Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis

In this paper, we discuss the mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. The Schrödinger equation and Heisenberg uncertainty principles are structured within local fractional operators.

Equidistribution for higher-rank Abelian actions on Heisenberg nilmanifolds

2010 Mathematics Subject Classification: Primary: 37C85, 37A17, 37A45; Secondary: 11K36, 11L07.

Vanishing spin stiffness in the spin-1/2 Heisenberg chain for any nonzero temperature

Whether at the zero spin density m = 0 and finite temperatures T > 0 the spin stiffness of the spin-1/2 XXX chain is finite or vanishes remains an unsolved and controversial issue, as different approaches yield contradictory results. Here we explicitly compute the stiffness at m = 0 and find strong evidence that it vanishes. In particular, we derive an upper bound on the stiffness within a canonical ensemble at any fixed value of spin density m that is proportional to m2L in the thermodynamic limit of chain length L → ∞, for any finite, nonzero temperature, which implies the absence of ballistic transport for T > 0 for m = 0. Although our method relies in part on the thermodynamic Bethe ansatz (TBA), it does not evaluate the stiffness through the second derivative of the TBA energy eigenvalues relative to a uniform vector potential. Moreover, we provide strong evidence that in the thermodynamic limit the upper bounds on the spin current and stiffness used in our derivation remain valid under string deviations. Our results also provide strong evidence that in the thermodynamic limit the TBA method used by X. Zotos [Phys. Rev. Lett. 82, 1764 (1999)] leads to the exact stiffness values at finite temperature T > 0 for models whose stiffness is finite at T = 0, similar to the spin stiffness of the spin-1/2 Heisenberg chain but unlike the charge stiffness of the half-filled 1D Hubbard model.

Chamaeleontidae, bearbeitet von prof. dr. Franz Werner ... Mit 20 abbildungen.

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Eublepharidae, Uroplatidae, Pygopodidae, bearbeitet von prof. dr. F. Werner ... Mit 6 abbildungen.

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Singular integrals on Ahlfors-David regular subsets of the Heisenberg group

"Vegeu el resum a l'inici del document del fitxer adjunt."

Toxocara canis (Werner, 1782) eggs in the Pleistocene site of Menez-Dregan, France (300,000-500,000 years before present)

On the archaeological site of Menez-Dregan in Brittany, France, dated 300,000-500,000 years-old, paleoparasitological analysis of cave deposits led to the detection of well-preserved helminth eggs, which morphology and morphometry pointed to the diagnosis of Toxocara canis eggs, a parasite of carnivore mammals. Paleolithic remains suggested a parasitism of the hyena Crocuta spelaea or other canids that inhabited the region.

Lieutenant Werner : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57863

Figures i mirades salvatges en el cinema de Werner Herzog

Aquest treball de recerca vol explorar com el concepte del salvatge europeu es plasmaen l'obra del cineasta alemany Werner Herzog. Aquesta plasmació es produeix tant anivell figuratiu i narratiu com a nivell estètic. Per una banda, en aquests films hi ha un treball del cos i de com aquest es sotmet a diverses regles socials i de representació, que el salvatge contestarà amb un rebuig de l'ordre establert, sovint concretat en la idea de fuga cap a la natura. Per altra banda, l'estètica dels films de Herzog respon al que denominem una mirada salvatge: la representació d'una societat teatral que s'enfonsa, per una banda, i l'ús de recursos formals per a reproduir una mirada primigènia sobre les imatges, per l'altra. En tots els casos, la dinàmica d'alliberament de les forces civilitzadores constitueix el fonament de la narració i l'estètica del cineasta alemany.

Exact lower bounds to the ground-state energy of spin systems: The two-dimensional S=1/2 antiferromagnetic Heisenberg model

We present a very simple but fairly unknown method to obtain exact lower bounds to the ground-state energy of any Hamiltonian that can be partitioned into a sum of sub-Hamiltonians. The technique is applied, in particular, to the two-dimensional spin-1/2 antiferromagnetic Heisenberg model. Reasonably good results are easily obtained and the extension of the method to other systems is straightforward.

Dimerization of polyacetylene treated as a spin-Peierls distortion of the Heisenberg Hamiltonian

Extracting a bond-length-dependent Heisenberg-like Hamiltonian from the potential-energy surfaces of the two lowest states of ethylene, it is possible to study the geometry of polyacetylene by minimization of the cohesive energy, using both variational-cluster and Rayleigh-Schrödinger perturbative expansions. The dimerization amplitude is satisfactorily reproduced. Optimizing the variational-cluster-expansion total energy with the equal-bond-length constraint, the barrier to reversal of alternation is obtained. The alternating-to-regular phase transition is treated from the Néel-state starting function and appears to be of second order.