Phenomenology of Quantum Systems and Wave Mechanics: An Overview

Author(s):  
Valter Moretti
2021 ◽  
Vol 7 (1) ◽  
pp. 42
Author(s):  
Rafaelle da Silva Souza

Erwin Schrödinger (1887-1961) foi um físico austríaco, um grande cientista que viveu em um contexto europeu de mudança e turbulência, mas isso não o impediu de ter uma vida muito intensa, tanto em sua pesquisa científica quanto em sua vida pessoal. Seu trabalho mais famoso, publicado em 1926, inclui sua teoria da mecânica ondulatória, no qual consta a famosa equação que tem hoje o seu nome. Ele mostrou que a equação funcionava adequadamente para calcular os níveis de energia do átomo de hidrogênio. Em outros trabalhos, publicados no mesmo período, mostrou outras aplicações designadas ao oscilador harmônico e uma generalização para o caso dependente do tempo. Sua dedicação aos sistemas quânticos lhe rendeu o Prêmio Nobel em 1933. É sobre esse homem fascinante e complexo que se apresenta um recorte histórico com potencial para atrair não apenas os cientistas, mas qualquer pessoa interessada na história de nossos tempos, na vida e no pensamento de um dos maiores cientistas do século XX. O presente artigo nasceu do fato de que, embora muito se fale sobre Schrödinger, não há textos em língua portuguesa que ultrapassem os limites biográficos, apesar de sua extrema relevância teórica para a pesquisa acadêmica. Nesse sentido, tem-se por objetivo visitar algumas obras que relatam os acontecimentos ou fatos econômicos, políticos, sociais e culturais que resultaram no período mais produtivo da carreira de Schrödinger.A historical overview of Erwin Schrödinger’s contributions to Quantum MechanicsAbstractErwin Schrödinger (1887-1961) was an Austrian physicist, a great scientist who lived in a European context of change and turmoil, but this did not stop him from living a very intense life, both in his scientific research and in his personal life. His most famous work, published in 1926, includes his theory of wave mechanics, which contains the famous equation that bears his name today. He showed that the equation worked properly for calculating the energy levels of the hydrogen atom. In other works, published in the same period, he showed other applications assigned to the harmonic oscillator and a generalization for the time dependent case. His dedication to quantum systems won him the Nobel Prize in 1933. It is about this fascinating and complex man who presents a historical snippet with the potential to attract not only scientists, but anyone interested in the history of our times, life and thought from one of the greatest scientists of the 20th century. This article was born from the fact that, although much is said about Schrödinger, there are no texts in Portuguese that go beyond biographical limits, despite its extreme theoretical relevance for academic research. In this sense, the objective is to visit some works that report the economic, political, social and cultural events or facts that resulted in the most productive period of Schrödinger's career.Keywords: Quantum mechanics; Schrödinger; History of Physics.


Author(s):  
Yoshio Kuramoto ◽  
Yusuke Kato

1993 ◽  
Vol 163 (9) ◽  
pp. 1 ◽  
Author(s):  
B.D. Agap'ev ◽  
M.B. Gornyi ◽  
B.G. Matisov ◽  
Yu.V. Rozhdestvenskii

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky

Author(s):  
Richard Healey

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.


Author(s):  
Anthony Duncan ◽  
Michel Janssen

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics was built in the period 1923–1927 (covered in the second volume). After tracing the early contributions by Planck, Einstein, and Bohr to the theories of black‐body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day, the book tackles the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some striking initial successes (explaining the fine structure of hydrogen, X‐ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics. Constructing Quantum Mechanics is based on the best and latest scholarship in the field, to which the authors have made significant contributions themselves. It breaks new ground, especially in its treatment of the work of Sommerfeld and his associates, but also offers new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout the book, the authors provide detailed reconstructions (at the level of an upper‐level undergraduate physics course) of the cental arguments and derivations of the physicists involved. All in all, Constructing Quantum Mechanics promises to take the place of older books as the standard source on the genesis of quantum mechanics.


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