The eigen-energies are roots of a transcendental equation involving the complete elliptic integrals of the first and second kind. Employing the momentum representation, he calculates the eigen-energies of the electrons in frame of the WKB approach.
The author considers the approximate form of the Kane function for the conduction band well-known in the theory of narrow-gap semiconductors. It is defined by the Schrodinger-Wannier equation in which the potential-energy term represents the zero-centred quadratic well and in which the `kinetic-energy' term is chosen as an operator corresponding to the conduction-electron dispersion function of the Kane two-band theory. Kane oscillator in the quasi-classical approximationĪbstract: The 1D Kane oscillator is analysed. It is shown that in case of TLS the single-pulse echo formation is characterized by some specificity due to the wide distribution of the TLS splitting energy. Single-pulse spin echo in two-level systems inside amorphous ferromagnetsĪbstract: In the case of applied distorted pulse, the single pulse echo in amorphous magnets, caused by the tunneling two-level systems located inside 180$^\cir$ Bloch walls has been studied. Generally, four significant temperature regions on TG curves with the respective DTA peak temperature for all types of samples are observed. It is shown, that for certain values of parameters $p_$C in air atmosphere. In this paper the protection of unknown states of qubits via symmetrisation with the help of the universal quantum entangler is discussed. Stabilization via covariant symmetrizationĪbstract: Quantum information encoded in a pure state of a single qubit is very fragile in a sense that under the errors induced by the environment the original information is deteriorated. It is shown how the properties of the centrifugal force are closely related to the properties of the optical reference geometry embedding diagrams. The inertial and gravitational forces related to the optical reference geometry are introduced and specified for the circular motion. The inner region is limited from below by particles with zero angular momentum that are located in stable equilibrium positions. On the other hand, around some naked singularities, both asymptotically de Sitter and anti-de Sitter, even two separated regions with stable circular geodesics exist. In all asymptotically anti-de Sitter black-hole spacetimes and some asymptotically de Sitter black-hole spacetimes a region containing stable circular geodesics exists, which allows accretion processes in the disk regime. The spacetimes are divided in their parameter space into separated parts according to different character of the effective potential and properties of the circular geodesics. Motion of test particles (timelike geodesics for uncharged particles) and photons (null geodesics) is described in terms of an appropriate `effective potential.' Circular geodesics are discussed and photon escape cones are determined. Both the asymptotically de Sitter ($\Lambda > 0$) and anti-de Sitter ($\Lambda <0$) spacetimes are considered and compared with the asymptotically flat ($\Lambda = 0$) spacetimes. Properties of the Reissner-Nordstrom spacetimes with a nonzero cosmological constantĪbstract: Properties of the Reissner-Nordstrom black-hole and naked-singularity spacetimes with a nonzero cosmological constant $\Lambda$ are represented by their geodetical structure and embedding diagrams of the central planes of both the ordinary geometry and associated optical reference geometry. ACTA PHYSICA SLOVACA acta physica slovaca
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