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Titlebook: Non-Relativistic Quantum Dynamics; W. O. Amrein Book 1981 D. Reidel Publishing Company, Dordrecht, Holland 1981 Potential.dynamics.operato

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發(fā)表于 2025-3-21 17:52:25 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Non-Relativistic Quantum Dynamics
編輯W. O. Amrein
視頻videohttp://file.papertrans.cn/668/667016/667016.mp4
叢書名稱Mathematical Physics Studies
圖書封面Titlebook: Non-Relativistic Quantum Dynamics;  W. O. Amrein Book 1981 D. Reidel Publishing Company, Dordrecht, Holland 1981 Potential.dynamics.operato
描述The bulk of known results in spectral and scattering theory for Schrodinger operators has been derived by time-independent (also called stationary) methods, which make extensive use of re- solvent estimates and the spectral theorem. In very recent years there has been a partial shift of emphasis from the time-indepen- dent to the time-dependent theory, due to the discovery of new, essentially time-dependent proofs of a fair number of the principal results such as asymptotic completeness, absence of singularly con- tinuous spectrum and properties of scattering cross sections. These new time-dependent arguments are somewhat simpler than the station- ary ones and at the same time considerably closer to physical in- tuition, in that they are based on a rather detailed description of the time evolution of states in configUration space (whence the designation "geometric methods" used by some authors). It seemed interesting to me to present some of these new meth- ods from a strictly time-dependent point of view, by considering as the basic mathematical object strongly continuous unitary one- parameter groups and avoiding the spectral theorem completely. The present volume may be viewed a
出版日期Book 1981
關(guān)鍵詞Potential; dynamics; operator; scattering theory
版次1
doihttps://doi.org/10.1007/978-94-010-0316-2
isbn_softcover978-90-277-1324-7
isbn_ebook978-94-010-0316-2Series ISSN 0921-3767 Series E-ISSN 2352-3905
issn_series 0921-3767
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1981
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0921-3767 ionary) methods, which make extensive use of re- solvent estimates and the spectral theorem. In very recent years there has been a partial shift of emphasis from the time-indepen- dent to the time-dependent theory, due to the discovery of new, essentially time-dependent proofs of a fair number of th
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Book 1981thods, which make extensive use of re- solvent estimates and the spectral theorem. In very recent years there has been a partial shift of emphasis from the time-indepen- dent to the time-dependent theory, due to the discovery of new, essentially time-dependent proofs of a fair number of the principa
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https://doi.org/10.1007/978-94-010-0316-2Potential; dynamics; operator; scattering theory
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Scattering Theory,Scattering theory is the mathematical description of the following type of physical experiment: A beam of particles with well-defined initial conditions is made to collide with a fixed target, and one observes the angular distribution as well as other physical properties of the scattered particles after the collision.
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978-90-277-1324-7D. Reidel Publishing Company, Dordrecht, Holland 1981
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