2003

A general procedure for constructing coherent states, which are eigenstates of annihilation operators, related to quantum mechanical potential problems, is presented. These coherent states, by construction are not potential specific and rely on the properties of the orthogonal polynomials, for their derivation. The information about a given quantum mechanical potential enters into these states, through the orthogonal polynomials associated with it and also through its ground state wave function. The time evolution of some of these states exhibit fractional revivals, having relevance to the factorization problem.

1997

Quantum mechanical phase space path integrals are re-examined with regard to the physical interpretation of the phase space variables involved. It is demonstrated that the traditional phase space path integral implies a meaning for the variables involved that is manifestly inconsistent. On the other hand, a phase space path integral based on coherent states entails variables that exhibit a self-consistent physical meaning.

Journal of Physics A-mathematical and Theoretical, 2012

Coherent states (CS) of the harmonic oscillator (also called canonical CS) were introduced in 1926 by Schrödinger in answer to a remark by Lorentz on the classical interpretation of the wave function. They were rediscovered in the early 1960s, first (somewhat implicitly) by Klauder in the context of a novel representation of quantum states, then by Glauber and Sudarshan for

Reviews in Mathematical Physics, 1995

We present a survey of the theory of coherent states (CS) and some of their generalizations, with emphasis on the mathematical structure, rather than on physical applications. Starting from the standard theory of CS over Lie groups, we develop a general formalism, in which CS are associated to group representations which are square integrable over a homogeneous space. A further step allows us to dispense with the group context altogether, and thus obtain the so-called reproducing triples and continuous frames introduced in some earlier work. We discuss in detail a number of concrete examples, namely semisimple Lie groups, the relativity groups and various types of wavelets. Finally we turn to some physical applications, centering on quantum measurement and the quantization/dequantization problem, that is, the transition from the classical to the quantum level and vice versa.

Journal of Physics A: Mathematical and Theoretical, 2011

In this paper a possible framework for a coherent theory of physics and mathematics is proposed that is based on the field of reference frames arising from quantum representations of real and complex numbers. The framework is obtained by expanding the frame domains to include space and time lattices. Each frame has finite length qukit strings that also have one qubit. Basis states in a Hilbert space of string states denote values of rational numbers. It is proposed that these strings be considered as hybrid systems in that they are both mathematical and physical systems. As physical systems each type of string has an associated Hamiltonian with a (presently unknown) spectrum of excited states. It follows that each rational number value has an energy associated with it. A generic Schrodinger dynamics for these systems on the lattices is summarized. The iterative structure of the frame field is such that the contents of a stage j frame have images in a stage j-1 (parent) frame. A disc...

Entropy, 1995

is presented in its entirety as it is an outstanding presentation of the history and status of the foundations of theoretical physics as it stood in 1940. Further, it provides the background for discussing the new view of the fundaments of theoretical physics provided by the energy and entropy foundation of the Dynamic Theory.

A cura di Archivio Storico "Filippo Ghirardi"-Comune di Chieri La mostra si propone di dimostrare che attraverso la mappe e i disegni conservati nell'archivio cittadino si possono cogliere elementi utili a una lettura storica del paesaggio chierese.

Nowadays the box Girder Bridge is a frequently used bridge system worldwide. Actually, the box Girder Bridge is commonly used for the long span for the ignoring the heavyweight as compared to the other bridge girder system. CSi Bridge v 20.0.0 is used for analyzing the dynamic response of box Girder Bridge. The main objective of this study is analyzing and investigating seismic performance of multi-span with up to five spans 92-meter-long box Girder Bridge. The seismic performance of box Girder Bridge is very complex and performance depends on the peak ground motion and, ground motion acceleration. It is done by the non-linear time history analysis method. In this study, the three-dimension model and the data of the Kobe earthquake are used for dynamic characteristics and showing the maximum response of box girder deck. Response results indicate in terms of deformed shape, absolute acceleration, base shear, base reaction, total energy component and displacement. Thus, the paper suggests that the construction of bridge based on time history analysis will sustain the earthquake up to 6.9 magnitudes.

Nuevas Tendencias (Instituto Empresa y Humanismo), 2021

La pandemia de 2019 ha traído consigo una aprehensión del presente y una incertidumbre por el futuro como no se experimentaban, por lo menos, desde el desencadenamiento de la Segunda Guerra Mundial. Esta pandemia está generando miedo, sobre todo concretado en la aprehensión aprensión a todo aquello que no se puede controlar y que se puede volver en contra de uno mismo. Este temor se manifiesta en una falta de confianza que comienza a ser crónica. La pandemia está siendo realmente espeluznante, pero debe ser analizada desde una perspectiva histórica, con un cierto desapego, para obtener algunas lecciones valiosas.