Se p 20 09 Second comment to “ Invariance of the tunneling method ”

ar X iv : q ua nt - p h / 06 09 11 5 v 1 1 5 Se p 20 06 Shape invariance approach to exact solutions

Using the shape invariance property we obtain exact solutions of the (1 + 1) dimensional Klein-Gordon equation for certain types of scalar and vector potentials. We also discuss the possibility of obtaining real energy spectrum with non-Hermitian interaction within this framework.

X iv : h ep - p h / 99 09 20 5 v 2 2 6 Se p 19 99 On the direct evidence of time - reversal non - invariance in the K 0 − K̄ 0 system

Comment on the “ Invariance of the Tunneling Method for Dynamical Black Holes ”

In the recent paper arXiv:0906.1725 it has been guessed that a " correct " treatment of the semi-classical tunneling based on the Hamilton-Jacobi equation gives the standard Hawking formula, contrary to was asserted in my previous paper arXiv:0904.4572. Here I confirm my calculation showing where the article of Di Criscienzo et al. is wrong.

ep - t h / 04 09 15 1 v 1 1 5 Se p 20 04 Non - BPS Brane Dynamics And Dual Tensor Gauge Theory

The action for the long wavelength oscillations of a non-BPS p=3 brane embedded in N=1, D=5 superspace is determined by means of the coset method. The D=4 world volume Nambu-Goldstone boson of broken translation invariance and the two D=4 world volume Weyl spinor Goldstinos of the completely broken supersymmetry describe the excitations of the brane into the broken space and superspace directio...

. R A ] 1 3 Se p 20 09 Transseries : Ratios , Grids , and Witnesses

More remarks and questions on transseries. In particular we deal with the system of ratio sets and grids used in the grid-based formulation of transseries. This involves a " witness " concept that keeps track of the ratios required for each computation. There are, at this stage, questions and missing proofs in the development.