Integrals of motion for one-dimensional Anderson localized systems

Anderson localization is known to be inevitable in one-dimension for generic disordered models. Since localization leads to Poissonian energy level statistics, we ask if localized systems possess `additional' integrals of motion as well, so as to enhance the analogy with quantum integrable systems. We answer this in the affirmative in the present work. We construct a set of nontrivial integrals of motion for Anderson localized models, in terms of the original creation and annihilation operators. These are found as a power series in the hopping parameter. The recently found Type-1 Hamiltonians, which are known to be quantum integrable in a precise sense, motivate our construction. We note that these models can be viewed as disordered electron models with infinite-range hopping, where a similar series truncates at the linear order. We show that despite the infinite range hopping, all states but one are localized. We also study the conservation laws for the disorder free Aubry-Andre model, where the states are either localized or extended, depending on the strength of a coupling constant. We formulate a specific procedure for averaging over disorder, in order to examine the convergence of the power series. Using this procedure in the Aubry-Andre model, we show that integrals of motion given by our construction are well-defined in localized phase, but not so in the extended phase. Finally, we also obtain the integrals of motion for a model with interactions to lowest order in the interaction.

Temas de historia argentina y americana, 2004, n° 5 (número completo)

Mundo rural, mundo urbano: la mirada de La Nueva República hacia los problemas agrarios / Ángeles Castro Montero -- La revista Ideas (1903-1905) / Verónica Ferrazzini -- Estanislao Zeballos y los incentivos para la naturalización de extranjeros. Perfil de un legislador que buscó comunicar identidad / María Gabriela Micheletti -- El Centenario y la “cuestión social”. Una iniciativa académica / Hebe Carmen Pelosi -- Los entretelones de una candidatura: Agustín P. Justo y las elecciones de noviembre de 1932 / Elena T. Piñeiro -- Acción diplomática del general Paz en Corrientes como director de la guerra contra Rosas (1845-1846) / Gustavo Enrique Poenitz -- Las finanzas públicas de la provincia de Corrientes durante la Organización Nacional (1810-1861) / Enrique César Schaller -- Informes sobre las misiones franciscanas en la Nueva California. 1806-1812 / Juan Villegas S. J. -- Reseñas Bibliográficas -- Normas sobre colaboraciones en la revista

Un episodio de “estilización” de la política antirrepublicana: la fiesta de San Francisco Javier de 1931 en Pamplona

[ES] Estudio de caso (Fiesta de S. Francisco en Pamplona, Navarra) del modo en que la derecha conservadora española (Bloque de Derechas) y los radicales (carlistas) emplearon densos elementos identificadores (“identidad”) de lo local (Navarra-España) y católica para generar actitudes y adhesiones políticas antirrepublicanas.

Collecção das leis do Imperio do Brasil de 1861

Parte 1 - Atos do Poder Legislativo

Coleção das Leis da República dos Estados Unidos do Brasil de 1931

Atos do Governo Provisório

Charles M. Breder, Jr.: Hypothetical considerations, 1931-1937

Charles M. Breder Jr. “hypothesis” diary is a deviation from the field diaries that form part of the Breder collection housed at the Arthur Vining Davis Library, Mote Marine Laboratory. There are no notes or observations from specific scientific expeditions in the document. Instead, the contents provide an insight into the early meticulous scientific thoughts of this biologist, and how he examines and develops these ideas. It is apparent that among Dr. Breder’s passions was his continual search for knowledge about questions that still besieged many scientists. Topics discussed include symmetry, origin of the atmosphere, origin of life, mechanical analogies of organisms, aquaria as an organism, astrobiology, entropy, evolution of species, and other topics. The diary was transcribed as part of the Coastal Estuarine Data/Document Rescue and Archeology effort for South Florida. (PDF contains 33 pages)

Cartas enviadas por Julio Altadill a Justo Garate entre 1929 y 1931

3 cartas (manuscritas) ; entre 210x265mm y 161x222mm. Ubicación: Caja 1 - Carpeta 23

Cartas enviadas por Francisco Apalategui a Justo Garate entre 1930 y 1931

1 tarjeta y 1 carta (manuscritas y mecanografiadas) ; entre 146x92mm y 135x215mm. Ubicación: Caja 1 - Carpeta 31

Cartas enviadas por Ángel de Apraiz a Justo Garate entre 1924 y 1931

10 cartas (manuscritas y mecanografiadas) ; entre 213x203mm y 335x227mm. Ubicación: Caja 1 - Carpeta 33

Cartas enviadas por Ángel de Apraiz a Justo Garate entre 1931 y 1932

10 cartas (manuscritas y mecanografiadas) ; entre 208x124mm y 213x275mm. Ubicación: Caja 1 - Carpeta 33

Modernización y Educación en Vitoria (1865-1931): Espacio escolar e Higienización

Historia de la influencia del higienismo en la evolución del espacio escolar de la ciudad de Vitoria entre 1865-1931.

Cartas enviadas por Pío Baroja a Justo Garate entre 1931 y 1935

8 cartas (manuscritas) ; entre 320x210mm y 155x205mm y una tarjeta postal de 145x95mm