Results 1 - 10 of 862
Results 1 - 10 of 862. Search took: 0.023 seconds
|Sort by: date | relevance|
[en] The Schroedinger's paradox is analysed, as an illustration of certain weaknesses of the Copenhagen's interpretation of quantum mechanics and of the limits of the quantum-mechanical description of phenomena. A realistic approach of the paradox indicates the necessity of a theory that would permit not only the calculation of probabilities, but also the description of physical processes, as taking place in space and time
[en] The Darboux transformation as an example of an integrable infinite-dimensional Poisson correspondence is discussed in the context of the general factorization problem. Generalization related to energy dependent Schroedinger operators and to Kac-Moody algebras are considered. The finite dimensional reductions of the Darboux transformation to stationary flows are given. 31 refs
[en] We construct a generalized Markov kernel which transforms the observable associated with the homodyne tomography into a covariant phase-space observable with a regular kernel state. Illustrative examples are given in the cases of a 'Schroedinger cat' kernel state and the Cahill-Glauber s-parametrized distributions. Also we consider an example of a kernel state when the generalized Markov kernel cannot be constructed.
[en] The time-dependent behaviour of a system of several interacting boson modes is described in coherent state basis. In the Schroedinger picture the unitary time development operator is used. The variation of the density operator for the whole system is described for arbitrary situations (even such without P-representation). The method is applied to the parametric amplification process with strong pump field. (author)
[en] A method for calculating the spontaneous emission power of several immobile dipole-interacting two-level atoms located in a volume of about the wavelength of resonance radiation has been proposed in the Schroedinger representation. It has been shown that two atoms cannot, but four atoms can, emit a superradiance pulse under the conditions corresponding to experiments with cold atoms in dipole traps. Various methods for determining the quasistationary mixed atomic states, as well as the generalization of this method to other resonance emitting systems, are discussed
[en] Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schroedinger operators are established, using Gaudin-type Bethe ansatz equations. In some instances the results can be extended leading to full isospectrality. In this manner we obtain equivalences between PT-symmetric problems and Hermitian problems. We also find equivalences between some classes of Hermitian operators
[en] We give an interpretation of the magnetic Schrödinger operator in terms of noncommutative geometry. In particular, spectral properties of this operator are reformulated in terms of C*-algebras. Using this reformulation, one can employ the machinery of noncommutative geometry, such as Hochschild cohomology, to study the properties of the magnetic Schrödinger operator. We show how this idea can be applied to the integer quantum Hall effect.
[en] The decay mechanism is considered in the one-axis twisting model and the two-counter twisting mode for three-qubit system. Exact expression of the final states and the maximal Wigner-Yanse skew information (MSI) are given for different model within the Schrodinger picture. One can find that the MSI is always in the plane (Sx, Sy) Due to the decay mechanism and the nonlinear interaction, the MSI can be modulated and stored. We give the condition for occurrence of GHZ state, in which the MSI can reach the extreme values 9/4. (authors)