Suggested Interpretation of the Quantum Theory in Terms of Hidden Variables

Bohm, David

Published by The Physical Review, 1952
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FIRST EDITION of David Bohm's deterministic "hidden variables" approach to quantum theory. "Bohm's primary contribution to Quantum Theory lies in his attempt to construct an ordinary reality interpretation in terms of 'hidden variables.' Bohm considered this interpretation of Quantum Theory to be a significant advance in the development of the theory, one that might appease the many critics who, having aligned themselves with Einstein, still maintained that Quantum Theory is incomplete. This claim as to the possible existence of 'hidden variables' would serve as a springboard for future analysis and experimentation by people like Bell and Aspect, who would be instrumental in finally closing the book on the completeness debate" (Dolling et al., The Tests of Time). Parts I-II (all). In: The Physical Review, Second Series, Volume 85, Number 2, pp. 166-193. Lancaster, PA, 1952. Quarto, the complete issue in original blue wrappers; custom box. Fading to spine and discoloration to wrapper edges; crease to lower outer corner of front wrapper and owner signature at top; text fine. Bookseller Inventory #

Bibliographic Details

Title: Suggested Interpretation of the Quantum ...
Publisher: The Physical Review
Publication Date: 1952
Binding: Hardcover
Book Condition: Fine
Edition: 1st Edition.

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1.

Bohm, David
Published by American Physical Society, Lancaster (1952)
Used First Edition Quantity Available: 1
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Atticus Rare Books
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Book Description American Physical Society, Lancaster, 1952. 1st Edition. FIRST EDITION of David Bohm's deterministic 'Hidden Variables Approach to Quantum Theory.' Bohm's 'Hidden Variables' interpretation is the basis of the De Broglie-Bohm Theory (or Bohmian Mechanics) and extends the Pilot Wave Theory to cover multiple particles. Bohm published an account of quantum theory that was fully deterministic, but which gave exactly the same experimental predictions as those of conventional quantum mechanics. In this theory, probabilities arise from ignorance of certain details. This remarkable discovery led John Bell to re-examine von Neumann's argument stating that this was impossible and to exhibit the flawed assumption on which this erroneous conclusion had been based" (Polkinghorne, Quantum Theory). ALSO included is Bohm and Pine's seminal quartet of papers, "A Collective Description of Electron Interactions: II. Collective vs. Individual Particle Aspects of the Interactions." The papers illustrate the Bohm-Pines idea that the physics of the electron fluid can be divided up into high-energy collective "plasmon modes" and low energy electron quasiparticles. In this landmark group of papers, Bohm and Pines realized that they could realized that they could separate the strongly interacting gas via a unitary transformation into two well-separated sets of excitations, high-energy collective oscillations of the electron gas, called plasmons, and low energy electrons. The Pines-Bohm paper is a progenitor of the idea of renormalization: the idea that high-energy modes of the system can be successively eliminated to give rise to a renormalized picture of the residual low energy excitations. Part II (included here) specifically breaks the theoretical practice into six elements. ALSO included in this volume is C. N. Yang's seminal paper "The Spontaneous Magnetization of a Two-Dimensional Ising Model" in which the model is calculated exactly with the result also giving the long-range order in the lattice. This is the first publication of a derivation for the square lattice and Yang's proof is considered a mathematical tour-de-force. ALSO included are the following other papers of great import: Deutsch and Brown's letter "Zeeman Effect and Hyperfine Splitting of Positronium" and Bethe and Butler's "A Proposed Test of the Nuclear Shell Model." CONDITION & DETAILS: Lancaster: American Physical Society. Volume 85, 1952. P(10.5 x 8 inches; 262 x 200mm). Ex-libris bearing only a small stamp on the title page; none whatsoever on the spine. Tightly and solidly bound in green buckram; gilt-lettered at the spine. Bright and clean inside and out. Near fine condition. Bookseller Inventory # 124

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BOHM, DAVID.
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Book Description Lancaster, American Institute of Physics, 1952. Lex8vo. Entire volume 85, January 1 - March 15 of "The Physical Review". Bound in full green cloth with gilt lettering to spine. Library stamp to front free end-paper and title page. Minor wear to extremities, otherwise a fine and clean copy. Pp: 166-79; 180-93. [Entire volume: Pp. ix, (1), 1100.]. First announcement of Bohm's alternative interpretation of quantum mechanics (also known as Bohmian mechanics). Here Bohm did the impossible, i.e. adding hidden variables, actually particle positions, to standard quantum theory and obtained a fully realistic and deterministic version of the theory. This approach was considered impossible by most physicists of the time because of John von Neumann's mathematical proof of the contrary. Also, most physicists had been schooled with the dominating Copenhagen Interpretation, and only few physicists like Einstein, Podolsky & Rosen were still hoping for a "complete description of reality". Bohm's paper did attract much attention but not many supporters, because his theory was non-local and therefore not in agreement with special relativity. But it did show that something had to be wrong with von Neumann's proof and eventually inspired John S. Bell to reopen the debate. Bookseller Inventory # 43718

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BOHM, David
Published by American Institute of Physics (1952)
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Landmarks of Science Books
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Book Description American Institute of Physics, 1952. Soft cover. Book Condition: Very Good. 1st Edition. Large 8vo. Complete journal issue in original printed wrappers. FIRST EDITION of Bohm's deterministic "hidden variables" approach to quantum theory. "Bohm's primary contribution to Quantum Theory lies in his attempt to construct an ordinary reality interpretation in terms of 'hidden variables.' Bohm considered this interpretation of Quantum Theory to be a significant advance in the development of the theory, one that might appease the many critics who, having aligned themselves with Einstein, still maintained that Quantum Theory is incomplete. This claim as to the possible existence of 'hidden variables' would serve as a springboard for future analysis and experimentation by people like Bell and Aspect, who would be instrumental in finally closing the book on the completeness debate" (Dolling et al., The Tests of Time). "Bohmian mechanics, which is also called the de Broglie-Bohm theory, the pilot-wave model, and the causal interpretation of quantum mechanics, is a version of quantum theory discovered by Louis de Broglie in 1927 and rediscovered by David Bohm in 1952. It is the simplest example of what is often called a hidden variables interpretation of quantum mechanics. In Bohmian mechanics a system of particles is described in part by its wave function, evolving, as usual, according to Schrödinger's equation. However, the wave function provides only a partial description of the system. This description is completed by the specification of the actual positions of the particles. The latter evolve according to the “guiding equation,” which expresses the velocities of the particles in terms of the wave function. Thus, in Bohmian mechanics the configuration of a system of particles evolves via a deterministic motion choreographed by the wave function. In particular, when a particle is sent into a two-slit apparatus, the slit through which it passes and its location upon arrival on the photographic plate are completely determined by its initial position and wave function. Bohmian mechanics inherits and makes explicit the nonlocality implicit in the notion, common to just about all formulations and interpretations of quantum theory, of a wave function on the configuration space of a many-particle system. It accounts for all of the phenomena governed by nonrelativistic quantum mechanics, from spectral lines and scattering theory to superconductivity, the quantum Hall effect and quantum computing. In particular, the usual measurement postulates of quantum theory, including collapse of the wave function and probabilities given by the absolute square of probability amplitudes, emerge from an analysis of the two equations of motion: Schrödinger's equation and the guiding equation. No invocation of a special, and somewhat obscure, status for observation is required" (Stanford Encyclopedia of Philosophy). Bookseller Inventory # ABE-1475170792601

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Bohm, David
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Book Description 1952. Book Condition: VG. Three articles in two complete issues of The Physical Review. First two in volume 85 second series. number 2, January 15, 1952 on pp. 166-192. Third article is in Physical Review 89, no 2. January 15, 1953 on pp. 458-466 first edition. 4to. Green printed wraps. Both issues are VG plus, text clean and binding secure. Just light fading of backstrip. No ownership marks; almost no wear. Pair: Bookseller Inventory # a91040

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5.

Bohm, David
Published by American Physical Society, Lancaster (1852)
Used First Edition Quantity Available: 1
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Atticus Rare Books
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Book Description American Physical Society, Lancaster, 1852. 1st Edition. FIRST EDITION IN ORIGINAL WRAPS of both parts I and II of David Bohm's deterministic Hidden Variables Approach to Quantum Theory. Bohm's 'Hidden Variables' interpretation is the basis of the De Broglie-Bohm Theory (or Bohmian Mechanics) and extends the Pilot Wave Theory to cover multiple particles. Bohm published an account of quantum theory that was fully deterministic, but which gave exactly the same experimental predictions as those of conventional quantum mechanics. In this theory, probabilities arise from ignorance of certain details. This remarkable discovery led John Bell to re-examine von Neumann's argument stating that this was impossible and to exhibit the flawed assumption on which this erroneous conclusion had been based" (Polkinghorne, Quantum Theory). ALSO included is Bohm and Pine's seminal quartet of papers, "A Collective Description of Electron Interactions: II. Collective vs. Individual Particle Aspects of the Interactions." The papers illustrate the Bohm-Pines idea that the physics of the electron fluid can be divided up into high-energy collective "plasmon modes" and low energy electron quasiparticles. In this landmark group of papers, Bohm and Pines realized that they could realized that they could separate the strongly interacting gas via a unitary transformation into two well-separated sets of excitations, high-energy collective oscillations of the electron gas, called plasmons, and low energy electrons. The Pines-Bohm paper is a progenitor of the idea of renormalization: the idea that high-energy modes of the system can be successively eliminated to give rise to a renormalized picture of the residual low energy excitations. Part II present here specifically breaks the theoretical practice into six elements. ALSO included in this volume is C. N. Yang's seminal paper "The Spontaneous Magnetization of a Two-Dimensional Ising Model" in which the model is calculated exactly with the result also giving the long-range order in the lattice. This is the first publication of a derivation for the square lattice and Yang's proof is considered a mathematical tour-de-force. ALSO included are the following other papers of great import: Deutsch and Brown's letter "Zeeman Effect and Hyperfine Splitting of Positronium" and Bethe and Butler's "A Proposed Test of the Nuclear Shell Model." CONDITION & DETAILS: Lancaster: American Physical Society. Volume 85, 1952. Quarto. (10.5 x 8 inches; 262 x 200mm). Original wraps, complete issue housed in custom maroon cloth covered box that is gilt-lettered at the spine and on the front board. Minor fading around the edges of the journal issue; professional repair at the spine. Bright and clean within. Very good condition. Bookseller Inventory # 405

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