Gauge effects in bound-bound Rydberg transition matrix elements

The Instantaneous Approximation to the Transition Matrix Elements between Two Bound States 1

Under the framework of the Bethe-Salpeter (B.S.) wave functions and the Mandelstam formalism as well, to make “instantaneous approximation” to a transition matrix element (a current operator sandwiched between two bound-states of double heavy quarks) is described. By taking the typical concerned decays as examples, such as Bc meson decaying to J/ψ+(l̄ν), the advantages of the approach and its li...

A Matrix Lower Bound

A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neumann. The matrix lower bound has a natural interpretation in functional analysis, and it satisfies many of the properties that von Neumann stated for it in a restricted case. Applications for the matrix lower bound are demonstrated in several areas. In linear algebra, the matrix lower bound of a ful...

Gauge Invariance on Bound State Energy Levels

In this paper the problem of the gauge in a bound state calculation is discussed. In particular, in order to verify the gauge invariance in the energy levels expansion, some set of gauge invariant contributions are given. Talk given at the NATO-ASI, Electron Theory and Quantum Electrodynamics, Edirne 8-16 September 1994 E-mail: [email protected]

Scattering resonances and bound states for strongly interacting Rydberg polaritons

A bound for Feichtinger conjecture

In this paper‎, ‎using the discrete Fourier transform in the finite-dimensional Hilbert space C^n‎, ‎a class of nonRieszable equal norm tight frames is introduced ‎and‎ using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...