By Dr Shahn Majid

ISBN-10: 0521460328

ISBN-13: 9780521460323

It is a graduate-level textual content that systematically develops the principles of the topic. Quantum teams (i.e. Hopf algebras) are taken care of as mathematical gadgets of their personal correct; easy houses and theorems are confirmed intimately from this viewpoint, together with the consequences underlying key functions. After formal definitions and simple concept, the e-book is going directly to hide such themes as quantum enveloping algebras, matrix quantum teams, combinatorics, move items of varied varieties, the quantum double, the semiclassical thought of Poisson-Lie teams, the illustration concept, braided teams and functions to q-deformed physics. the categorical proofs and an exceptional many labored examples and workouts will enable readers to speedy decide up the innovations wanted for operating during this interesting new box.

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**Extra info for Foundations of Quantum Group Theory**

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38 38 39 40 40 41 41 44 46 46 46 47 48 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 The Application of Quantum Mechanics INTRODUCTION Consider the hydrogen molecule, H–H. 674 × 10−27 kg and their nuclei are separated by a bond of length ∼74 × 10−12 m. In actual fact, this is the equilibrium bond length of the molecule, for this minute entity is in constant vibration with a frequency of ∼132 × 1012 oscillations per second.

3 Linear momentum, pˆ x . . . . . . . . . . . . 4 Kinetic energy, Wˆ . . . . . . . . . . . . . 5 Angular momentum, Lˆ . . . . . . . . . . . Summary . . . . . . . . . . . . . . . . . . . Bibliography and further reading . . . . . . . . . . . Problems for Chapter 3 . . . . . . . . . . . . . . The Quantum in Chemistry R. Grinter 2005 John Wiley & Sons, Ltd . . . . . . . . . . . .

The lowest spectrum is that of copper and the one immediately above it is iron. The remainder are the spectra of ore samples. 7 Some atomic emission spectra‡ ‡ Christian, Analytical Chemistry, 5th edn, Reprinted with permission of John Wiley & Sons, Inc. 24 From Classical to Quantum Mechanics But in the ﬁrst decade of the 20th century the sharp lines of the atomic spectrum constituted a theoretical problem of great difﬁculty. Throughout this decade experimental evidence concerning the structure of the atom was accumulating and in 1911 Ernest Rutherford (1871–1937) proposed a model of the atom in which almost the whole mass of the atom was concentrated in a very small, positively charged nucleus at the centre while the negatively charged electrons occupied a much greater region of space surrounding the nucleus.

### Foundations of Quantum Group Theory by Dr Shahn Majid

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