By Per Olov Lowdin
Content material: exact vols.: v. forty-one (2002): A tribute to the lifestyles and paintings of Per-Olov Lowdin.-v.42 (2003): see analytic access 118469.-v.44 (2003): see analytic access 88803.-vols. 45,46 (2004): see analytic access 90077.-v. forty eight (2005): Jens Oddershede -- adventurer in quantum chemistry
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Extra info for Advances in Quantum Chemistry
Each SB has its own independent coordinate Q, and only the temperature scale is in common. The temperatures of SB are indicated by orders of magnitude, while their sequence is self-explanatory: atoms ) molecules ) liquid ) crystalðIÞ ) crystalðIIÞ ) and so on. As mentioned in the Section 1, a similar relation between degeneracy and SB is established in particle physics . Moreover, we can further extend the analogy between SB in condensed matter and particle physics to include also pseudodegeneracy.
G. Racah, Phys. , 1949, 76, 1352. A. Ceulemans, R. B. King, S. A. Bovin, K. M. Rogers, A. Troisi and W. Fowler, J. Math. , 1999, 26, 101. B. Kostant, Notices Math. , 1995, 42, 959. Antilinear Particle– Hole Conjugation Operators in Jahn–Teller Theory E. D. Savage and G. E. Stedman Department of Physics and Astronomy, University of Canterbury, Private Bag 4800, Christchurch, New Zealand Abstract Linear and antiunitary particle – hole conjugation operators have each been proposed, and each for antiparticle theory and for the condensed matter analogues in nuclear, atomic and ligand shell theories.
The differences between the particular cases of JT instability are in the details of the AP behavior at the point of degeneracy: in the proper JT case the level crossing, as mentioned above, is linear in Q (Fig. 1a), in the RT effect it is quadratic (Fig. 1b), in the PJT effect it is quadratic with an energy gap between Fig. 2. Illustration to the JT and PJT effect in diatomic molecule formation. In the homonuclear case (a) the two atomic states at large interatomic distances QM ¼ 1=R ¼ 0 form a double degenerate term which at larger QM (smaller R) splits due to bonding, thus reducing the energy and symmetry quite similar to any other JT E^b1 problem (cf.