Aplicação em alguns casos de métodos de quantização semiclássica a potenciais solúveis e condicionalmente solúveis

• Autor(a) principal: Silva, Silvio Motta de Jesus da [UNESP]
• Data de Publicação: 2018
• Tipo de documento: Trabalho de conclusão de curso
• Idioma: por
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://hdl.handle.net/11449/203028; http://www.athena.biblioteca.unesp.br/exlibris/bd/capelo/2019-10-16/000918462.pdf
• topic: Física matemática; Teoria quântica; Física - Estudo e ensino; Mathematical physics

The present work seeks the study and application of semiclassical quantization methods in exactly and conditionally soluble potentials. The first method presented is the Proper Quantization Rule that can be considered as a method that introduces a quantum correction term in Wilson-Sommerfeld quantization. The second is the Hamilton-Jacobi Quantum Formalism, which is a generalization of classical Hamilton-Jacobi theory and has the advantage of not having to solve any equation of motion to obtain information about the energy of system. Both methods were applied to the harmonic oscillator and to a potential called Scarf trigonometric, which are known to be exactly soluble systems. In order to expand the utility of methods, both were applied to obtain the energy spectrum at a specific potential that belongs to a class of potentials known as conditionally soluble