• The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical...
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  • It is an important early work in the development of the mathematical formulation of quantum mechanics. The book mainly summarizes results that von Neumann...
    19 KB (2,146 words) - 07:00, 10 June 2025
  • In mathematical physics, the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operators on a Hilbert space. They...
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  • of great importance in itself. For further information, see C*-algebra and Gelfand–Naimark theorem. The mathematical formulation of quantum mechanics...
    27 KB (3,595 words) - 11:49, 22 April 2025
  • In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manip­ulation of propositions...
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  • In physics, relativistic quantum mechanics (RQM) is any Poincaré-covariant formulation of quantum mechanics (QM). This theory is applicable to massive...
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  • Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation (2 ed.). Springer...
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    in the articles bra–ket notation and mathematical formulation of quantum mechanics. Consider two arbitrary quantum systems A and B, with respective Hilbert...
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  • probabilistic nature of quantum mechanics by introducing additional, possibly inaccessible, variables. The mathematical formulation of quantum mechanics assumes that...
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    present a mathematical formulation of quantum mechanics and survey its application to some useful and oft-studied examples. In the mathematically rigorous...
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  • Thumbnail for Wave function
    In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...
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  • of quantum mechanics is a fundamental part of the history of modern physics. The major chapters of this history begin with the emergence of quantum ideas...
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    and quantum statistical mechanics has motivated results in operator algebras. The attempt to construct a rigorous mathematical formulation of quantum field...
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  • Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925. It was the first conceptually...
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  • Madelung equations Fresnel integral Mathematical formulation of quantum mechanics Quantum chaos Quantum decoherence Quantum limit Semiclassical physics Wigner–Weyl...
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  • of mathematical topics in quantum theory, by Wikipedia page. See also list of functional analysis topics, list of Lie group topics, list of quantum-mechanical...
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  • Thumbnail for Wave function collapse
    of quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several...
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  • Quantum mechanics is the study of matter and its interactions with energy on the scale of atomic and subatomic particles. By contrast, classical physics...
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  • interpretation of quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics might correspond to experienced reality. Quantum mechanics...
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  • Thumbnail for Eugene Wigner
    Eugene Wigner (category Mathematical physicists)
    mathematics, in which he authored a number of mathematical theorems. In particular, Wigner's theorem is a cornerstone in the mathematical formulation...
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  • The phase-space formulation is a formulation of quantum mechanics that places the position and momentum variables on equal footing in phase space. The...
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  • Thumbnail for Path integral formulation
    path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces the...
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  • In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction...
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  • and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related formulations of classical mechanics. Analytical...
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  • probability involves combining a quantum state, which mathematically describes a quantum system, with a mathematical representation of the measurement to be performed...
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  • and the Hilbert space formulation of quantum mechanics (attributed by von Neumann to Paul Dirac). In this formulation, the state of a physical system corresponds...
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  • Thumbnail for Many-worlds interpretation
    The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that...
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  • physics, mechanics is the study of objects, their interaction, and motion; classical mechanics is mechanics limited to non-relativistic and non-quantum approximations...
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  • aspect of quantum mechanics that Niels Bohr regarded as an essential feature of the theory. The complementarity principle holds that certain pairs of complementary...
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  • study of forces and their effect on motion. It is a branch of classical mechanics, along with statics and kinematics. The fundamental principle of dynamics...
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