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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics de W. -H. Steeb

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics: Mathematics and Its Applications, cartea 451

Autor W. -H. Steeb
en Limba Engleză Paperback – 11 oct 2012

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Specificații

ISBN-13: 9789401062411
ISBN-10: 9401062412
Pagini: 252
Ilustrații: X, 238 p.
Dimensiuni: 160 x 240 x 14 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st ed. 1998
Editura: Springer
Colecția Mathematics and its Applications
Seria Mathematics and Its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

1 Hilbert Spaces.- 2 Fourier Transform and Wavelets.- 3 Linear Operators in Hilbert Spaces.- 4 Generalized Functions.- 5 Classical Mechanics and Hamilton Systems.- 6 Postulates of Quantum Mechanics.- 7 Interaction Picture.- 8 Eigenvalue Problem.- 8.1 Eigenvalue Equation.- 8.2 Applications.- 9 Spin Matrices and Kronecker Product.- 10 Parity and Group Theory.- 11 Uncertainty Relation.- 12 Harmonic Oscillator.- 12.1 Classical Case.- 12.2 Quantum Case.- 13 Coherent and Squeezed States.- 14 Angular Momentum and Lie Algebras.- 15 Two-Body Bound State Problem.- 15.1 Introduction.- 15.2 Spherical Oscillator.- 15.3 Hydrogen-like Atoms.- 16 One-Dimensional Scattering.- 17 Solitons and Quantum Mechanics.- 18 Perturbation Theory.- 19 Helium Atom.- 20 Potential Scattering.- 21 Berry Phase.- 22 Measurement and Quantum States.- 22.1 Introduction.- 22.2 Measurement Problem.- 22.3 Copenhagen Interpretation.- 22.4 Hidden Variable Theories.- 22.5 Everett Interpretation.- 22.6 Basis Degeneracy Problem.- 23 Quantum Computing.- 23.1 Introduction.- 23.2 Quantum Bit.- 23.3 Quantum Gates.- 23.4 Quantum Copying.- 23.5 Shor’s Algorithm.- 24 Lebesgue Integration and Stieltjes Integral.