18 citations · 21 across the 7 of their papers we have counts for
7 papers
Summing the reciprocal of the polynomial appearing in Fermat's Last Theorem
Ariel Edery
Consider the polynomial where and are positive integers and is an integer. By Fermat's Last Theorem, is never zero so that its reciprocal,…
Finite path integral limits work in cases where the perturbative series is not Borel summable
Ariel Edery
The perturbative expansion in powers of the coupling of observables in quantum field theory and quantum mechanics is known to yield an asymptotic series. If the original physical s…
Transition of a superposition of states under a delta-function pulse in a two-level system
Ariel Edery
Under a time-dependent perturbation, it is common to calculate the probability of a transition from one eigenstate to another eigenstate of a quantum system. Here we study the tran…
Convergent perturbative series via finite path integral limits: application to energy at strong coupling of the anharmonic oscillator
Ariel Edery
Solving quantum field theories at strong coupling remains a challenging task. The main issue is that the usual perturbative series are asymptotic series which can be useful at weak…
Two types of series expansions valid at strong coupling
Ariel Edery
It is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupli…
The Bright Side of Dark Matter
A. Edery
We show that it is not possible in the absence of dark matter to construct a four-dimensional metric that explains galactic observations. In particular, by working with an effectiv…
Cosmological sector for localized mass and spin in 2+1 dimensional topologically massive gravity
A. Edery M. B. Paranjape
The cosmological sector to the full non-linear topologically massive gravity (TMG) is obtained for localized sources of mass and spin besides the asymptotically spinning co…