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Quantum mechanics based on position
Authors:Ralph H Young
Institution:(1) Research Laboratories, Eastman Kodak Company, Rochester, New York
Abstract:The only observational quantity which quantum mechanics needs to address islocation. The typical primitive observation on a microsystem (e.g., photon) isdetection at alocation (e.g., by a photomultiplier ldquolooking atrdquo a grating). To analyze an experiment, (a) form a conceptual ensemble of replicas of it, (b) assign a wave function (in ldquoposition representationrdquo) to its initial condition, (c) evolve the wave function by the Schrödinger equation (known, once and for all, as a function of the system's composition), (d) compute the probability for particle detection at various times and places. The initial wave function is chosen on the basis of experience with such treatments. Key experiments are thus treated: (i) time-of-flight, (ii) Stern-Gerlach, (iii) Franck-Hertz, (iv) photon recoil, (v) photoionization. Quantum states, dynamical variables, and measurements, and the usual postulates about them, are superfluous. The explicit treatments are nonrelativistic; the existence of relativistic generalizations is left open.
Keywords:
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