Ley de decaimiento cuántico relativista a tiempos largos
The decay law for a unstable state has been known classically as a exponential function, however, quantum mechanics allows to see that this is not the general case, as in short times it has a quadratic behavior and in long times it has an inverse power law behavior. In this context, this law (known...
- Autores:
-
Guerrero Parra, Andrés Felipe
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2022
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/64162
- Acceso en línea:
- http://hdl.handle.net/1992/64162
- Palabra clave:
- Mecánica cuántica relativista
Decaimiento cuántico
Resonancias
Física
- Rights
- openAccess
- License
- Atribución-NoComercial-CompartirIgual 4.0 Internacional
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Ley de decaimiento cuántico relativista a tiempos largos |
| title |
Ley de decaimiento cuántico relativista a tiempos largos |
| spellingShingle |
Ley de decaimiento cuántico relativista a tiempos largos Mecánica cuántica relativista Decaimiento cuántico Resonancias Física |
| title_short |
Ley de decaimiento cuántico relativista a tiempos largos |
| title_full |
Ley de decaimiento cuántico relativista a tiempos largos |
| title_fullStr |
Ley de decaimiento cuántico relativista a tiempos largos |
| title_full_unstemmed |
Ley de decaimiento cuántico relativista a tiempos largos |
| title_sort |
Ley de decaimiento cuántico relativista a tiempos largos |
| dc.creator.fl_str_mv |
Guerrero Parra, Andrés Felipe |
| dc.contributor.advisor.none.fl_str_mv |
Kelkar, Neelima Govind |
| dc.contributor.author.none.fl_str_mv |
Guerrero Parra, Andrés Felipe |
| dc.contributor.jury.none.fl_str_mv |
Nowakowski, Marek |
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Grupo de Fisica de Altas energias de la Universidad de los Andes |
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Mecánica cuántica relativista Decaimiento cuántico Resonancias |
| topic |
Mecánica cuántica relativista Decaimiento cuántico Resonancias Física |
| dc.subject.themes.es_CO.fl_str_mv |
Física |
| description |
The decay law for a unstable state has been known classically as a exponential function, however, quantum mechanics allows to see that this is not the general case, as in short times it has a quadratic behavior and in long times it has an inverse power law behavior. In this context, this law (known as the survival or non-decay probability), is the probability that the state in a time t is in its initial state (t=0). In this work, we wanted to study the long time behavior within a special relativity framework for different particles of interest from particle colliders and astrophysical studies. In order to achieve this, first a quantum decay process review was made, along with its long time behavior, its computing methods and the relativistic formalism within, then the computing was made and we obtained numerical results... |
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2022-12-16 |
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2023-01-25T21:13:48Z |
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Particle Data Group. Particle listings. Tomado de https://pdg.lbl.gov/2022/listings/ contents_listings.html, 2022 D. F. Ramirez. Metodos analíticos para el estudio y determinación de leyes de decaimiento en sistemas resonantes no relativistas, 2018. Tesis de maestría. L. Fonda, G.C. Ghirardi, and A. Rimini. Decay theory of unstable quantum systems. Rep. Prog. Phys., 41:587-631, 1978 D. F. Ramirez and N. G. Kelkar. Quantum decay law: critical times and the equivalence of approaches. Journal of Physics A: Mathematical and Theoretical, 52:587-631, 2019 K. Urbanowski. Decay law of relativistic particles: Quantum theory meets special relativity. Physics Letters B, 737:346-351, 2014. K. Urbanowski and K. Raczynska. Possible emission of cosmic X- and -rays by unstable particles at late times. Physics Letters B, 731:236-241, 2014 F. Giraldi. Time Dilation in Relativistic Quantum Decay Laws of Moving Unstable Particles. Adv.High Energy Phys., 2018:1-10, 2018 L. A. Khalfin. Quantum theory of unstable particles and relativity. Institut des Hautes Etudes Scientifique, 1997. M. Shirokov. Decay law of moving unstable particle. International Journal of Theoretical Physics, 43(6), 2004 F. Giacosa and G. Pagliara. Deviation from the exponential decay law in relativistic quantum field theory: the example of strongly decaying particles. Modern Physics Letters A, 26(30):2247- 2259, 202 N. G. Kelkar and M. Nowakowski. No classical limit of quantum decay for broad states. Journal of Physics A: Mathematical and Theoretical, 43, 2010 N. G. Kelkar, M. Nowakowski, and K. P. Khemchandani. Hidden evidence of non-exponential nuclear decay. Physical Review C, 70(2), 2004 M. Nowakowski and N. Kelkar. Long Tail of Quantum Decay from Scattering Data. AIP Conference Proceedings, 1030(1):250-255, 2008 G. Garcia-Calderon. Resonant states and the decay process. In A. Frank and K. B. Wolf, editors, Symmetries in Physics. Springer, 1992 W. Van Dijk and Y. Nogami. Novel expression for the wave function of a decaying quantum system. Physical Review Letters, 83(15):2867-2871, 1999 C. J. Joachain. Quantum Collision Theory. North-Holland Publishing Company, Bélgica, 1975 D. F. Ramirez and N. G. Kelkar. Formal aspects of quantum decay. Physical Review A, 104(2), 2021 J. Levitan. Small time behaviour of an unstable quantum system. Physics Letter A, 19(5,6):267- 272, 1988. K. Urbanowski. General properties of the evolution of unstable states at long times. The European Physical Journal D, 54(1):25-29, 2009 F. Giacosa, A. Okopinska, and V. Shastry. A simple alternative to the relativistic Breit Wigner distribution. The European Physical Journal A, 57(336), 2021. K. Urbanowski. Nonclassical behavior of relativistic unstable particles. Acta Physica Polonica B, 48(8):1411-1432, 2017 L. A. Khalfin. Contribution to the decay theory of a quasi-stationary state. JETP, 3(6):1053- 1063, 1958 D. J. Griffiths. Introduction to electromagnetism. Prentice Hall, 3 edition, 1999 R. A. dInverno. Introducing Einstein's relativity. Oxford University Press, 1992 Raymond A. Serway, Clement J. Moses, and Curt A. Moyer. Física Moderna 3ed. Thomson Learning, Nueva York, Estados Unidos, 2006 D. J. Griffiths. Introduction to elementary particles. John Wiley & Sons, 1987. F. Giacosa. QFT derivation of the decay law of unstable particle with nonzero momentum. Advances in High Energy Physics, 2018 F. Giacosa. Decay law and time dilation. Acta Physica Polonica B, 47(9), 2016. J. Bogdanowicz, M. Pindor, and R. Raczka. An analysis of mean life and lifetime of unstable elementary particles. Foundations of physics, 25(6), 1995 F. Giacosa. Non-exponential decay in quantum field theory and in quantum mecanics: the case of two (or more) decay channels. Foundations of Physics, 42(10):1262-1299, 2012. F. Giacosa. Multichannel decay law. Physics Letters B, 832, 2022 M. J. Ablowitz and A. S. Fokas. Complex Variables: Introduction and Applications. Cambridge University Press, Estados Unidos, 2 edition, 2003 A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev. Integrals and Series: elementary functions, volume 1. Gordon and Breach Science Publishers, 1986. |
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Atribución-NoComercial-CompartirIgual 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Kelkar, Neelima Govindvirtual::15077-1Guerrero Parra, Andrés Feliped02942c6-1d6c-4b20-846c-05983a10c995600Nowakowski, MarekGrupo de Fisica de Altas energias de la Universidad de los Andes2023-01-25T21:13:48Z2023-01-25T21:13:48Z2022-12-16http://hdl.handle.net/1992/64162instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/The decay law for a unstable state has been known classically as a exponential function, however, quantum mechanics allows to see that this is not the general case, as in short times it has a quadratic behavior and in long times it has an inverse power law behavior. In this context, this law (known as the survival or non-decay probability), is the probability that the state in a time t is in its initial state (t=0). In this work, we wanted to study the long time behavior within a special relativity framework for different particles of interest from particle colliders and astrophysical studies. In order to achieve this, first a quantum decay process review was made, along with its long time behavior, its computing methods and the relativistic formalism within, then the computing was made and we obtained numerical results...La ley de decaimiento para un estado inestable se ha entendido clásicamente como una función exponencial, sin embargo, la mecánica cuántica permite ver que esto no siempre es así, en donde se presentan un comportamiento cuadrático a tiempos muy cortos y como ley de potencias inversa a tiempos muy largos. Dentro de este contexto, la ley se entiende como la probabilidad de supervivencia o probabilidad de no decaimiento (PND), donde esta es la probabilidad de que una función de onda en un tiempo t sea la misma que en un tiempo t=0. En este trabajo se busca estudiar el comportamiento a tiempos largos dentro del marco de la relatividad especial para distintas partículas relevantes en colisionadores de partículas y en astrofísica. Para esto, inicialmente se realizó una revisión del proceso de decaimiento cuántico, su comportamiento a tiempos largos, sus de métodos de cálculo y el uso del formalismo relativista en estos, posteriormente se realizó el cálculo y se obtuvieron resultados numéricos...FísicoPregrado29 páginasapplication/pdfspaUniversidad de los AndesFísicaFacultad de CienciasDepartamento de FísicaLey de decaimiento cuántico relativista a tiempos largosTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_7a1fTexthttp://purl.org/redcol/resource_type/TPMecánica cuántica relativistaDecaimiento cuánticoResonanciasFísicaParticle Data Group. Particle listings. Tomado de https://pdg.lbl.gov/2022/listings/ contents_listings.html, 2022D. F. Ramirez. Metodos analíticos para el estudio y determinación de leyes de decaimiento en sistemas resonantes no relativistas, 2018. Tesis de maestría.L. Fonda, G.C. Ghirardi, and A. Rimini. Decay theory of unstable quantum systems. Rep. Prog. Phys., 41:587-631, 1978D. F. Ramirez and N. G. Kelkar. Quantum decay law: critical times and the equivalence of approaches. Journal of Physics A: Mathematical and Theoretical, 52:587-631, 2019K. Urbanowski. Decay law of relativistic particles: Quantum theory meets special relativity. Physics Letters B, 737:346-351, 2014.K. Urbanowski and K. Raczynska. Possible emission of cosmic X- and -rays by unstable particles at late times. Physics Letters B, 731:236-241, 2014F. Giraldi. Time Dilation in Relativistic Quantum Decay Laws of Moving Unstable Particles. Adv.High Energy Phys., 2018:1-10, 2018L. A. Khalfin. Quantum theory of unstable particles and relativity. Institut des Hautes Etudes Scientifique, 1997.M. Shirokov. Decay law of moving unstable particle. International Journal of Theoretical Physics, 43(6), 2004F. Giacosa and G. Pagliara. Deviation from the exponential decay law in relativistic quantum field theory: the example of strongly decaying particles. Modern Physics Letters A, 26(30):2247- 2259, 202N. G. Kelkar and M. Nowakowski. No classical limit of quantum decay for broad states. Journal of Physics A: Mathematical and Theoretical, 43, 2010N. G. Kelkar, M. Nowakowski, and K. P. Khemchandani. Hidden evidence of non-exponential nuclear decay. Physical Review C, 70(2), 2004M. Nowakowski and N. Kelkar. Long Tail of Quantum Decay from Scattering Data. AIP Conference Proceedings, 1030(1):250-255, 2008G. Garcia-Calderon. Resonant states and the decay process. In A. Frank and K. B. Wolf, editors, Symmetries in Physics. Springer, 1992W. Van Dijk and Y. Nogami. Novel expression for the wave function of a decaying quantum system. Physical Review Letters, 83(15):2867-2871, 1999C. J. Joachain. Quantum Collision Theory. North-Holland Publishing Company, Bélgica, 1975D. F. Ramirez and N. G. Kelkar. Formal aspects of quantum decay. Physical Review A, 104(2), 2021J. Levitan. Small time behaviour of an unstable quantum system. Physics Letter A, 19(5,6):267- 272, 1988.K. Urbanowski. General properties of the evolution of unstable states at long times. The European Physical Journal D, 54(1):25-29, 2009F. Giacosa, A. Okopinska, and V. Shastry. A simple alternative to the relativistic Breit Wigner distribution. The European Physical Journal A, 57(336), 2021.K. Urbanowski. Nonclassical behavior of relativistic unstable particles. Acta Physica Polonica B, 48(8):1411-1432, 2017L. A. Khalfin. Contribution to the decay theory of a quasi-stationary state. JETP, 3(6):1053- 1063, 1958D. J. Griffiths. Introduction to electromagnetism. Prentice Hall, 3 edition, 1999R. A. dInverno. Introducing Einstein's relativity. Oxford University Press, 1992Raymond A. Serway, Clement J. Moses, and Curt A. Moyer. Física Moderna 3ed. Thomson Learning, Nueva York, Estados Unidos, 2006D. J. Griffiths. Introduction to elementary particles. John Wiley & Sons, 1987.F. Giacosa. QFT derivation of the decay law of unstable particle with nonzero momentum. Advances in High Energy Physics, 2018F. Giacosa. Decay law and time dilation. Acta Physica Polonica B, 47(9), 2016.J. Bogdanowicz, M. Pindor, and R. Raczka. An analysis of mean life and lifetime of unstable elementary particles. Foundations of physics, 25(6), 1995F. Giacosa. Non-exponential decay in quantum field theory and in quantum mecanics: the case of two (or more) decay channels. Foundations of Physics, 42(10):1262-1299, 2012.F. Giacosa. Multichannel decay law. Physics Letters B, 832, 2022M. J. Ablowitz and A. S. Fokas. Complex Variables: Introduction and Applications. Cambridge University Press, Estados Unidos, 2 edition, 2003A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev. Integrals and Series: elementary functions, volume 1. 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