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Quantum mechanics has been mostly concerned with those states of systems that are represented by state vectors. In many cases, however, the system of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classical physics. The density matrix was introduced by J. von Neumann in 1927 to describe statistical concepts in quantum mechanics. The main virtue of the density matrix is its analytical power in the construction of general formulas and in the proof of general theo...
After winning an international audience with his novel Children of the Ghetto, Israel Zangwill went on to write numerous short stories, four additional novels, and several plays, including The Melting Pot. Author Meri-Jane Rochelson, a noted expert on Zangwill’s work, examines his career from its beginnings in the 1890s to the performance of his last play, We Moderns, in 1924, to trace how Zangwill became the best-known Jewish writer in Britain and America and a leading spokesperson on Jewish affairs throughout the world. In A Jew in the Public Arena, Rochelson examines Zangwill’s published writings alongside a wealth of primary materials, including letters, diaries, manuscripts, press c...
This book analyzes and discusses in detail art therapy, a specific tool used to sustain health in affective developments, rehabilitation, motor skills and cognitive functions. Art therapy is based on the assumption that the process of making art (music, dance, painting) sparks emotions and enhances brain activity. Art therapy is used to encourage personal growth, facilitate particular brain areas or activity patterns, and improve neural connectivity. Treating neurological diseases using artistic strategies offers us a unique option for engaging brain structural networks that enhance the brain’s ability to form new connections. Based on brain plasticity, art therapy has the potential to inc...
The Hans Kleinpoppen Symposium on "Complete Scattering Experiments" th was held in honor of Hans Kleinpoppen’s 70 birthday. It took place in Il Ciocco, Italy. The symposium had two purposes: to present the work that Hans Kleinpoppen has done or initiated during his remarkable scientific career, and to bring people from various fields together who perform complete scattering experiments. Hans Kleinpoppen’s work included electron and photon impact experiments which were accompanied by studies of entangled states - a field of high current interest. Representatives from each of these fields gave excellent lectures on their particular subjects, and many discussions that started during the ses...
Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course bridges the gap between traditional courses in quantum mechanics and practical investigations. The authors' goal is to guide students in training their ability to perform theoretical calculations of polarization and correlation characteristics of various processes in atomic collisions. The book provides a concise description of the density matrix and statistical tensor formalism and presents a general approach to the description of angular correlation and polarization phenomena. It illustrates an application of the angular momentum technique to a broad variety of atomic processes. The book contains derivat...
If a heavy particle ion (atom, molecule, muon) collides with another in the gas phase at speeds approaching the speed of light, the time-dependent Dirac equation equation must be used for its description, including quantum electro-dynamic, special relativity and magnetic coupling effects. In this book we study one electron in the variety of rearrangement collisions: radiative and non-radiative capture, ionization, capture by pair (one electron, one positron) production and antihydrogen production. Our relativistic continuum distorted-wave theory accounts extremely well for the simultaneous behaviour of the electron with respect to the nuclear charges of the projectile and the target. This is the first book developed in this subject. Containing many diagrams and tables, and fully referenced, it goes beyond chapters in previous books. The relativistic continuum distorted-wave theory developed by the authors group, is shown to be fully Hermitean. Detailed mathematics are provided in nine appendices.
The first presentation of the novel interdisciplinary optical remote sensing technique for various ionized diluted media, based on the collisional polarization of the spectoral emission. The book provides a methodology of the impact spectropolarimetic sensing of many solutions to many practical diagnostic problems.
If you have two small objects, one here on Earth and the other on the planet Pluto, what would you say of the following statement: No modification of the properties of the object on the earth can take place as a consequence of an interaction of the distant object with a third body also located on Pluto? The opinion that the previous statement is correct is very natural, but modern quantum theory implies that it must be wrong in certain cases. Consider in fact two arbitrary objects separated by such a large distance that they are unable to exert any important mutual influence. It is possible to show rigorously that a measurable physical quantity exists, with a value more than 40% different fr...