Practical Quantum Mechanics II
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H erausgegeben von
J. L. Doob . A. Grothendieck . E. Heinz . F. Hirzebruch E. Hopf· H. Hopf· W. Maak . S. MacLane . W. Magnus J. K. Moser' M. M. Postnikov . F. K. Schmidt· D. S. Scott K. Stein Geschiiftsfuhrende H erausgeber
B. Eckmann und B. L. van der Waerden
Siegfried Fliigge
Practical Quantum Mechanics II With 18 Figures
Springer-Verlag Berlin Heidelberg New York 1971
Prof. Dr. Siegfried Fliigge Physikalisches Institut der Universitat Freiburg i. Br.
Geschaftsfiihrende Herausgeber:
Prof. Dr. B. Eckmann Eidgenossische Technische Hochschule Zurich
Prof. Dr. B. L. van der Waerden Mathematisches Institut der Universitat Zurich
AMS Subject Classifications (1970) Primary 81-01, 81-02, 81 A 06, 81 A 10, 81 A 63, 81 A 69, 81 A 75, 81 A 81 Secondary 34 E 20, 35 J 10
ISBN-13: 978-3-642-65116-8 DOl: 10.1007/978-3-642-65114-4
e-ISBN-13: 978-3-642-65114-4
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under §54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1971. Library of Congress Catalog Card Number 70-140508. Monophoto typesetting and offset printing: Zechnersche Buchdruckerei, Speyer. Bookbinding: Konrad Triltsch, Graphischer Betrieb, Wiirzburg Softcover reprint of the hardcover 15t edition 1971
Contents Volume II ID. Particles with Spin A. One-Body Problems . . . . . . 129. 130. 131. 132. 133. 134. 135. 136. 137. 138.
Construction of Pauli matrices Eigenstates of Pauli matrices . Spin algebra. . . . . . . . Spinor transformation properties Spin electron in a central field . Quadrupole moment of a spin state Expectation values of magnetic moments Fine structure . . . . . . . Plane wave of spin t particles Free electron spin resonance .
B. Two- and Three-Body Problems 139. Spin functions for two particles. . . . . . . 140. Spin-dependent central force between nucleons 141. Powers of spin operators . . . . . . . . . 142. Angular momentum eigenfunctions of two spin particles 143.' Tensor force operator. . . . . . . . . . . . . . 144. Deuteron with tensor interaction . . . . . . . . . 145. Electrical quadrupole and magnetic dipole moments of deuteron . . . . . . . . . . . . . . 146. Spin functions of three particles . . . . . 147. Neutron scattering by molecular hydrogen
1 1 3 6 7 9 12 14 16 18 20 22 22 25 26 27 29 31 34 37 40
IV. Many-Body Problems A. Few Particles 148. Two repulsive particles on a circle 149. Three-atomic linear molecule. 150. Centre-of-mass motion . . . . .
43 43 47 51
Contents Volume II
VI
151. 152. 153. 154. 155. 156. 157. 118. 159. 160. 161. 162. 163. 164. 165. 166.
Virial theorem . Slater determinant Exchange in interaction terms with Slater determinant Two electrons
