Erwin Schrödinger and the rise of wave mechanics. I. Schrödinger's scientific work before the creation of wave mechanics

1987 ◽  
Vol 17 (11) ◽  
pp. 1051-1112
Author(s):  
Jagdish Mehra
Author(s):  
Peter Pesic

Among early twentieth-century physicists, many considered their musical experiences formative of their relation to science. Albert Einstein’s famous devoted to music seems linked to his scientific work mainly through a general quest for harmony. Werner Heisenberg was a skilled musician who embraced a Platonic search for cosmic order after a revelatory performance of Bach. Even the unmusical Erwin Schrödinger found himself relying on musical analogies (as well as color theory) when he formulated his wave mechanics. The development of string theory reengages the mathematics of vibration, though the reality of the “strings” rests on analogy built on analogy, as shown in the progression Yoichiro Nambu described in his early work on this theory. Indeed, the concept of resonance remains important throughout physics, such as high-energy experiments. The Pythagorean theme of harmony remains potent in contemporary physics, though its harmonies are more and more unhearable and embedded in mathematical formalism. Throughout the book where various sound examples are referenced, please see http://mitpress.mit.edu/musicandmodernscience (please note that the sound examples should be viewed in Chrome or Safari Web browsers).


2021 ◽  
Vol 3 (3) ◽  
pp. 96-123
Author(s):  
L.V. Shchennikova

Introduction: the article deals with the methodological problem of the meaning of the goal of civil law research. The author analyzes the dissertation abstracts from the point of view of goal setting, which were completed in different periods of the development of Russian civil law science, identifies the qualitative characteristics of the stages, and proves the connection of the achieved results with the researcher’s knowledge of the methodological methods of goal setting. Purpose: to show the value of goal setting in scientific research in general and in civil research in particular; to consider the relationship of goal setting with the achievement of specific scientific results on the examples of dissertations defended in the specialty 12.00.03; to justify the need to set as goals the fundamental problems associated with the identification of patterns of development of relations that are part of the subject of civil law regulation and the creation of effective mechanisms that mediate them. Methods: system-structural, system-functional, generalization, abstraction, analogy, logical, statistical, classification, legal modeling, comparative legal, forecasting, formal legal, historical. Results: civil methodology should take into account the importance of the goal in the organization of scientific work. Only a competent possession of goal setting skills can ultimately ensure the creation of scientifically-based mechanisms for effective impact of civil law norms on regulated social relations. Conclusions: 1) any science, including the science of civil law, is not only designed to study and describe existing problems, including legislative, doctrinal, and law enforcement. Research, in order to meet the criterion of scientific character, must attempt to identify the laws of development, both regulated relations and mechanisms that mediate them; 2) the significance of the goal in the development of science has been proven by outstanding philosophers. In addition, the very definition of science indicates that goal setting is one of its essential characteristics; 3) the analysis of the author’s abstracts of leading Russian tsivilists showed how the skilful setting of research goals helped to achieve them consistently, as well as to create a high-quality categorical apparatus of civil law science; 4) the analysis of modern dissertations showed that not all young researchers see the value of goal-setting and this methodological disadvantage is important for the author to eliminate.


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