We calculate the relic density χ01 h2) of neutralino dark matter in supergravity models with radiative electroweak symmetry breaking for values of the Higgs sector parameter tan β ≡ v2/v1 between the two infrared fixed points of the top quark Yukawa coupling, tan β ' 1.8 and tanβ ' 56. For tanβ ∼ 10, the CP-odd Higgs pseudoscalar (A0) and the heavier CP-even Higgs scalar (H0) are much heavier t...

The photon-added nonlinear coherent states, defined as a†m|α, f〉 up to a normalization constant, are still nonlinear coherent states with the nonlinear function f(N−m)[1−m/(N +1)]. Here |α, f〉 is the nonlinear coherent state with the nonlinear function f(N), N is the number operator, a is the boson creation operator and m is a non-negative integer. We introduce a new type of nonlinear coherent ...

For well-known three orderings (normal ordering, anti-normal ordering, and Weyl ordering) in Quantum Physics, we give a simple proof for the intertwining formulas among them. Moreover, for the creation operator a† and the annihilation operator a of a harmonic oscillator, we show Weyl ordering expression of (a†a)n as different types of polynomials with respect to the number operator N ≡ a†a. Non...

What is the nature of the energy spectrum of a black hole ? The algebraic approach to black hole quantization requires the horizon area eigenvalues to be equally spaced. As stressed long ago by by Mukhanov, such eigenvalues must be exponentially degenerate with respect to the area quantum number if one is to understand black hole entropy as reflecting degeneracy of the observable states. Here w...

[A,N ] = A, [A, N ] = −A†, [A,A] = [N + 1]− [N ]. (1) In the above A and A are annihilation and creation operators, respectively, while the number operator N counts particles. It is defined in the Fock basis as N |n〉 = n|n〉 and commutes with AA. Because of that in any representation of (1) N can be written in the form AA = [N ], where [N ] denotes an arbitrary function of N , usually called the...

Rights: © 2011 American Physical Society (APS). This is the accepted version of the following article: Rauch, Christian & Makkonen, Ilja & Tuomisto, Filip. 2011. Identifying vacancy complexes in compound semiconductors with positron annihilation spectroscopy: A case study of InN. Physical Review B. Volume 84, Issue 12. 125201/1-9. ISSN 1098-0121 (printed). DOI: 10.1103/physrevb.84.125201, which...

We consider the emission of charged scalar particles from a Schwarzschild black hole. It is shown that these can interact with each other through pair annihilation, and as result, produce photons. These photons make correction to spectrum are directly emitted By solving field equations using WKB approximation, annihilation rate taken into account for most probable case, i.e., first order, there...

The electron-positron annihilation spectrum observed by SPI/INTEGRAL during deep Galactic Center region exposure is reported. The line energy (510.954±0.075 keV) is consistent with the unshifted annihilation line. The width of the annihilation line is 2.37±0.25 keV (FWHM), while the strength of the ortho-positronium continuum suggests that the dominant fraction of positrons (94±6%) form positro...