Mathematical Foundations of Quantum Mechanics (eBook)

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2018 | New Edition
328 Seiten
Princeton University Press (Verlag)
978-1-4008-8992-1 (ISBN)

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Mathematical Foundations of Quantum Mechanics -  John von Neumann
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Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of Leon Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics.

John von Neumann (1903–57) was one of the most important mathematicians of the twentieth century. His work included fundamental contributions to mathematics, physics, economics, and the development of the atomic bomb and the computer. He was a founding member of the Institute for Advanced Study in Princeton. Nicholas A. Wheeler is a mathematical physicist and professor emeritus of physics at Reed College.

Reihe/Serie Princeton Landmarks in Mathematics and Physics
Princeton Landmarks in Mathematics and Physics
Übersetzer Robert T. Beyer
Zusatzinfo 5 b/w illus.
Verlagsort Princeton
Sprache englisch
Themenwelt Naturwissenschaften Physik / Astronomie Quantenphysik
Schlagworte abstract Hilbert space • Affine space • A priori probability • Atomic model (mathematical logic) • Atomic Nucleus • Calculation • causal and statistical methods • causal change • Causal relations • classical electromagnetism • classical limit • classical mechanics • closed linear manifolds • Coherence (physics) • commutative operators • commutative property • composite systems • Decidability (logic) • deductive development • Degrees of freedom (statistics) • differential equation • Dimensional Analysis • Dirac delta function • Dirac equation • Distribution (mathematics) • Eigenfunction • eigenvalue problem • Eigenvalues and Eigenvectors • Einstein notation • Energy • Ensemble average (statistical mechanics) • Equation of State • Equation of state (cosmology) • Equations of motion • Erwin Schrödinger • Expectation value (quantum mechanics) • Fermi–Dirac statistics • Geometry • Gibbs paradox • hamiltonian mechanics • hilbert space • H-Theorem • Independence (probability theory) • integral equation • Interpretations of quantum mechanics • kinetic theory of gases • laws of thermodynamics • Limit (mathematics) • linear differential equation • Lorentz transformation • macroscopic measurement • Mathematical Analysis • mathematical basis • mathematical equations • Mathematical formulation of quantum mechanics • mathematical foundations of quantum mechanics • Mathematical problem • Mathematical Proof • mathematical structure • mathematical tools • mathematician • Mathematics • Matrix Mechanics • Matrix theory (physics) • Max Born • Maxwell–Boltzmann distribution • Measure (mathematics) • Measurement • measuring process • Mechanics • Modern Physics • Nature • old quantum theory • Operator (physics) • operator theory • Orthonormality • Pascual Jordan • Paul Dirac • Phase space • Photon • physicist • Physics • Planck constant • Probability • Probability Theory • Projection (linear algebra) • Pure Mathematics • Quantity • quantum field theory • quantum mechanical ensembles • quantum mechanical literature • quantum mechanics • Quantum number • quantum state • Quantum Statistics • quantum superposition • quantum system • Quantum Theory • quantum thermodynamics • Radiation Theory • Relativistic Quantum Mechanics • reversibility • Scalar (physics) • second law of thermodynamics • Self-adjoint operator • Set (mathematics) • Sign (mathematics) • simultaneous measurability • Special relativity • Spectral Theorem • States • State-space Representation • statistical ensemble • Statistical ensemble (mathematical physics) • Statistical Formulas • Statistical Mechanics • statistical relations • Statistical Theory • Statistics • Symmetry operation • Theorem • Theoretical definition • theoretical physics • theory • Theory of relativity • Thermodynamic Equilibrium • thermodynamic observations • thermodynamics • transformation theory • Transformation theory (quantum mechanics) • Uncertainty Principle • uncertainty relations • Unification (computer science) • Unitary matrix • Variable (mathematics) • wave equation • wave function • wave mechanical method • wave mechanics • Wave–particle duality • Werner Heisenberg
ISBN-10 1-4008-8992-8 / 1400889928
ISBN-13 978-1-4008-8992-1 / 9781400889921
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