34,040 research outputs found
Czech Medieval Codifications: The Code of Vladislav (1500)
Legal culture in the Czech lands was based on customary law. The nobility did not trust codification efforts of the Bohemian kings Přemysl Ottokar II and Wenceslaus II. Wenceslaus' codification efforts were finally executed only in the sphere of special laws. Charles IV, King of Bohemia and Roman Emperor, tried to publish the Maiestas Carolina code in 1355. The last law code was written under King Vladislav II Jagiellon in 1500 (“Vladislavské zřízení zemské” / “The Code of Vladislav”). The essay follows the article “Czech Codifications in the High Middle Ages” published in 2014 and closely introduces the Vladislav Code
Field-induced dynamics in the quantum Brownian oscillator: An exact treatment
We consider a quantum linear oscillator coupled to a bath in equilibrium at
an arbitrary temperature and then exposed to an external field arbitrary in
form and strength. We then derive the reduced density operator in closed form
of the coupled oscillator in a non-equilibrium state at an arbitrary time.Comment: Accepted for publication in Physics Letters
Angular analysis of bremsstrahlung in alpha decay
A new quantum electrodynamical method of calculations of bremsstrahlung
spectra in the -decay of heavy nuclei taking into account the angle
between the directions of -particle motion (or its tunneling) and
photon emission is presented. The angular bremsstrahlung spectra for
have been obtained for the first time. According to calculations,
the bremsstrahlung in the -decay of this nucleus depends extremely
weakly on the angle. Taking into account nuclear forces, such dependence is not
changed visibly. An analytical formula of the angular dependence of the
bremsstrahlung spectra is proposed and gives its harmonic behavior. The
extremal values of the angle, at which the bremsstrahlung has maximal and
minimal values, has been found.Comment: 15 pages, 1 file of figure in EPS format, LaTeX v.2e with EPJ style.
In the new variant of the paper: 1) more attention is given to a convergence
problem of computer calculations of the bremsstrahlung spectra; 2) a new
section with inclusion of Woods-Saxon component in construction of the total
realistic -nucleus potential into our model (with our first
brermsstrahlung spectra for at such potential) is included into
the paper; 3) possible ways of further improvement of the quantum-mechanical
models are pointed ou
Transmutations and spectral parameter power series in eigenvalue problems
We give an overview of recent developments in Sturm-Liouville theory
concerning operators of transmutation (transformation) and spectral parameter
power series (SPPS). The possibility to write down the dispersion
(characteristic) equations corresponding to a variety of spectral problems
related to Sturm-Liouville equations in an analytic form is an attractive
feature of the SPPS method. It is based on a computation of certain systems of
recursive integrals. Considered as families of functions these systems are
complete in the -space and result to be the images of the nonnegative
integer powers of the independent variable under the action of a corresponding
transmutation operator. This recently revealed property of the Delsarte
transmutations opens the way to apply the transmutation operator even when its
integral kernel is unknown and gives the possibility to obtain further
interesting properties concerning the Darboux transformed Schr\"{o}dinger
operators.
We introduce the systems of recursive integrals and the SPPS approach,
explain some of its applications to spectral problems with numerical
illustrations, give the definition and basic properties of transmutation
operators, introduce a parametrized family of transmutation operators, study
their mapping properties and construct the transmutation operators for Darboux
transformed Schr\"{o}dinger operators.Comment: 30 pages, 4 figures. arXiv admin note: text overlap with
arXiv:1111.444
Continuous-time quantum walk on integer lattices and homogeneous trees
This paper is concerned with the continuous-time quantum walk on Z, Z^d, and
infinite homogeneous trees. By using the generating function method, we compute
the limit of the average probability distribution for the general isotropic
walk on Z, and for nearest-neighbor walks on Z^d and infinite homogeneous
trees. In addition, we compute the asymptotic approximation for the probability
of the return to zero at time t in all these cases.Comment: The journal version (save for formatting); 19 page
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