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  2. S-matrix - Wikipedia

    en.wikipedia.org/wiki/S-matrix

    In scattering theory, the S-matrix is an operator mapping free particle in-states to free particle out-states (scattering channels) in the Heisenberg picture. This is very useful because often we cannot describe the interaction (at least, not the most interesting ones) exactly.

  3. Korringa–Kohn–Rostoker method - Wikipedia

    en.wikipedia.org/wiki/Korringa–Kohn–Rostoker...

    The Korringa–Kohn–Rostoker (KKR) method is used to calculate the electronic band structure of periodic solids.In the derivation of the method using multiple scattering theory by Jan Korringa [1] and the derivation based on the Kohn and Rostoker variational method, [2] the muffin-tin approximation was used. [3]

  4. Partial-wave analysis - Wikipedia

    en.wikipedia.org/wiki/Partial-wave_analysis

    The following description follows the canonical way of introducing elementary scattering theory. A steady beam of particles scatters off a spherically symmetric potential V ( r ) {\displaystyle V(r)} , which is short-ranged, so that for large distances r → ∞ {\displaystyle r\to \infty } , the particles behave like free particles.

  5. Jost function - Wikipedia

    en.wikipedia.org/wiki/Jost_function

    The Jost function can be used to construct Green's functions for [+ ()] = (′).In fact, + (;, ′) = (, ′) + (, ′) (), where ′ (, ′) and ′ (, ′).. The analyticity of the Jost function in the particle momentum allows to establish a relationship between the scatterung phase difference with infinite and zero momenta on one hand and the number of bound states , the number of Jaffe ...

  6. LSZ reduction formula - Wikipedia

    en.wikipedia.org/wiki/LSZ_reduction_formula

    In quantum field theory, the Lehmann–Symanzik–Zimmermann (LSZ) reduction formula is a method to calculate S-matrix elements (the scattering amplitudes) from the time-ordered correlation functions of a quantum field theory.

  7. Lippmann–Schwinger equation - Wikipedia

    en.wikipedia.org/wiki/Lippmann–Schwinger_equation

    It relates the scattered wave function with the interaction that produces the scattering (the scattering potential) and therefore allows calculation of the relevant experimental parameters (scattering amplitude and cross sections). The most fundamental equation to describe any quantum phenomenon, including scattering, is the Schrödinger equation.

  8. Interaction picture - Wikipedia

    en.wikipedia.org/wiki/Interaction_picture

    By utilizing the interaction picture, one can use time-dependent perturbation theory to find the effect of H 1,I, [15]: 355ff e.g., in the derivation of Fermi's golden rule, [15]: 359–363 or the Dyson series [15]: 355–357 in quantum field theory: in 1947, Shin'ichirō Tomonaga and Julian Schwinger appreciated that covariant perturbation ...

  9. Glossary of elementary quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_elementary...

    Scattering state The wave function of scattering state can be understood as a propagating wave. See also "bound state". There is a criterion in terms of energy: Let be the expectation energy of the state.