Background Citations. Methods Citations. Results Citations. Citation Type. Has PDF. Publication Type. More Filters. A Local Interpretation of Quantum Mechanics. A local interpretation of quantum mechanics is presented. From probabilistic mechanics to quantum theory. Quantum Studies: Mathematics and Foundations. We show that quantum theory QT is a substructure of classical probabilistic physics.
Between classical and quantum. The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this … Expand. Elements of Quantum Mechanics.
Bohmian mechanics constitutes a different way to understand quantum mechanics, where the role of an external observer is not present, and quantum phenomena and processes are explained in a causal … Expand. Despite its age, quantum theory still suffers from serious conceptual difficulties.
To create clarity, mathematical physicists have been attempting to formulate quantum theory geometrically and to … Expand. View 1 excerpt, cites background. Quantum mechanics as a statistical theory. Skip to main content. This service is more advanced with JavaScript available.
Advertisement Hide. On the Principles of Elementary Quantum Mechanics. Authors Authors and affiliations Hilbrand Johannes Groenewold. This process is experimental and the keywords may be updated as the learning algorithm improves. This is a preview of subscription content, log in to check access. Google Scholar. Weyl, Z. Furry, Phys. Ruark, Phys. This led to a physics whose aim was to make assumptions about the mechanism and forces connecting these observable objects, to account for their behaviour in the simplest possible way.
It has become increasingly evident in recent times, however, that nature works on a different plan. Her fundamental laws do not govern the world as it appears in our mental picture in any very direct way, but instead they control a substratum of which we cannot form a mental picture without introducing irrelevancies.
The formulation of these laws requires the use of the mathematics of transformations. The important things in the world appear as the invariants or more generally the nearly invariants, or quantities with simple transformation properties of these transformations. The things we are immediately aware of are the relations of these nearly invariants to a certain frame of reference, usually one chosen so as to introduce special simplifying features which are unimportant from the point of view of general theory.
The growth of the use of transformation theory, as applied first to relativity and later to the quantum theory, is the essence of the new method in theoretical physics. Further progress lies in the direction of making our equations invariant under wider and still wider transformations. This state of affairs is very satisfactory from a philosophical point of view, as implying an increasing recognition of the part played by the observer in himself introducing the regularities that appear in his observations, and a lack of arbitrariness in the ways of nature, but it makes things less easy for the learner of physics.
The new theories, if one looks apart from their mathematical setting, are built up from physical concepts which cannot be explained in terms of tilings previously known to the student, which cannot even be explained adequately in words at all.
Like the fundamental concepts e. From the mathematical side the approach to the new theories presents no difficulties, as the mathematics required at any rate that which is required for the development of physics up to the present is not essentially different from what has been current for a considerable time. Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
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