A Remark on Machida-Namiki Theory of Measurement

A remark on simple scattering theory

Scattering theory between the fractional power H0 = κ−1(−∆)κ/2 (κ ≥ 1) of negative Laplacian and the Hamiltonian H = H0 + V perturbed by shortand longrange potentials considered in [10] is revisited and a new proof of the existence and asymptotic completeness of wave operators is given with utilizing the smooth operator technique. AMS Subject Classification: Primary 35P25, 81U05 ; Secondary 47A...

Remark on the Theory of Cosmological Perturbation

It is generally predicted that there exists non-vanishing power spectrum for the wavenumbers outside the Hubble radius in the inflationary scenario. The power spectrums differ dramatically for these wavenumbers in different gauges, so we must adopt a proper power spectrum to calculate the predictions of the cosmological model. In this paper I try to show that the power spectrum defined in the S...

A remark on the means of the number of divisors

‎We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$‎, ‎where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$‎, ‎with $d(n)$ denoting the number of positive divisors of $n$‎. ‎Also‎, ‎we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.

Reply to “ A remark on the “ Theory of neutrino oscillations ” ”

I refute the criticisms of Ref. [1] raised in Ref. [2]. With this short note I would like to answer the rather provocative note of Okun, Rotaev, Schepkin and Tsukerman (O.R.S.T.) in Ref. [2]. First, I would like to thank O.R.S.T. for their attention to my recent paper in Ref. [1], that is the object of their criticism. The specific target of the O.R.S.T. criticism is the use of the substitution...

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem