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[null,"1.","Record Nr.",null,"UNINA9910254581003321"]
[null,null,"Autore",null,"Prodan Emil"]
[null,null,"Titolo",null,"A computational non-commutative geometry program for disordered topological insulators / / by Emil Prodan"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017"]
[null,null,"ISBN",null,"3-319-55023-3"]
[null,null,"Edizione",null,"[1st ed. 2017.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 118 p. 19 illus. in color.)"]
[null,null,"Collana",null,"SpringerBriefs in Mathematical Physics, , 2197-1757 ; ; 23"]
[null,null,"Disciplina",null,"512.4"]
[null,null,"Soggetti",null,"Physics"]
[{"$nulls":4},"Mathematical physics"]
[{"$nulls":4},"Condensed matter"]
[{"$nulls":4},"K-theory"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Mathematical Physics"]
[{"$nulls":4},"Condensed Matter Physics"]
[{"$nulls":4},"K-Theory"]
[{"$nulls":4},"Functional Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references at the end of each chapters."]
[null,null,"Nota di contenuto",null,"Disordered Topological Insulators: A Brief Introduction -- Homogeneous Materials -- Homogeneous Disordered Crystals -- Classification of Homogenous Disordered Crystals -- Electron Dynamics: Concrete Physical Models -- Notations and Conventions -- Physical Models -- Disorder Regimes -- Topological Invariants -- The Non-Commutative Brillouin Torus -- Disorder Configurations and Associated Dynamical Systems -- The Algebra of Covariant Physical Observables -- Fourier Calculus -- Differential Calculus -- Smooth Sub-Algebra -- Sobolev Spaces -- Magnetic Derivations -- Physics Formulas -- The Auxiliary C*-Algebras -- Periodic Disorder Configurations -- The Periodic Approximating Algebra -- Finite-Volume Disorder Configurations -- The Finite-Volume Approximating Algebra -- Approximate Differential Calculus -- Bloch Algebras -- Canonical Finite-Volume Algorithm -- General Picture -- Explicit Computer Implementation -- Error Bounds for Smooth Correlations -- Assumptions -- First Round of Approximations -- Second Round of "]
[{"$nulls":4},"Approximations -- Overall Error Bounds -- Applications: Transport Coefficients at Finite Temperature -- The Non-Commutative Kubo Formula -- The Integer Quantum Hall Effect -- Chern Insulators -- Error Bounds for Non-Smooth Correlations -- The Aizenman-Molchanov Bound -- Assumptions -- Derivation of Error Bounds -- Applications II: Topological Invariants -- Class AIII in d = 1 -- Class A in d = 2 -- Class AIII in d = 3 -- References."]
[null,null,null,"Sommario/riassunto","This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder. In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons’ dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented. In the second part, auxiliary algebras are introduced and a canonical finite-volume approximation of the non-commutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed. In the third part upper bounds on the numerical errors are derived and it is proved that the canonical-finite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation. The book is intended for graduate students and researchers in numerical and mathematical physics."]
[null,"2.","Record Nr.",null,"UNINA9910966994503321"]
[null,null,"Autore",null,"Lewis Linda M. <1942->"]
[null,null,"Titolo",null,"Dickens, his parables, and his reader / / Linda M. Lewis"]
[null,null,"Pubbl/distr/stampa",null,"Columbia [Mo.] ; ; London, : University of Missouri Press, c2011"]
[null,null,"ISBN",null,"9780826272645"]
[{"$nulls":4},"0826272649"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (313 p.)"]
[null,null,"Classificazione",null,"HL 2585"]
[null,null,"Disciplina",null,"823/.809"]
[null,null,"Soggetti",null,"Parables in literature"]
[null,null,"Lingua di pubblicazione",null,"Wakashan languages"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"The child as Christian pilgrim in Oliver Twist and The old curiosity shop -- The mortal and immortal houses of Dombey and son -- Prodigal children and tearful reunions in David Copperfield -- Casting the first stone : judgment day in Bleak house -- \"Forgive our debts as we forgive our debtors\" : indebtedness in Little Dorrit -- Allegory of the martyred savior in Hard times and A tale of two cities -- The good and faithful servant of Our mutual friend."]
[null,null,null,"Sommario/riassunto","&amp;nbsp; Charles Dickens once commented that in each of his Christmas stories there is \"an express text preached on... always taken from the lips of Christ.\" This preaching, Linda M. Lewis contends, does not end with his Christmas stories but extends throughout the body of his work. In Dickens, His Parables, and His Reader, Lewis examines parable and allegory in nine of Dickens's novels as an entry into understanding the complexities of the relationship between Dickens and his reader. Through the combination of rhetorical analysis of religious allegory and cohesive study of various New Testament parables upon which Dickens based the themes of his novels, Lewis provides new interpretations of the allegory in his novels while illuminating Dickens's religious beliefs. Specifically, she alleges that Dickens saw himself as valued friend and moral teacher to lead his \"dear reader\" to religious truth. Dickens's personal gospel was that behavior is far more important than strict allegiance to any set of beliefs, and it is upon this foundation that we see allegory activated in Dickens's characters. Oliver Twist and The Old Curiosity Shop exemplify the Victorian \"cult of childhood\" and blend two allegorical texts: Jesus's Good Samaritan parable and John Bunyan's The Pilgrim's Progress. In "]
[{"$nulls":4},"Dombey and Son, Dickens chooses Jesus's parable of the Wise and Foolish Builders. In the autobiographical David Copperfield, Dickens engages his reader through an Old Testament myth and a New Testament parable: the expulsion from Eden and the Prodigal Son, respectively. Led by his belief in and desire to preach his social gospel and broad church Christianity, Dickens had no hesitation in manipulating biblical stories and sermons to suit his purposes. Bleak House is Dickens's apocalyptic parable about the Day of Judgment, while Little Dorrit &amp;nbsp;&amp;nbsp;echoes the line \"Forgive us our debts as we forgive our debtors\" from the Lord's Prayer, illustrating through his characters that only through grace can all debt be erased. The allegory of the martyred savior is considered in Hard Times and A Tale of Two Cities. Dickens's final completed novel, Our Mutual Friend, blends the parable of the Good and Faithful Servant with several versions of the Heir Claimant parable. While some recent scholarship debunks the sincerity of Dickens's religious belief, Lewis clearly demonstrates that Dickens's novels challenge the reader to investigate and develop an understanding of New Testament doctrine. Dickens saw his relationship with his reader as a crucial part of his storytelling, and through his use and manipulation of allegory and parables, he hoped to influence the faith and morality of that reader."]