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The S-matrix is closely related to the transition probability amplitude in quantum mechanics and to cross sections of various interactions; the elements (individual numerical entries) in the S-matrix are known as scattering amplitudes. Poles of the S-matrix in the complex-energy plane are identified with bound states, virtual states or resonances.
In S-matrix theory, the S-matrix relates the infinite past to the infinite future in one step, without being decomposable into intermediate steps corresponding to time-slices. This program was very influential in the 1960s, because it was a plausible substitute for quantum field theory , which was plagued with the zero interaction phenomenon at ...
The Scattering transfer parameters or T-parameters of a 2-port network are expressed by the T-parameter matrix and are closely related to the corresponding S-parameter matrix. However, unlike S parameters, there is no simple physical means to measure the T parameters in a system, sometimes referred to as Youla waves.
The S-matrix can be written as: = + where is the part of the S-matrix that is due to interactions; e.g. = just implies the S-matrix is 1, no interaction occur and all states remain unchanged. Unitarity of the S-matrix: † = is then equivalent to:
The most successful S-matrix approach centered on the narrow-resonance approximation, the idea that there is a consistent expansion starting from stable particles on straight-line Regge trajectories. After many false starts, Richard Dolen, David Horn , and Christoph Schmid understood a crucial property that led Gabriele Veneziano to formulate a ...
the characterization of matrix-associated regions (MARs) the first examples of which supported the immunoglobulin kapp-chain enhancer according to its occupancy with transcription factors [3] Subsequent work demonstrated both the constitutive (SAR-like) and the facultative (MAR-like) function of the elements depending on the context.
Coherence The visibility of diffraction features using an optical theory approach depends on the beam coherence, [27] which at the quantum level is equivalent to a density matrix approach. [ 69 ] [ 70 ] As with light, transverse coherence (across the direction of propagation) can be increased by collimation .
Signal-to-noise ratio (SNR or S/N) is a measure used in science and engineering that compares the level of a desired signal to the level of background noise. SNR is defined as the ratio of signal power to noise power, often expressed in decibels. A ratio higher than 1:1 (greater than 0 dB) indicates more signal than noise.