The book Mathematical Foundations of Quantum Mechanics, released in which year, by John von Neumann?
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Mathematical Foundations of Quantum Mechanics The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory.
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John von Neumann John von Neumann ( ; Hungarian: "Neumann János Lajos" , ] ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, and computer scientist. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.
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Calculating Space Calculating Space is the title of MIT's English translation of Konrad Zuse's 1969 book Rechnender Raum (literally: "space that is computing"), the first book on digital physics.
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Fock space The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical particles from a single particle Hilbert space H . It is named after V. A. Fock who first introduced it in his 1932 paper "Konfigurationsraum und zweite Quantelung".
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Wigner's theorem Wigner's theorem, proved by Eugene Wigner in 1931, is a cornerstone of the mathematical formulation of quantum mechanics. The theorem specifies how physical symmetries such as rotations, translations, and CPT are represented on the Hilbert space of states.
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Neumann polynomial In mathematics, a Neumann polynomial, introduced by Carl Neumann for the special case formula_1, is a polynomial in 1/"z" used to expand functions in term of Bessel functions.
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Bethe–Salpeter equation The Bethe–Salpeter equation (named after Hans Bethe and Edwin Salpeter) describes the bound states of a two-body (particles) quantum field theoretical system in a relativistically covariant formalism. The equation was actually first published in 1950 at the end of a paper by Yoichiro Nambu, but without derivation.
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Remarks on the Foundations of Mathematics Remarks on the Foundations of Mathematics (German: "Bemerkungen über die Grundlagen der Mathematik" ) is a book of Ludwig Wittgenstein's notes on the philosophy of mathematics. It has been translated from German to English by G.E.M. Anscombe, edited by G.H. von Wright and Rush Rhees, and published first in 1956. The text has been
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Constructive quantum field theory In mathematical physics, "constructive quantum field theory" is the field whose objective is to establish existence theorems for models of quantum field theory. Such theorems were proved in the 1960s and 1970s for quantum field theory models in two and three dimensional space-times in the papers by James Glimm, Arthur Jaffe, Irving Segal, Edward Nelson, and others. The main goal of constructive quantum field theory, an existence proof of non-trivial quantum field theory models in a four dimensional space-time, has not been reached. In the meantime, the theoretical physics community came to believe that the current state of the art quantum field theory models are merely effective models rather than fundamental theories, whose mathematical status is of little practical relevance, and interest in constructive quantum field theory has waned.
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Franz Ernst Neumann Franz Ernst Neumann (11 September 1798 – 23 May 1895) was a German mineralogist, physicist and mathematician.
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Categorical quantum mechanics Categorical quantum mechanics is the study of quantum foundations and quantum information using paradigms from mathematics and computer science, notably monoidal category theory. The primitive objects of study are physical processes, and the different ways that these can be composed. It was pioneered in 2004 by Abramsky and Coecke.
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Quantum probability Quantum probability was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes. One of its aims is to clarify the mathematical foundations of quantum theory and its statistical interpretation.
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Dirac equation In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin- massive particles such as electrons and quarks for which parity is a symmetry. It is consistent with both the principles of quantum mechanics and the theory of special relativity, and was the first theory to account fully for special relativity in the context of quantum mechanics. It was validated by accounting for the fine details of the hydrogen spectrum in a completely rigorous way.
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Automatic Computing Engine The Automatic Computing Engine (ACE) was an early electronic stored-program computer designed by Alan Turing. The project was managed by John R. Womersley, superintendent of the Mathematics Division of the National Physical Laboratory (NPL). The use of the word "Engine" was in homage to Charles Babbage and his Difference Engine and Analytical Engine. Turing's technical design "Proposed Electronic Calculator" was the product of his theoretical work in 1936 "On Computable Numbers" and his wartime experience at Bletchley Park where the Colossus computers had been successful in breaking German military codes. In his 1936 paper, Turing described his idea as a "universal computing machine", but it is now known as the Universal Turing machine.
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Walter Heitler Walter Heinrich Heitler (] ; 2 January 1904 – 15 November 1981) was a German physicist who made contributions to quantum electrodynamics and quantum field theory. He brought chemistry under quantum mechanics through his theory of valence bonding.
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Quantum In physics, a quantum (plural: quanta) is the minimum amount of any physical entity involved in an interaction. The fundamental notion that a physical property may be "quantized" is referred to as "the hypothesis of quantization". This means that the magnitude of the physical property can take on only certain discrete values.
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P-adic quantum mechanics "p"-adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p-adic analysis to quantum mechanics. The p-adic numbers are a counterintuitive arithmetic system that was discovered by the German mathematician Kurt Hensel in about 1899. The closely related adeles and ideles were introduced in the 1930s by Claude Chevalley and André Weil. Their study has now transformed into a major branch of mathematics. They were occasionally applied to the physical sciences, but it wasn't until a publication by the Russian mathematician Igor Volovich in 1987 that the subject was taken seriously. There are now hundreds of research articles on the subject, along with international journals as well.
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Landau–Zener formula The Landau–Zener formula is an analytic solution to the equations of motion governing the transition dynamics of a 2-level quantum mechanical system, with a time-dependent Hamiltonian varying such that the energy separation of the two states is a linear function of time. The formula, giving the probability of a diabatic (not adiabatic) transition between the two energy states, was published separately by Lev Landau, Clarence Zener, Ernst Stueckelberg, and Ettore Majorana, in 1932.
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David Deutsch David Elieser Deutsch, FRS (born 18 May 1953), is an Israeli-born British physicist at the University of Oxford. He is a Visiting Professor in the Department of Atomic and Laser Physics at the Centre for Quantum Computation (CQC) in the Clarendon Laboratory of the University of Oxford. He pioneered the field of quantum computation by formulating a description for a quantum Turing machine, as well as specifying an algorithm designed to run on a quantum computer. He is a proponent of the many-worlds interpretation of quantum mechanics.
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Max Newman Maxwell Herman Alexander "Max" Newman, FRS (7 February 1897 – 22 February 1984) was a British mathematician and codebreaker. His work in World War II led to the construction of Colossus, the world's first operational, programmable electronic computer, and he established the Royal Society Computing Machine Laboratory at the University of Manchester which produced the world's first working, modern stored program electronic computer in 1948, the Manchester Small-Scale Experimental Machine.
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Quantum Reality Quantum Reality is a 1985 popular science book by physicist Nick Herbert, a member the Fundamental Fysiks Group which was formed to explore the philosophical implications of quantum theory. The book attempts to address the ontology of quantum objects, their attributes, and their interactions, without reliance on advanced mathematical concepts. Herbert discusses the most common interpretations of quantum mechanics and their consequences in turn, highlighting the conceptual advantages and drawbacks of each.
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Schrödinger's Kittens and the Search for Reality Schrödinger's Kittens and the Search for Reality is a 1995 book by John Gribbin, in which Gribbin attempts to explain the mysteries of modern quantum mechanics in a popular-scientific way. It is a sequel to his earlier book, "In Search of Schrödinger's Cat" (1984).