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John von Neumann

Mathematical Foundations of Quantum Mechanics

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A01=John von Neumann
Applied mathematics
Atomic theory
Author_John von Neumann
Bayes' theorem
Bayesian probability
Calculation
Capability (systems engineering)
Category=PBKF
Category=PHQ
Causality
Classical electromagnetism
Classical mechanics
Classical physics
Cognitive psychology
Cognitive science
Coherence (physics)
Commutative property
Decision-making
Degrees of freedom (physics and chemistry)
Eigenvalues and eigenvectors
Einstein notation
Electromagnetism
Energy operator
eq_isMigrated=1
eq_isMigrated=2
eq_non-fiction
eq_science
Equation
Equation of state (cosmology)
Expectation value (quantum mechanics)
Fermi–Dirac statistics
Hamiltonian mechanics
Hilbert space
Interpretations of quantum mechanics
Laboratory experimentation
Laws of thermodynamics
Limiting case (mathematics)
Mathematical analysis
Mathematical formulation of quantum mechanics
Mathematical structure
Matrix (mathematics)
Matrix mechanics
Matrix theory (physics)
Measurement
Molecule
Nuclear warfare
Nuclear weapon
Old quantum theory
Operator (physics)
Philosophy
Photon
Physics
Probability
Proportionality (mathematics)
Quantity
Quantum mechanics
Quantum number
Quantum superposition
Riemann integral
Scientific notation
Second law of thermodynamics
Self-adjoint operator
Sign (mathematics)
Statistical ensemble (mathematical physics)
Strategic nuclear weapon
Tautology (logic)
The Principles of Quantum Mechanics
Theorem
Theoretical definition
Theoretical physics
Theory
Theory of relativity
Thermodynamic equilibrium
Thermodynamics
Transformation theory (quantum mechanics)
Uncertainty
Variable (computer science)

Product details

  • ISBN 9780691028934
  • Weight: 652g
  • Dimensions: 152 x 235mm
  • Publication Date: 17 Nov 1996
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
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Description
Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.