Abstract
When we study complicated quantum physical systems, we divide them into their parts and study these parts separately. The parts can be constituents, but the parts can also be other subsystems, like certain collective motions (e.g. rotations about the center of mass). In either case the space of physical states of the subsystem is a factor space of the tensor product space for the whole system. One can then study the structure of the subsystem for each definite state of the remainder of the whole system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Born and J. Oppenheimer,Ann.Phys. 84: 457 (1927).
G. Herzberg and M.C. Longuet-Higgins,Discuss.Faraday Soc.35:77 (1963); C.A. Mead and D.G. Truhlar,J.Chem.Phys. 70:2284 (1979); C.A. Mead, C em. Phys. 49: 33 (1980)
M. Berry,Proc.Roy.Soc.A392:45 (1984); F. Wilczek and A. Zee,Phys.Rev.Lett. 52: 2111 (1984).
R. Jackiw,Intern.Journ.Mod.Phys. A3: 285 (1988).
J. Moody, A. Shapere, and F. Wilczek,Phys.Rev.Lett. 56: 893 (1986).
J. Schwinger,Science165:757 (1969); D. Zwanziger,Phys.Rev. 176: 1480 (1968); D6: 458 (1972).
See e.g., A Bohm,Quantum Mechanics, Sect. VII. 2, Springer, New York (1986).
A. 0. Barut and A. Bohm,Phys.Rev. 139B:1107 (1965); Y. Dothan, M. Gell-Mann, and Y. Ne’eman,Phys.Rev.Lett. 17: 148 (1965).
Though these cases have been discussed in the literature, e.g., F. Lachello, R.D. Levine, et al.,J. Chem.Phys. 77:3047 (1982), we shall not consider them here.
M.A. Naimark,Linear Representations of the Lorentz Group, New York (1964); A. Bohm,Quantum Mechanics (2nd edition), Appendix V3.
For a derivation see A. Bohm and R.B. Teese,J.Math.Phys. 17:94 (1976), Appendix A.
E.g., L. C. Biedenharn and J.D. Louck, Angular Momentum in Quantum Physics, Addison-Wesley (1981), Chapter 3.
E.g. P. Goddard and D. I. Olive, Rep. Prog. Phys. 41:1357 (1978); S. Coleman, (Erice lectures 1981)The Unity of the Fundamental Interactions, H. Zichichi editor, Plenum Press (1983).
M. Stone,Phys.Rev. D33: 1191 (1986).
P. Dirac, Letter to Abdus Salam of 11 November 1981.
Y. Aharanov, Private communications.
A. Bohm, P. Kielanowski, M. Kmiecik, and M. Loewe, Tel Aviv University preprint TAUP 1637–88.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Plenum Press, New York
About this chapter
Cite this chapter
Bohm, A. (1989). Berry’s Connection, the Charge-Monopole System and the Group Theory of the Diatomic Molecule. In: Gruber, B., Iachello, F. (eds) Symmetries in Science III. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0787-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0787-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8082-8
Online ISBN: 978-1-4613-0787-7
eBook Packages: Springer Book Archive