In general, sum rules are derived by using Heisenberg's quantum-mechanical algebra to construct operator equalities, which are then applied to the particles or energy levels of a system.
12.
In quantum mechanics, a "'sum rule "'is a formula for transitions between energy levels, in which the sum of the transition strengths is expressed in a simple form.
13.
In calculus, the "'sum rule in differentiation "'is a method of finding the derivative of a function that is the sum of two other functions for which derivatives exist.
14.
The sum rules are derived from general principles, and are useful in situations where the behavior of individual energy levels is too complex to be described by a precise quantum-mechanical theory.
15.
These analyses are being refined further through improved sum rule estimates and direct estimates in lattice QCD . They provide the " raw data " which must be explained by models of the QCD vacuum.
16.
In practical calculations, such as those needed for scattering amplitudes in various collider experiments, the operator product expansion is used in QCD sum rules to combine results from both perturbative and non-perturbative ( condensate ) calculations.
17.
He is a world expert on QCD spectral sum rules ( QSSR ) or SVZ sum rules which have been introduced by M . A . Shifman, A . I . Vainshtein and V . I . Zakahrov for studying the non-perturbative dynamics of hadrons.
18.
He is a world expert on QCD spectral sum rules ( QSSR ) or SVZ sum rules which have been introduced by M . A . Shifman, A . I . Vainshtein and V . I . Zakahrov for studying the non-perturbative dynamics of hadrons.
19.
Note that in the " sum rule " we are not really dividing by " p ", since all the relevant binomial coefficients in the numerator are divisible by " p ", so this definition applies in the case when R has " p "-torsion.
20.
This is the Thomas-Reiche-Kuhn sum rule, and the term with k = n has been omitted because in confined systems such as atoms or molecules the diagonal matrix element \ langle n | p _ x | n \ rangle = 0 due to the time inversion symmetry of the Hamiltonian H.
How to say sum rule in Hindi and what is the meaning of sum rule in Hindi? sum rule Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.
