By L. C. Biedenharn
ISBN-10: 0521102448
ISBN-13: 9780521102445
ISBN-10: 0521302285
ISBN-13: 9780521302289
This article develops the speculation of angular momentum from the perspective of a basic symmetry in nature and exhibits how this idea pertains to utilized parts of study in smooth quantum physics.
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Nasu, A. Fujimori and K. Siratori, Electronic Conduction in Oxides (Berlin: Springer Verlag, 2000). 02. G. D. Mahan, Many-Particle Physics (New York: Plenum, 1981). 03. S. Chakraborty, M. Sadhukhan, D. K. Modak, K. K. Som, H. S. Maiti and B. K. Chaudhuri, Philosophical Magazine B 71, 1125 (1995). 04. H. Fehske, J. Loos and G. Wellein, Physical Review B 61, 8016 (2000). 05. B. Dardel, D. Malterre, M. Grioni, P. Weibel and Y. Baer, F. Lévy, Phys. Rev. Lett. 67, 3144 (1991). 06. M. Grioni and J. Voit, Electron Spectroscopies Applied to Low-Dimensional Materials, edited by H.
Notice however that t′ (or rather 4t′) is different from the polaronic bandwidth and it does not represent the exponentially suppressed polaronic hopping. Indeed, a hole is no longer a good excitation but carries a consistent cloud of phonons with intrinsic dynamics and finite spatial extension. In the adiabatic regime, the lattice relaxation is very slow and the electrons on a short timescale are delocalized. As a result, the ARPES signal follows the non-renormalized frozen lattice bands and t′ ≈ t.
As a result, the itineracy of the single particle excitations depends substantially on the timescale of the probe. A fast probe, like photoemission, produces single particle states that “feel” the frozen lattice dispersion. At the opposite limit, an adiabatic perturbation would generate a response that can be described in terms of heavy quasiparticles dispersing along narrow polaronic bands. In a rigorous treatment of the electronic response, one would calculate exactly the single particle propagator.
Angular momentum in quantum physics: theory and application by L. C. Biedenharn
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