Localization of symbol correspondences for spin systems (2019)
- Authors:
- Autor USP: ALCÂNTARA, PEDRO ANTONIO SOARES DE - IFSC
- Unidade: IFSC
- Subjects: MECÂNICA QUÂNTICA; FÍSICA MATEMÁTICA; SPIN
- Language: Inglês
- Abstract: This work presents some results on the correspondence principle applied for spin systems (SU(2)- symmetric mechanical systems). After a short introduction, followed by a concise presentation of the relation between Lie groups SU(2) and SO(3), the quantum spin-j systems and the classical spin system are defined. Then, we present the definition of symbol correspondences for spin systems and list some important facts and properties about them, which are detailed in [8]. For our first original result, we prove an important conjecture found in [8]. Then, as our main original work, we propose a treatment to study asymptotic localization of symbols of pure states, which may provide a more physically intuitive criterion for the asymptotic emergence of classical dynamics from quantum dynamics
- Imprenta:
- Publisher place: São Carlos
- Date published: 2019
-
ABNT
ALCANTARA, Pedro Antonio Soares de. Localization of symbol correspondences for spin systems. 2019. Trabalho de Conclusão de Curso (Graduação) – Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, 2019. Disponível em: https://bdta.abcd.usp.br/directbitstream/a927f5da-4839-4e74-9f9c-0360c3727469/Pedro%20Antonio%20Soares%20de%20Alcantara.pdf. Acesso em: 19 mar. 2025. -
APA
Alcantara, P. A. S. de. (2019). Localization of symbol correspondences for spin systems (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/a927f5da-4839-4e74-9f9c-0360c3727469/Pedro%20Antonio%20Soares%20de%20Alcantara.pdf -
NLM
Alcantara PAS de. Localization of symbol correspondences for spin systems [Internet]. 2019 ;[citado 2025 mar. 19 ] Available from: https://bdta.abcd.usp.br/directbitstream/a927f5da-4839-4e74-9f9c-0360c3727469/Pedro%20Antonio%20Soares%20de%20Alcantara.pdf -
Vancouver
Alcantara PAS de. Localization of symbol correspondences for spin systems [Internet]. 2019 ;[citado 2025 mar. 19 ] Available from: https://bdta.abcd.usp.br/directbitstream/a927f5da-4839-4e74-9f9c-0360c3727469/Pedro%20Antonio%20Soares%20de%20Alcantara.pdf
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