Overview

A comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalized function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. The text should be suitable for graduate students in physics and mathematics.

Full Product Details

Author:   W.-H. Steeb
Publisher:   Springer
Imprint:   Springer
Edition:   1998 ed.
Volume:   451
Dimensions:   Width: 17.00cm , Height: 1.50cm , Length: 24.40cm
Weight:   1.180kg
ISBN:  

9780792352310

ISBN 10:   0792352319
Pages:   238
Publication Date:   30 September 1998
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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