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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
Catalogue Information
Field name Details
Dewey Class 530.1
Title Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics ([EBook] /) / by Willi-Hans Steeb.
Author Steeb, Willi-Hans
Other name(s) SpringerLink (Online service)
Publication Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1998.
Physical Details X, 238 p. : online resource.
Series Mathematics and its applications ; 451
ISBN 9789401153324
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-94-011-5332-4
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