Mathematical formulation of quantum mechanics
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space. Such are distinguished from mathematical formalisms for physics theories developed prior to the early 1900s by the use of abstract mathematical structures, such as infinite-dimensional Hilbert spaces (L2 space mainly), and operators on these spaces. In brief, values of physical observables such as energy and momentum were no longer considered as values of functions on phase space, but as eigenvalues; more precisely as spectral values of linear operators in Hilbert space.
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AdS/CFT correspondenceAmplitude amplificationCanonical commutation relationClassical limitComplemented latticeComplete set of commuting observablesComplex numberCorrespondence principleDavid HilbertDecomposition of spectrum (functional analysis)Dirac–von Neumann axiomsEffect algebraEquations of motionEugene WignerFreeman_DysonFunctional analysisGeorge MackeyGlossary of elementary quantum mechanicsGrover's algorithmHamiltonian (quantum mechanics)Hellinger–Toeplitz theoremHermann_WeylHidden-variable theoryHilbert spaceIdentical particlesIndex of physics articles (M)Interpretations of quantum mechanicsIntroduction to Quantum Mechanics (book)Johndale SolemLaura RuetscheList of functional analysis topicsList of mathematical topics in quantum theoryMath of QMMathematical Foundations of Quantum MechanicsMathematical description of quantum mechanicsMathematical formulations of quantum mechanicsMathematical foundation of quantum field theoryMaths of QMMatrix (mathematics)No-cloning theorem
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Mathematical formulation of quantum mechanics
The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space. Such are distinguished from mathematical formalisms for physics theories developed prior to the early 1900s by the use of abstract mathematical structures, such as infinite-dimensional Hilbert spaces (L2 space mainly), and operators on these spaces. In brief, values of physical observables such as energy and momentum were no longer considered as values of functions on phase space, but as eigenvalues; more precisely as spectral values of linear operators in Hilbert space.
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Cet article traite des postula ...... par l'équation de Schrödinger.
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De wiskundige structuur van de ...... lineaire in de Hilbertruimte.
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I postulati della meccanica qu ...... ntistica in forma assiomatica.
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La aksiomoj de kvantuma mekani ...... observeblaĵoj, kaj tempevoluo.
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La formulació matemàtica rigor ...... aquests postulats fonamentals.
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La formulación matemática rigu ...... e se resume dicha formulación.
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Mekanika kuantikoaren formulaz ...... spazioan formulatua izan zena.
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Postulaty mechaniki kwantowej ...... nie zgodność z doświadczeniem.
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The mathematical formulations ...... on the classical phase space.
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Математические основы квантово ...... них символа постоянной Планка.
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Every measurable physical quan ...... igenvectors form a basis for .
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If the measurement of the phys ...... eigensubspace associated with
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The result of measuring a phys ...... the corresponding observable .
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The state of an isolated physi ...... space called the state space.
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The time evolution of the stat ...... the total energy of the system
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When the physical quantity is ...... he appropriate wave function .
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Cet article traite des postula ...... dans la suite de cet article:
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De wiskundige structuur van de ...... de faseruimte, maar als eigen
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I postulati della meccanica qu ...... ntistica in forma assiomatica.
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La aksiomoj de kvantuma mekani ...... observeblaĵoj, kaj tempevoluo.
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La formulació matemàtica rigor ...... aquests postulats fonamentals.
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La formulación matemática rigu ...... e se resume dicha formulación.
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Mekanika kuantikoaren formulaz ...... ideratzen ziren -en espazioan.
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Postulaty mechaniki kwantowej ...... nie zgodność z doświadczeniem.
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The mathematical formulations ...... ar operators in Hilbert space.
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Математические основы квантово ...... них символа постоянной Планка.
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Aksiomoj de kvantuma mekaniko
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Fundamentos matemáticos da mecânica quântica
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Mathematical formulation of quantum mechanics
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Mathematische Struktur der Quantenmechanik
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Mekanika kuantikoaren formulazio matematikoa
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Postulados de la mecánica cuántica
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Postulati della meccanica quantistica
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Postulats de la mecànica quàntica
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Postulats de la mécanique quantique
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Postulaty mechaniki kwantowej
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