, 1930). This essay shows that if the inefficiency distribution converges to a Dirac delta function when the pretruncated variance of the inefficiency distribution goes to zero, the likelihood of the composed error will converge …