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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
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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
Links to Related Works
Subject References:
Algebra
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Applications of Mathematics
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Applied mathematics
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Engineering mathematics
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Functional Analysis
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Linear and Multilinear Algebras, Matrix Theory
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Matrix theory
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Physics
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Quantum Physics
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Theoretical, Mathematical and Computational Physics
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Authors:
Steeb, Willi-Hans
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications
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Classification:
530.1
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