Time Dependent Quantum Oscillator
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. The time-dependent Schrödinger equation: the need for the Hamiltonian to be self-adjoint
We present some simple arguments to show that quantum mechanics operators are required to be self-adjoint. We emphasize that the very definition of a self-adjoint operator includes the prescription of a certain domain of the operator. We then use these concepts to revisit the solutions of the time-dependent Schroedinger equation of some well-known simple pro
Brazilian Journal of Physics. Publicado em: 2008-03
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2. Sobre aplicações da teoria quântica de invariantes a sistemas hamiltonianos dependentes do tempo
Na presente tese, usamos operadores invariantes lineares à luz do método de invariantes dinâmicos para encontrar as soluções exatas da equação de Schrödinger para um oscilador harmônico forçado generalizado dependente do tempo em termos das soluções de uma equação diferencial de segunda ordem que descreve a amplitude de um oscilador harmônico
Publicado em: 2008
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3. Notes on the quantization of FRW model in the presence of a cosmological constant and radiation
In the present work, we use the formalism of quantum general relativity in order to quantize a Friedmann-Robertson-Walker model in the presence of a negative cosmological constant and radiation. The model has spatial sections with positive constant curvature. The wave-function of the model satisfies a Wheeler-DeWitt equation, for the scale factor, which has
Brazilian Journal of Physics. Publicado em: 2005-12