On the self-consistency of the one-parameter scaling theory of localisation

1983 ◽  
Vol 16 (28) ◽  
pp. L991-L994 ◽  
Author(s):  
S K Sarker
1989 ◽  
Vol 03 (12) ◽  
pp. 1913-1932 ◽  
Author(s):  
Z.B. Su ◽  
Y.M. Li ◽  
W.Y. Lai ◽  
L. Yu

A new quantum Bogoliubov-de Gennes (BdeG) formalism is developed to study the self-consistent motion of holes and spin excitations in a quantum antiferromagnet within the generalized t-J model. On the one hand, the effects of local distortion of spin configurations and the renormalization of the hole motion due to virtual excitations of the distorted spin background are treated on an equal footing to obtain the hole wave function and its spectrum, as well as the effective mass for a propagating hole. On the other hand, the change of the spin excitation spectrum and the spin correlations due to the presence of dynamical holes are studied within the same adiabatic approximation. The stability of the hole states with respect to such changes justifies the self-consistency of the proposed formalism.


1989 ◽  
Vol 7 (3) ◽  
pp. 581-588
Author(s):  
Y. Furutani ◽  
H. Totsuji ◽  
K. Mima ◽  
H. Takabe

An effective potential and an associated electron density in a partially ionized high-Z ion are evaluated within the framework of the Thomas–Fermi–Dirac–Weizsäcker statistical model of atoms. The results are then injected as an initial input into the one-electron Schrödinger equation, a procedure based on the density functional theory. The self-consistency between the two approaches is examined. For a partially ionized ion at zero and finite temperatures, a number of bound electrons is counted by a sum over the principal quantum number, which diverges due to the contribution from shallow bound (Rydberg) levels. A truncation of this sum is devised by application of the Planck–Larkin scheme to the Fermi distribution


2019 ◽  
Vol 34 (20) ◽  
pp. 1950111
Author(s):  
S. Bondarenko ◽  
S. Pozdnyakov

We consider the formalism of small-[Formula: see text] effective action for reggeized gluons[Formula: see text] and, following the approach developed in Refs. 11–17, calculate the classical gluon field to NNLO precision with fermion loops included. It is demonstrated that for each perturbative order, the self-consistency of the equations of motion is equivalent to the transversality conditions applied to the solution of the equations, these conditions allow to construct the general recursive scheme for the solution’s calculation. The one fermion loop contribution to the classical solutions and application of the obtained results are also discussed.


1964 ◽  
Vol 42 (2) ◽  
pp. 329-348
Author(s):  
J. Vail

The one-dimensional many-fermion system with weak attractive interaction, which is known to have self-consistent Hartree solutions corresponding to either uniform or spatially periodic mass density, is discussed as a physical model and as a mathematical problem. The Hartree problem for sinusoidal mass density leads to the self-consistent Mathieu problem, which is analyzed for the case where the first Brillouin zone boundary does not necessarily coincide with the Fermi surface (no energy gap between ground and single-particle excited states). The Mathieu equation is solved in the weak-binding approximation in the vicinity of the two lowest band gaps, the self-consistency condition is analyzed in detail, and the N-particle energy is calculated for various cases. The results suggest that the periodic state will not have lower energy than the uniform state unless the first gap in the one-particle spectrum lies near the Fermi surface. The fact that self-consistency can be obtained for a considerable range of periodicities suggests that the periodic solutions may be of importance in some many-fermion systems.


Author(s):  
Stefan Krause ◽  
Markus Appel

Abstract. Two experiments examined the influence of stories on recipients’ self-perceptions. Extending prior theory and research, our focus was on assimilation effects (i.e., changes in self-perception in line with a protagonist’s traits) as well as on contrast effects (i.e., changes in self-perception in contrast to a protagonist’s traits). In Experiment 1 ( N = 113), implicit and explicit conscientiousness were assessed after participants read a story about either a diligent or a negligent student. Moderation analyses showed that highly transported participants and participants with lower counterarguing scores assimilate the depicted traits of a story protagonist, as indicated by explicit, self-reported conscientiousness ratings. Participants, who were more critical toward a story (i.e., higher counterarguing) and with a lower degree of transportation, showed contrast effects. In Experiment 2 ( N = 103), we manipulated transportation and counterarguing, but we could not identify an effect on participants’ self-ascribed level of conscientiousness. A mini meta-analysis across both experiments revealed significant positive overall associations between transportation and counterarguing on the one hand and story-consistent self-reported conscientiousness on the other hand.


Author(s):  
Jiapeng Liu ◽  
Ting Hei Wan ◽  
Francesco Ciucci

<p>Electrochemical impedance spectroscopy (EIS) is one of the most widely used experimental tools in electrochemistry and has applications ranging from energy storage and power generation to medicine. Considering the broad applicability of the EIS technique, it is critical to validate the EIS data against the Hilbert transform (HT) or, equivalently, the Kramers–Kronig relations. These mathematical relations allow one to assess the self-consistency of obtained spectra. However, the use of validation tests is still uncommon. In the present article, we aim at bridging this gap by reformulating the HT under a Bayesian framework. In particular, we developed the Bayesian Hilbert transform (BHT) method that interprets the HT probabilistic. Leveraging the BHT, we proposed several scores that provide quick metrics for the evaluation of the EIS data quality.<br></p>


Author(s):  
Mark Byers

This concluding chapter charts the continuing significance of the early postwar moment in Olson’s later work, particularly The Maximus Poems. The philosophical and political concerns of the American avant-garde between 1946 and 1951 play out across The Maximus Poems just as they inform later American art practices. The search of the early postwar American independent left for a source of political action rooted in the embodied individual is seen, on the one hand, to have been personified in the figure of Maximus. At the same time, Maximus’s radical ‘practice of the self’ charts a sophisticated alternative to the Enlightenment humanist subject widely critiqued in the United States in the immediate postwar period.


Author(s):  
Stacy Wolf

This chapter examines the eight female characters inCompany, what they do in the musical, and how they function in the show’s dramaturgy, and argues that they elicit the quintessential challenge of analyzing musical theater from a feminist perspective. On the one hand, the women tend to be stereotypically, even msogynistically portrayed. On the other hand, each character offers the actor a tremendous performance opportunity in portraying a complicated psychology, primarily communicated through richly expressive music and sophisticated lyrics. In this groundbreaking 1970 ensemble musical about a bachelor’s encounters with five married couples and three girlfriends, Sondheim’s female characters occupy a striking range of types within one show. From the bitter, acerbic, thrice-married Joanne to the reluctant bride-to-be Amy, and from the self-described “dumb” “stewardess” April to the free-spirited Marta,Company’s eight women are distillations of femininity, precisely sketched in the short, singular scenes in which they appear.


Author(s):  
Judson B. Murray

Confucian mysticism is a subfield in academic areas of study including Chinese thought, Chinese religions, Confucian studies, and comparative mysticism. Important topics examined in this subfield include, first, a view of the human self that is fundamentally relational, both in an interpersonal sense and because Confucians presuppose various correlations and an integration between, on the one hand, the matter–energy, capacities, processes, and activities comprising the self and, on the other, the elements, forces, patterns, and processes of the world it inhabits. One paradigmatic way Confucians conceptualize the interrelation between the self and the cosmos is their idea and ideal of the “unity of Heaven and humanity.” The Confucian mystical self, provided failings such as unbalanced emotions, selfish desires, and self-centeredness are effectively curtailed, contributes vitally to, because of its profound reverence for life, the generative and life-sustaining process of change that pervades and animates the cosmos. Second, practitioners use various techniques of religious praxis in combination to form multifaceted training regimens aimed at self-cultivation and self-transformation. Examples include a form of meditation called “quiet-sitting,” rituals, textual study, “investigating things,” self-examination and self-monitoring, filial piety, and “reverent attentiveness.” Third, training in these practices can achieve the different mystical aims, experiences, and transformations they seek, all of which relate to the overarching ideal of the unity of Heaven and humanity. These objectives, broadly speaking, include self-understanding, accurately grasping the “principles” of things and affairs, effortless moral virtuosity, “forming one body with all things” (and other types of Confucian mystical union), and exemplifying “sincerity.” Accomplishing them collapses the conventional divide separating several specious dichotomies, such as thought and action, self and other, humankind and nature, internal and external, the subjective and the objective, and moral ought and is. Fourth, the influence that precedent and tradition exert in Confucianism has prompted scholars to devote attention both to notable continuities and to intriguing innovations in comparing ancient mystical ideas, practices, experiences, and aims to later expressions and elaborations of them. At present, much of the scholarship on Confucian mysticism contributes to efforts attempting to provide rich and nuanced analyses of the tradition’s core doctrines, practices, experiences, and ethical and religious aims, by viewing these subjects through the lens of Confucianism’s mystical and spiritual dimensions. Less scholarly attention has been devoted to identifying and explicating the possible contributions that studying Confucian mysticism can make to the scholarship on theories of mysticism and comparative mysticism. Scholars of mysticism have not yet availed themselves of the wealth of data, the possible additional perspectives on contested issues, and the new trajectories for future research that Confucianism offers to these fields. Also, few studies employ the definitions, categories, and theories that have been developed in the contemporary study of mysticism as a methodology for studying Confucian mysticism.


2014 ◽  
Vol 215 ◽  
pp. 385-388
Author(s):  
Valter A. Ignatchenko ◽  
Denis S. Tsikalov

Effects of both the phase and the amplitude inhomogeneities of different dimensionalities on the Greens function and on the one-dimensional density of states of spin waves in the sinusoidal superlattice have been studied. Processes of multiple scattering of waves from inhomogeneities have been taken into account in the self-consistent approximation.


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