Clara Janés. La poética cuántica o la física de la poesía

Este texto plantea la situación de las dos culturas elaborada por Charles Percy Snow en su conferencia de 1959 y elabora sobre la noción de la transdisciplinariedad como acercamiento metodológico a la poesía de Clara Janés, haciendo hincapié en la física como su referente analógico más frecuente. Los poemarios de Janés giran en torno a dos alternativas, la física clásica y sus certezas, causalidad y determinismo, por un lado, y la incertidumbre, indeterminismo e irreversibilidad de la física cuántica, por otro, alternativas articuladas en el texto en torno a las figuras de Erwin Schrödinger con el determinismo de su función de onda y Niels Bohr, arquitecto de la cuántica y de su principio de la complementariedad. El recurso poético de esta autora es mantenerse en el estado flotante de la paradoja cuántica para sostener el potencial creativo y evitar el colapso que, como sucede con la observación en la física cuántica, causaría la preferencia por una de las opciones.

Um recorte histórico das contribuições de Erwin Schrödinger para a Mecânica Quântica

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.

»Ein echter Naturforscher von heute hat eine tiefe Verachtung gegen ›Literatur‹«

ZusammenfassungDer vorliegende Aufsatz beleuchtet die komplexen Wechselbeziehungen zwischen Physik, Literatur und Philologie in der ersten Hälfte des 20. Jahrhunderts. Ausgehend von einem Brief des österreichischen Physikers Erwin Schrödinger an Ernst Cassirer gehen wir der Frage nach, inwiefern die prominenten deutschsprachigen Vertreter der aufstrebenden theoretischen Physik nicht nur literarische Texte und Inhalte verarbeiteten, sondern in ihrer zutiefst philologisch geprägten Publikations- und Arbeitspraxis auch textwissenschaftlich operierten. Lassen sich in den nachgelassenen und publizierten Schriften von Physikern wie Schrödinger neue Hinweise darauf finden, dass die »Macht der Philologie« noch weit ins Jahrhundert der Physik nachwirken, ja Philologie vielleicht sogar als Wissensmodell in der theoretischen Physik fungieren konnte?

Imaging Wavefunctions

The concept of wavefunction was introduced in the first 1926 paper by Erwin Schrödinger as the central object of the atomic world and the cornerstone of quantum mechanics. It is a mathematical representation of de Broglie’s postulate that the electron is a material wave. It was defined as everywhere real, single-valued, finite, and continuously differentiable up to the second order. Nevertheless, for many decades, wavefunction has not been characterized as an observable. First, it is too small. The typical size is a small fraction of a nanometer. Second, it is too fragile. The typical bonding energy of a wavefunction is a few electron volts. The advancement of STM and AFM has made wavefunctions observable. The accuracy of position measurement is in picometers. Both STM and AFM measurements are non-destructive, which leaves the wavefunctions under observation undisturbed. Finally, the meaning of direct experimental7 observation and mapping of wavefunctions is discussed.

Veloziferisch (Velociferian)

The lexeme veloziferisch (velociferian) was first coined by Goethe in an unsent letter from 1825 and entered the public stage four years later with the second edition of the novel second edition of the novel Wilhelm Meisters Wanderjahre, oder die Entsagenden (1829; Wilhelm Meister’s Journeyman Years, or The Renunciants). As a portmanteau, the neologism, which is composed of the Italian velocità and the German luziferisch, combines two central elements of the Goethean imaginary: the accelerated velocity of modern life and the “luciferian” function of negation. Das Veloziferische marks a dangerous speed at which organic growth is outpaced by the rapid acceleration of technological development. At velociferian speeds, the otherwise figurative role of negation in Goethe’s philosophy of nature takes on a disfiguring function, highlighted most clearly by the techno-accelerationist allegory Faust. The invention of this term has prompted recent investigations into the relationship between technological development and social acceleration in modernity. Furthermore, an appreciation of Goethe’s critique of the velociferian enables a fuller understanding of his unique position in relation to broader trends in natural philosophy and the philosophy of biology (Spinoza, Schelling, and Erwin Schrödinger), in addition to the philosophy of technology (Thomas Carlyle and Bruno Latour).

O que é vida? O aspecto físico da célula viva de Erwin Schrödinger

Neste trabalho apresentamos a resenha do livro O que é vida? de Erwin Schrödinger, escrito há quase 80 anos. Sua leitura nos permite uma experiência única de apreciar como um dos maiores físicos do século XX levantava suas questões e como buscava soluções das mesmas. A interdisciplinaridade é uma característica da obra. O leitor será apresentado a conteúdos de física, química, biologia, filosofia, religião, entre outros. Os temas abordados na obra foram, e continuam sendo, de grande importância para o desenvolvimento da ciência. Esse é mais um dos motivos para considerar sua leitura extremamente atual. Com esta resenha, esperamos auxiliar a leitura dessa obra atemporal.

Optimal Transport in Systems and Control

Optimal transport began as the problem of how to efficiently redistribute goods between production and consumers and evolved into a far-reaching geometric variational framework for studying flows of distributions on metric spaces. This theory enables a class of stochastic control problems to regulate dynamical systems so as to limit uncertainty to within specified limits. Representative control examples include the landing of a spacecraft aimed probabilistically toward a target and the suppression of undesirable effects of thermal noise on resonators; in both of these examples, the goal is to regulate the flow of the distribution of the random state. A most unlikely link turned up between transport of probability distributions and a maximum entropy inference problem posed by Erwin Schrödinger, where the latter is seen as an entropy-regularized version of the former. These intertwined topics of optimal transport, stochastic control, and inference are the subject of this review, which aims to highlight connections, insights, and computational tools while touching on quadratic regulator theory and probabilistic flows in discrete spaces and networks. Expected final online publication date for the Annual Review of Control, Robotics, and Autonomous Systems, Volume 4 is May 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.