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Showing 1 to 20 of 71 for “"Harmonic oscillator"”.
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First passage probabilities for a linear harmonic oscillator
Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1964.
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A Mathematical and Experimental Analysis of A Harmonic Oscillator Containing Multiple Nonlinearities
Made available in DSpace on 2014-12-04T21:03:16Z (GMT). No. of bitstreams: 1 6003899.pdf: 5544987 bytes, checksum: f2800d93dbac3c72402cc506c96de692 (MD5) Previous issue date: 1960
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Entanglement and quantum gate processes in the one-dimensional quantum harmonic oscillator
… of interacting particles in a one-dimensional harmonic oscillator is proposed. The robustness of this technique is demonstrated both analytically and numerically for a variety of interaction potentials. When the two qubits are initially in the same state, no entanglement is generated as there …
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Numerical study of time dependent perturbation of a quantum mechanical harmonic oscillator
Massachusetts Institute of Technology. Dept. of Physics. Thesis. 1967. B.S.
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Effects of an External Field and Dissipation on Decoherence
… external field on decoherence in the case of a harmonic oscillator coupled to a heat bath by calculating its contribution to the attenuation coefficient, which is a measure of decoherence in coordinate space and involves directly observable probability distributions. It is found that, while …
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Application of classical non-linear Liouville dynamic approximations
… problem, a quartic perturbed simple harmonic oscillator, whose solution is not capable of being expressed in terms of simple analytic functions. Data produced by the application of the approximation scheme to the perturbed quartic harmonic oscillator is analyzed statistically and …
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MIW Sequences
… states to the normal ground state of the quantum harmonic oscillator has been shown via Stein's method [13, 5,15, 12]. In the Wasserstein-1 metric, this occurs with rate $\calO(\sqrt{\log N}/N)$. In this context, we define a general notion of MIW sequences as a kind of discrete approximation of …
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Investigation into compactifed dimensions : Casimir energies and phenomenological aspects.
… mode of a fixed wavelength behaves like a simple harmonic oscillator. A quantum mechanical property of a simple harmonic oscillator is that the ground state exhibits zero-point fluctuations as a consequence of the Heisenberg Uncertainty Principle. These fluctuations give rise to a number of …
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Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty Relations
… to relate a three dimensional q-deformed oscillator algebra to the corresponding algebra satisfied by canonical variables describing non-commutative spaces. The representations for the corresponding operators obey algebras whose uncertainty relations lead to minimal length, areas and …
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Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation
… for the flatspace metric. The relativistic harmonic oscillator and 1/r potentials are also presented. The 1/r potential is useful for studying the motion of a particle orbiting a hydrogen atom or a black hole.
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A study of vibrating-rotating motions of polyatomic molecules
… levels were obtained variationally by using harmonic oscillator, Kratzer oscillator, and pendulum functions as basis functions. Our approach is computationally efficient and our results agrees with those published in the literature.
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Comparison of Second Order Conformal Symplectic Schemes with Linear Stability Analysis
… Numerical experiments will include the damped harmonic oscillator and the damped nonlinear pendulum.
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Bosonic Quantum Error Correction with a Heavy Fluxonium Control Qubit
… information in the phase space of a quantum harmonic oscillator and offer a hardware‐efficient path towards quantum error correction (QEC), requiring only an oscillator and an auxiliary qubit for measurement and universal control. Of the many bosonic codes, the so‐called …
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Investigation into the properties and application of the Diffusion Monte Carlo method
… problems like the ground state energy of the harmonic oscillator and the Morse oscillator shall be solved using the DMC method and compared to their well-known analytic results. This will support the argument that the DMC may be used to solve problems with which the ground state energy and …
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Investigations on the minimal-length uncertainty relation
… established. Simple quantum systems, namely the harmonic oscillator, the Coulomb potential and the gravitational well are studied in one of these representations, the pseudo-position one, and results are compared to previously published results. The Coulomb potential is also analyzed by an …
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Generalized entanglement in quantum information theory : optimization free measures and faithful extraction protocols
… in a coherent and vacuum squeezed state of a harmonic oscillator. By studying extraction to qubits it is shown that for a single extraction from both reservoirs the stronger protocol outperforms a previous method known as catalytic coherence.
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Application of the algebraic binary cluster model for six nucleon systems in a translationally invariant basis /
… of the permutation operators using the harmonic oscillator basis is explored in the last chapter of the thesis.
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Temperature and Thermal Noise Suppression for Precision Mechanical Experiments
… of gravity would be to entangle massive quantum harmonic oscillators. This quantum harmonic oscillator acts as a resonant sensor for the entanglement with gravity. The quality factor of a resonant sensor must be sufficiently high such that the sensor is not dominated by thermal noise and the …
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Advances in ab initio approaches to nuclear structure, reaction and nucleonic dynamics
… for two-nucleon systems. Working within a harmonic oscillator basis, first without and then with a confining harmonic oscillator trap, we demonstrate the effects of renormalization on observables calculated for truncated basis spaces. We illustrate the renormalization effects for the …
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Assessment of high-fidelity collision models in the direct simulation Monte Carlo method
… as the Lennard-Jones potential and the forced harmonic oscillator model have been introduced into DSMC. However, the fact that computer resources are more readily available and higher-fidelity models have been developed does not necessitate their usage. It is important to understand how such …
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