Kinematically Complete Experiment
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Kinematically Complete Experiment
In accelerator physics, a kinematically complete experiment is an experiment in which all kinematic parameters of all collision products are determined. If the final state of the collision involves n particles 3n momentum components (3 Cartesian coordinates for each particle) need to be determined. However, these components are linked to each other by momentum conservation in each direction (3 equations) and energy conservation (1 equation) so that only 3n-4 components are linearly independent. Therefore, the measurement of 3n-4 momentum components constitutes a kinematically complete experiment. If the final state involves only two particles (e.g. in the Rutherford experiment on elastic scattering) then only one particle needs to be detected. However, for processes leading to three collision products, like e.g. single ionization of the target atom, then two particles need to be momentum-analyzed (for one of them it is sufficient to measure two momentum components) and measured ...
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Accelerator Physics
Accelerator physics is a branch of applied physics, concerned with designing, building and operating particle accelerators. As such, it can be described as the study of motion, manipulation and observation of relativistic charged particle beams and their interaction with accelerator structures by electromagnetic fields. It is also related to other fields: *Microwave engineering (for acceleration/deflection structures in the radio frequency range). *Optics with an emphasis on geometrical optics (beam focusing and bending) and laser physics (laser-particle interaction). *Computer technology with an emphasis on digital signal processing; e.g., for automated manipulation of the particle beam. *Plasma physics, for the description of intense beams. The experiments conducted with particle accelerators are not regarded as part of accelerator physics, but belong (according to the objectives of the experiments) to, e.g., particle physics, nuclear physics, condensed matter physics or m ...
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Rutherford Experiment
Rutherford may refer to: Places Australia * Rutherford, New South Wales, a suburb of Maitland * Rutherford (Parish), New South Wales, a civil parish of Yungnulgra County Canada * Mount Rutherford, Jasper National Park * Rutherford, Edmonton, neighbourhood * Rutherford House, in Edmonton, Alberta * Rutherford Library, University of Alberta United Kingdom * Rutherford Appleton Laboratory, Oxfordshire United States * Rutherford, California, in Napa County * East Rutherford, New Jersey * Rutherford, New Jersey * Rutherford, Pennsylvania * Rutherford, Virginia * Rutherford, West Virginia * Rutherford County, North Carolina * Rutherford County, Tennessee People * Rutherford (name), people with the surname or given name ** Ernest Rutherford (1871–1937), 1st Baron Rutherford of Nelson, known as the father of nuclear physics ** Rutherford B. Hayes (1822–1893), 19th president of the United States (1877–1881) Fiction * Rutherford the Brave, a character from G ...
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Few-body Systems
In mechanics, a few-body system consists of a small number of well-defined structures or point particles. Quantum mechanics In quantum mechanics, examples of few-body systems include light nuclear systems (that is, few-nucleon bound and scattering states), small molecules, light atoms (such as helium in an external electric field), atomic collisions, and quantum dots. A fundamental difficulty in describing few-body systems is that the Schrödinger equation and the classical equations of motion are not analytically solvable for more than two mutually interacting particles even when the underlying forces are precisely known. This is known as the few-body problem. For some three-body systems an exact solution can be obtained iteratively through the Faddeev equations. It can be shown that under certain conditions Faddeev equations should lead to Efimov effect. Some special cases of three-body systems are amenable to analytical solutions (or nearly so) - by special treatments - suc ...
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Accelerator Physics
Accelerator physics is a branch of applied physics, concerned with designing, building and operating particle accelerators. As such, it can be described as the study of motion, manipulation and observation of relativistic charged particle beams and their interaction with accelerator structures by electromagnetic fields. It is also related to other fields: *Microwave engineering (for acceleration/deflection structures in the radio frequency range). *Optics with an emphasis on geometrical optics (beam focusing and bending) and laser physics (laser-particle interaction). *Computer technology with an emphasis on digital signal processing; e.g., for automated manipulation of the particle beam. *Plasma physics, for the description of intense beams. The experiments conducted with particle accelerators are not regarded as part of accelerator physics, but belong (according to the objectives of the experiments) to, e.g., particle physics, nuclear physics, condensed matter physics or m ...
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