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An Examination of the Quantum Theories. IV
Published online by Cambridge University Press: 14 March 2022
Abstract
We pause in the process of exposition to note what continuity we may in the progress of the theories of discontinuity we have been discussing. The following trends are rather distinct: (1) the development of more and more general mathematical approaches, (2) a marked broadening of the field of experimental issues, and (3) an increasing attention to analysis of fundamental concepts, the philosophy of physics.
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- Copyright © Philosophy of Science Association 1935
References
1 R. J. Seeger, Proc. Nat. Acad. Sci. 17,301 (1931) writes for the idem symbol of all symbolic algebras of quantum theory I ≡ α {u, v} ≡ α (uv–vu) and a symmetry condition for the independent elements, q and p, namely uv2u – vu2v. Theories may disagree as to (1) identification of u and v (2) the unique interpretation of q and p, e.g., as operators, matrices, etc., and (3) the specification of α. Recent theories agree in setting u ≡ p, v – q, and .
2 R. B. Lindsay, Proc. Nat. Acad. Sci. 17,420 (1931) has thus considered the equation of propagation for a small disturbance from equilibrium in a compressible fluid medium, which can be split up into two: (1) An equation of continuity ∇2φ = – ⋅ and (2) an equation of motion . [φ is the velocity potential, C is the velocity of propagation, and S is a quantity, called “condensation,” introduced in order to make possible the separation info two equations]. The second equation may be said to deal with the “particle” aspect, since one develops it for a “part of the medium considered as a whole.”