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Problems in Quantum Theory of Many-Particle Systems : lecture note

Léon Van Hove, Nicolaas Marinus Hugenholtz, L. P. Howland

Published Jan 1, 1961• 0 citations
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On the Problem of Communication among Scientists: Frontiers in Physics . A lecture and reprint series. David Pines, Ed. Problems in Quantum Theory of Many Particle Systems , L. van Hove, N. M. Hugenholtz, and L. P. Howland (259 pp.); The Many-Body Problem, David Pines, Ed. (469 pp.); S-Matrix Theory of Strong Interactions, Geoffrey F. Chew (192 pp.); The Theory of Fundamental Processes, R. P. Feynmann and H. T. Yura (182 pp.); Quantum Electrodynamics, R. P. Feynmann. Notes corrected by E. R. Huggins and Y. T. Yara (208 pp.); Nuclear Magnetic Relaxation, N. Bloembergen (187 pp.); The Mössbauer Effect, Hans Frauenfelder (350 pp.). Benjamin, New York, 1962. Paper, $3.95 each.

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Lecture Notes (LN)

Hanoch Gutfreund, Jürgen Renn

Abstract This chapter presents Bohm’s 1957 lectures notes in a careful transcription, indicating the original page breaks and reproducing the figures of the original typescript. The lecture notes begin with a dialectical interpretation of the unity of opposites, like discrete and continuous properties, or wave and particle concepts, followed by a detailed description of the Heisenberg-Bohr (Copenhagen) interpretation of quantum mechanics. The latter is explained and criticized, featuring the introduction of Bohm’s notion of a subquantum level as a viable alternative. Bohm sees this alternative in the context of his notion of the infinity of nature, encouraging researchers to transcend the boundaries of established theories. The second part of the lecture notes deals with more general philosophical issues related to scientific theories in light of the cornerstone principles of Hegel’s dialectical philosophy in its materialistic version.

•Nov 4, 2025•0 citations
Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. This volume, Quantum Mechanics: Lecture Notes, is intended to be the basis for a two-semester graduate-level course. It starts from a coverage of numerous wave-mechanical effects in one- and multi-dimensional systems (notably including the energy band theory), and only then proceeds to the bra-ket formalism necessary for discussion of more advanced topics including particle spin, as well as open and multi-particle quantum systems. The volume also includes a section on quantum computation and cryptography, and ends with a special chapter on quantum measurements and interpretations of quantum mechanics.
On the Problem of Communication among Scientists: Frontiers in Physics . A lecture and reprint series. David Pines, Ed. Problems in Quantum Theory of Many Particle Systems , L. van Hove, N. M. Hugenholtz, and L. P. Howland (259 pp.); The Many-Body Problem, David Pines, Ed. (469 pp.); S-Matrix Theory of Strong Interactions, Geoffrey F. Chew (192 pp.); The Theory of Fundamental Processes, R. P. Feynmann and H. T. Yura (182 pp.); Quantum Electrodynamics, R. P. Feynmann. Notes corrected by E. R. Huggins and Y. T. Yara (208 pp.); Nuclear Magnetic Relaxation, N. Bloembergen (187 pp.); The Mössbauer Effect, Hans Frauenfelder (350 pp.). Benjamin, New York, 1962. Paper, $3.95 each.
Abstract This chapter presents Bohm’s 1957 lectures notes in a careful transcription, indicating the original page breaks and reproducing the figures of the original typescript. The lecture notes begin with a dialectical interpretation of the unity of opposites, like discrete and continuous properties, or wave and particle concepts, followed by a detailed description of the Heisenberg-Bohr (Copenhagen) interpretation of quantum mechanics. The latter is explained and criticized, featuring the introduction of Bohm’s notion of a subquantum level as a viable alternative. Bohm sees this alternative in the context of his notion of the infinity of nature, encouraging researchers to transcend the boundaries of established theories. The second part of the lecture notes deals with more general philosophical issues related to scientific theories in light of the cornerstone principles of Hegel’s dialectical philosophy in its materialistic version.