Lectures On Quantum Theory: Mathematical And Structural FoundationsWorld Scientific, 1 sep 1995 - 276 pagina's This book is based on material taught to final-year physics undergraduates as part of the theoretical physics option at Imperial College. After a self-contained introduction to the essential ideas of vector spaces and linear operators, a bridge is built between the concepts and mathematics of classical physics, and the new mathematical framework employed in quantum mechanics. The axioms of nonrelativistic quantum theory are introduced, and shown to lead to a variety of new conceptual problems. Subjects discussed include state-vector reduction, the problem of measurement, quantum entanglement, the Kochen-Specker theorem, and the Bell inequalities. The book includes twenty-five problems with worked solutions. |
Inhoudsopgave
1 | |
Chapter 2 VECTOR SPACES | 11 |
Chapter 3 LINEAR OPERATORS | 37 |
Chapter 4 PROPERTIES IN CLASSICAL PHYSICS | 53 |
Chapter 5 THE GENERAL FORMALISM OF QUANTUM THEORY | 67 |
Chapter 6 TECHNICAL DEVELOPMENTS | 89 |
Chapter 7 UNITARY OPERATORS IN QUANTUM THEORY | 109 |
Chapter 8 SOME CONCEPTUAL ISSUES IN QUANTUM THEORY | 129 |
Chapter 9 PROPERTIES IN QUANTUM PHYSICS | 161 |
PROBLEMS ANSWERS | 187 |
207 | |
211 | |
Overige edities - Alles bekijken
Lectures On Quantum Theory Mathematical And Structural Foundations Chris J. Isham Gedeeltelijke weergave - 2001 |
Lectures on Quantum Theory: Mathematical and Structural Foundations C. J. Isham Geen voorbeeld beschikbaar - 1995 |
Lectures On Quantum Theory Mathematical And Structural Foundations Chris J. Isham Geen voorbeeld beschikbaar - 2001 |
Veelvoorkomende woorden en zinsdelen
analogue angular momentum approach to quantum arise associated basic basis set classical physics complex numbers composite system concept condition Eq context corresponding defined definition denotes density matrix dimension Dirac discussion eigenfunctions eigenspace eigenstates eigenvalues eigenvectors electron equivalent example exists finite formalism generalised hence hidden variables Hilbert space idea implies important individual system inequality infinite-dimensional instrumentalist interpretation of quantum linear combination linear subspace logic mathematical meaning normalised Note observable orthogonal orthonormal basis set particle particular physical quantity predictions Prob(A probabilistic probability problem projection operator projector properties proposition quantisation quantum entanglement quantum system quantum theory quantum-mechanical real numbers realist reduction relative-frequency repeated measurements respectively results of measurements role rules satisfy scalar product Schrödinger equation Section self-adjoint operator sense ſº space H spin structure subset superposition uncertainty relations unitary operator value function vector iſ vector space wave functions wave mechanics