Titlebook: Quantum Collision Theory of Nonrelativistic Particles; An Introduction Reiner M. Dreizler,Tom Kirchner,Cora S. Lüdde Book 2022 Springer-Ver

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https://doi.org/10.1007/978-3-662-65591-7Scattering theorye; Elastic scattering; Lippmann-Schwinger equation; Conservation laws; Spin polarizatio

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,Elastic Scattering: Stationary Formulation—Differential Equations,udes and phase shifts, collisions by short-range potentials and long-range potentials such as the Coulomb potential are treated in detail. Internal degrees of freedom of the particles, as the spin of the particles, demand an extension of the formalism and the consideration of statistical exchange effects.

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Elastic Scattering with Spin-Polarised Particles,s and targets allow further insight into the properties of quantum systems, such as by measuring the asymmetry parameters or by multiple scattering. The simplest scenarios .are discussed in this chapter.

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,Elastic Scattering: Stationary Formulation—Differential Equations,s for the foundation of scattering theory. After the introduction of basic concepts such as cross sections, partial wave expansions, scattering amplitudes and phase shifts, collisions by short-range potentials and long-range potentials such as the Coulomb potential are treated in detail. Internal de

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Elastic Scattering: Time-Dependent Formulation,the time-dependent formulation of the collision process. This quantity can be defined as a product of two Møller-operators. These operators correspond to the limiting values of the time development operators for the times from .. = −. to . = 0 and from .. = +. back to . = 0. It can be shown, that th

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Conservation Laws in Scattering Theory,this chapter. They follow from an invariance of the Hamiltonian with respect to translations, rotations, mirror- and time-reversal symmetry. The invariance leads to conservation laws for momentum, angular momentum, parity, and time reversal, as well as characteristic selection rules for S-matrix ele