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Hilbert Räume, Wavelets, generalisierte Funktionen und moderne Quantenmechanik -
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eBay-Artikelnr.:335217274704
Artikelmerkmale
- Artikelzustand
- PublishedOn
- 2013-12-31
- Title
- Hilbert Spaces, Wavelets, Generalised Functions and Modern Quant
- ISBN
- 9789401062411
- Subject Area
- Mathematics, Science
- Publication Name
- Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
- Publisher
- Springer Netherlands
- Item Length
- 9.4 in
- Subject
- Physics / Quantum Theory, Applied, Physics / Mathematical & Computational
- Publication Year
- 2012
- Series
- Mathematics and Its Applications Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 14.4 Oz
- Item Width
- 6.3 in
- Number of Pages
- X, 238 Pages
Über dieses Produkt
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
9401062412
ISBN-13
9789401062411
eBay Product ID (ePID)
175745212
Product Key Features
Number of Pages
X, 238 Pages
Language
English
Publication Name
Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
Publication Year
2012
Subject
Physics / Quantum Theory, Applied, Physics / Mathematical & Computational
Type
Textbook
Subject Area
Mathematics, Science
Series
Mathematics and Its Applications Ser.
Format
Trade Paperback
Dimensions
Item Weight
14.4 Oz
Item Length
9.4 in
Item Width
6.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Series Volume Number
451
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.12
Table Of Content
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.
Synopsis
This book provides an introduction to Hilbert space theory, Fourier transform and wavelets, linear operators, generalized functions and quantum mechanics. Although quantum mechanics has been developed between 1925 and 1930 in the last twenty years a large number of new aspect and techniques have been introduced. The book also covers these new fields in quantum mechanics. In quantum mechanics the basic mathematical tools are the theory of Hilbert spaces, the theory of linear operators, the theory of generalized functions and Lebesgue inte- gration theory. Many excellent textbooks have been written on Hilbert space theory and linear operators in Hilbert spaces. Comprehensive surveys of this subject are given by Weidmann 68], Prugovecki 47], Yosida 69], Kato 31], Richtmyer 49], Sewell 54] and others. The theory of generalized functions is also well covered in good textbooks (Gelfand and Shilov 25], Vladimirov 67]. Furthermore numerous textbooks on quantum mechanics exist (Dirac 17], Landau and Lifshitz 36], Mes- siah 41], Gasiorowicz 24], Schiff 51], Eder 18] and others). Besides these books there are several problem books on quantum mechanics (Fliigge 22], Constantinescu and Magyari 15], ter Haar 64], Mavromatis 39], Steeb 59], Steeb 60], Steeb 61]) and others). Computer algebra implementations of quantum mechanical problems are described by Steeb 59]. Unfortunately, many standard textbooks on quantum mechanics neglect the math- ematical background. The basic mathematical tools to understand quantum me- chanics should be fully integrated into an education in quantum mechanics., This book provides an introduction to Hilbert space theory, Fourier transform and wavelets, linear operators, generalized functions and quantum mechanics. Although quantum mechanics has been developed between 1925 and 1930 in the last twenty years a large number of new aspect and techniques have been introduced. The book also covers these new fields in quantum mechanics. In quantum mechanics the basic mathematical tools are the theory of Hilbert spaces, the theory of linear operators, the theory of generalized functions and Lebesgue inte gration theory. Many excellent textbooks have been written on Hilbert space theory and linear operators in Hilbert spaces. Comprehensive surveys of this subject are given by Weidmann [68], Prugovecki [47], Yosida [69], Kato [31], Richtmyer [49], Sewell [54] and others. The theory of generalized functions is also well covered in good textbooks (Gelfand and Shilov [25], Vladimirov [67]. Furthermore numerous textbooks on quantum mechanics exist (Dirac [17], Landau and Lifshitz [36], Mes siah [41], Gasiorowicz [24], Schiff [51], Eder [18] and others). Besides these books there are several problem books on quantum mechanics (Fliigge [22], Constantinescu and Magyari [15], ter Haar [64], Mavromatis [39], Steeb [59], Steeb [60], Steeb [61]) and others). Computer algebra implementations of quantum mechanical problems are described by Steeb [59]. Unfortunately, many standard textbooks on quantum mechanics neglect the math ematical background. The basic mathematical tools to understand quantum me chanics should be fully integrated into an education in quantum mechanics.
LC Classification Number
QC19.2-20.85
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