Quantum numbers

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  • The characteristics lines in X-ray spectra result from electronic transitions between inner atomic orbitals. The X-ray spectra for most heavy elements are much simpler than the UV/Vis spectra observed in ICP-OES, for example. (Only a few lines!!!) Big difference between X-ray and UVVis: The radiation is ionizing, and doesn’t just excite electrons to higher levels. Moseley’s law: Predicts the basic relationship of atom number and the frequency of the characteristic lines

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  • The quantum theory is the first theoretical approach that helps one to successfully understand the atomic and sub-atomic worlds which are too far from the cognition based on the common intuition or the experience of the daily-life. This is a very coherent theory in which a good system of hypotheses and appropriate mathematical methods allow one to describe exactly the dynamics of the quantum systems whose measurements are systematically affected by objective uncertainties.

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  • Chaos and the quantum mechanical behaviour of classically chaotic systems have been attracting increasing attention. Initially, there was perhaps more emphasis on the theoretical side, but this is now being backed up by experimental work to an increasing extent. The words 'Quantum Chaos' are often used these days, usually with an undertone of unease, the reason being that, in contrast to classical chaos, quantum chaos is ill defined; some authors say it is non-existent. So, why is it that an increasing number of physicists are devoting their efforts to a subject so fuzzily defined?...

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  • Given a holomorphic vector bundle E over a compact K¨hler manifold X, a one defines twisted Gromov-Witten invariants of X to be intersection numbers in moduli spaces of stable maps f : Σ → X with the cap product of the virtual fundamental class and a chosen multiplicative invertible characteristic class of the virtual vector bundle H 0 (Σ, f ∗ E) H 1 (Σ, f ∗ E). Using the formalism of quantized quadratic Hamiltonians [25], we express the descendant potential for the twisted theory in terms of that for X. ...

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  • The present book contains fifteen contributions on various topics related to Number Theory, Physics and Geometry. It presents, together with a forthcoming second volume, most of the courses and seminars delivered at the meeting entitled “Frontiers in Number Theory, Physics and Geometry”, which took place at the Centre de Physique des Houches in the french Alps March 9-21, 2003.

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  • Có 4 loại số dùng để mô tả các electron trong một nguyên tử. Mô hình của Borh là mô hình một chiều đã dùng một số lượng tử để mô tả về các electron trong nguyên tử. Chỉ có kích thước của quỹ đạo là quan trọng và đã được mô tả bằng số lượng tử n.

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  • This book is intended as a general introduction to modern physics for science and engineering students. It is written at a level which presurnes a prior tull year’s course in classical physics, and a knowledge of elementary differential and integral calculus. The material discussed here includes probability, relativity, quantum mechanics, atomic physics, statistical mechanics, nuclear physics and elementary particles.

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  • We have adopted a number of conventions in this book in order to maintain a consistent, clear, and identifiable notation. As far as possible we have kept to common conventions for symbols and quantities in quantum chemistry. We have also tried to avoid the duplication of symbols where possible. These goals conflict to some extent, so some quantities are given unconventional symbols. The following list identifies symbols and typography used throughout the book.

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  • On 21 March 1990 John Hammersley celebrates his seventieth birthday. A number of his colleagues and friends wish to pay tribute on this occasion to a mathematician whose exceptional inventiveness has greatly enriched mathematical science. The breadth and versatility of Hammersley’s interests are remarkable, doubly so in an age of increased specialisation. In a range of highly individual papers on a variety of topics, he has theorised, and posed (and solved) problems, thereby laying the foundations for many subjects currently under study.

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  • We consider a specialization of an untwisted quantum affine algebra of type ADE at a nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of its finite dimensional representations has two bases, simple modules and standard modules. We identify entries of the transition matrix with special values of “computable” polynomials, similar to Kazhdan-Lusztig polynomials. At the same time we “compute” q-characters for all simple modules. The result is based on “computations” of Betti numbers of graded/cyclic quiver varieties.

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  • The response of Hollywood was to embrace some of this material. A landmark move was the decision by Columbia to distribute Easy Rider (1969), a project originally destined to become another biker picture for AIP. The success of Easy Rider helped convince the studios to invest in a new generation of filmmakers seen to be more in touch with the youth audience affected by the 1960s counterculture. Hollywood learned other lessons from the independents in this period.

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  • Chemical reactions take place due to the redistribution of electron density among the reacting partners. Focusing on changes in electron density, which accompany the breaking and forming of chemical bonds, instead of the changes in the wave function accompanying them, allows us to use the ‘‘classical’’ three-dimensional language. Conceptual density functional theory (DFT) quantifies the possible responses of the system to various changes in density.

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  • In the experiments reviewed in this post only two electroencephalographic channels "C3 and C4 "were considered to capture the endogenous electroencephalographic signals from the subject. To create favorable conditions for the use of this technology is important to make it easy use, "cosmosis" or how the user's device look like wearing BCI is also important, this is the reason that the number of electrodes used in these devices is a key global features, such as using fewer electrodes, the higher the comfort (Wolpaw, 2007)....

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  • Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: On the quantum chromatic number of a graph...

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  • The FK operator method is used for solving the Schrödinger equation of a two dimensional sextic double well oscillator. We obtain the exact numerical energies for any quantum states with the precision of up to six decimal places. The FORTRAN program for automatically calculating the solutions is made and tested for the states of the principal quantum number up to hundreds.

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  • Microsoft SQL Server 2008 R2 Unleashed- P21:SQL Server 2005 provided a number of significant new features and enhancements over what was available in SQL Server 2000. This is not too surprising considering there was a five-year gap between these major releases.Microsoft SQL Server 2008 is not as much of a quantum leap forward from SQL Server 2005

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  • Microsoft SQL Server 2008 R2 Unleashed- P1:SQL Server 2005 provided a number of significant new features and enhancements over what was available in SQL Server 2000. This is not too surprising considering there was a five-year gap between these major releases.Microsoft SQL Server 2008 is not as much of a quantum leap forward from SQL Server 2005

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  • The advances in ultra-large-scale integration (ULSI) technology mainly have been based on downscaling of the minimum feature size of complementary metal-oxide semiconductor (CMOS) transistors. The limit of scaling is approaching and there are unsolved problems such as the number of electrons in the device’s active region. If this number is reduced to less than 10 electrons (or holes), quantum fluctuation errors will occur and the gate insulator thickness will become too small to block quantum mechanical tunneling, which may result in unacceptably large leakage currents....

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  • The extraordinary mechanical properties and unique electrical properties of carbon nanotubes (CNTs) have stimulated extensive research activities across the world since their discovery by Sumio Iijima of the NEC Corporation in the early 1990s. Although early research focused on growth and characterization, these interesting properties have led to an increase in the number of investigations focused on application development in the past 5 years.

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  • Microsoft SQL Server 2008 R2 Unleashed- P10:SQL Server 2005 provided a number of significant new features and enhancements over what was available in SQL Server 2000. This is not too surprising considering there was a five-year gap between these major releases.Microsoft SQL Server 2008 is not as much of a quantum leap forward from SQL Server 2005

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