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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R2,645
Discovery Miles 26 450
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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Mathematics and Its Applications, 451
Expected to ship within 18 - 22 working days
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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.
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