The Feynman path integral, from the harmonic oscillator to quantum electrodynamics (2022)
- Authors:
- Autor USP: TONHON, RAFAEL CARLOS SILVA - IFSC
- Unidade: IFSC
- Subjects: INTEGRAIS DE FEYNMAN; MECÂNICA QUÂNTICA; SIMULAÇÃO (ESTATÍSTICA); MÉTODO DE MONTE CARLO; ELETRODINÂMICA QUÂNTICA
- Language: Inglês
- Abstract: The Feynman path-integral formulation of quantum mechanics is developed. The math- ematical framework is worked out from Schrödinger’s equation, illustrating the compati- bility of the two formulations. We introduce the sum over all paths, known as the kernel K, and discuss its implications for events occurring in succession. We compute the kernel for quadratic Lagrangians. Then, making use of imaginary time, we consider the discrete version of the kernel, known as the Euclidean path integral, and use it to solve the (quan- tum) harmonic and anharmonic oscillators through numerical Monte Carlo simulations. Lastly, we use the framework to quantize the electromagnetic field, as a motivation to discuss perturbation theory via Feynman diagrams.
- Imprenta:
- Publisher place: São Carlos
- Date published: 2022
-
ABNT
TONHON, Rafael Carlos Silva. The Feynman path integral, from the harmonic oscillator to quantum electrodynamics. 2022. Trabalho de Conclusão de Curso (Graduação) – Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, 2022. Disponível em: https://bdta.abcd.usp.br/directbitstream/00086997-dc73-462f-a7be-80f6e0ab7dac/Rafael%20Carlos%20Silva%20Tonhon.pdf. Acesso em: 27 mar. 2025. -
APA
Tonhon, R. C. S. (2022). The Feynman path integral, from the harmonic oscillator to quantum electrodynamics (Trabalho de Conclusão de Curso (Graduação). Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos. Recuperado de https://bdta.abcd.usp.br/directbitstream/00086997-dc73-462f-a7be-80f6e0ab7dac/Rafael%20Carlos%20Silva%20Tonhon.pdf -
NLM
Tonhon RCS. The Feynman path integral, from the harmonic oscillator to quantum electrodynamics [Internet]. 2022 ;[citado 2025 mar. 27 ] Available from: https://bdta.abcd.usp.br/directbitstream/00086997-dc73-462f-a7be-80f6e0ab7dac/Rafael%20Carlos%20Silva%20Tonhon.pdf -
Vancouver
Tonhon RCS. The Feynman path integral, from the harmonic oscillator to quantum electrodynamics [Internet]. 2022 ;[citado 2025 mar. 27 ] Available from: https://bdta.abcd.usp.br/directbitstream/00086997-dc73-462f-a7be-80f6e0ab7dac/Rafael%20Carlos%20Silva%20Tonhon.pdf
Download do texto completo
| Tipo | Nome | Link | |
|---|---|---|---|
 |
Rafael Carlos Silva Tonho... | Direct link |
How to cite
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
