The weak gravitational field expansion method to account for the gravitationally induced neutrino oscillation effect is critically examined, then it is shown that the splitting of the neutrino phase into a “kinematic” and a “gravitational” phase is not always possible because the relativistic factor modifies the particle interference phase splitting condition in a gravitational field. key words...

The process of photon splitting, becomes allowed in the presence of strong magnetic field. We calculate the influence of magnetized plasma on the photon splitting absorption coefficient. We calculate the refraction coefficients and polarization vectors with the inclusion of the vacuum terms at an arbitrary value of the magnetic field, and then find photon splitting matrix element taking into ac...

We measure the spin splitting in a magnetic field B of localized states in single-electron transistors using a new method, inelastic spin-flip cotunneling. Because it involves only internal excitations, this technique gives the most precise value of the Zeeman energy Delta=/g/mu(B)B. In the same devices we also measure the splitting with B of the Kondo peak in differential conductance. The Kond...

We considered atmospheres comprised of two density regions of cyclotron resonant scattering and of almost no cyclotron resonant scattering where photon splitting occurs. Photon splitting occurs over a larger scale than cyclotron resonant scattering, since it occurs in a super-strong magnetic field regardless of the existence of a plasma. We investigated emergent spectra using the polarization-a...

We explore the low temperature transport through a resonant acceptor impurity located near a metalsemiconductor interface and observe a large shift 12 meV and splitting 0.8 meV of its ground state. The shift is attributed to the quadratic Stark effect resulting from the electric field of the electrostatic barrier. The splitting is too large to be attributed to a linear Stark splitting. We calcu...

A process of the photon splitting γ → γγ in a strong magnetic field is investigated below and above the pair creation threshold. Contrary to the statement by Baier e.a., the " allowed " channel γ → γ ⊥ γ ⊥ is shown not to be comprehensive for the splitting in the strong field because the " forbidden " channel γ → γ γ ⊥ is also essential. The partial amplitudes and the splitting probabilities ar...

The photon-neutrino process γγ → ν ¯ ν and photon splitting are considered in a strong magnetic field. The partial polarization amplitudes are calculated within the standard model in the limit of a strong field. The amplitudes do not depend on the field strength in this limit. Using the vector parts of the amplitudes, the process of the photon splitting γ → γγ is investigated both below and abo...

The electronic relaxation of gadolinium complexes used as MRI contrast agents was studied theoretically by following the short time evolution of zero-field-splitting parameters. The statistical analysis of ab initio molecular dynamics trajectories provided a clear separation between static and transient contributions to the zero-field-splitting. For the latter, the correlation time was estimate...

From Definition 1.1, checking a polynomial is separable requires building a splitting field to check the roots are distinct. But we will see in Section 2 a criterion for deciding when a polynomial is separable (that is, has no multiple roots) without having to work in a splitting field. In Section 3 we will define what it means for a field extension to be separable and then prove the primitive ...

The aim of this study is investigation on effect of stem end splitting and Geranium essential oil on vase life on quality of cut chrysanthemum (Dendranthema grandiflorum L.). This experiment arranged as factorial based on RCD with 2 factors of stem end splitting at 2 levels (with splitting and without splitting) and Geranium essential oil at 6 levels (0, 1, 2, 4, 8 and 10 %), with 12 treatments...