Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl
Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 19

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

Quantum cards and quantum rods

100%
Batista M., Peternelj J.
Open Physics
|
2008
|
vol. 6
|
issue 1
171-177
EN
Quantum mechanical analysis of a rigid rod with one end fixed to a flat table is presented. Assuming that the rod is initally in the upright orientation, “the time of fall” is calculated using WKB wavefunctions representing energy eigenstates near the barrier summit.
2
Content available remote

A concise quantum mechanical treatment of the forced damped harmonic oscillator

81%
Li T.
Open Physics
|
2008
|
vol. 6
|
issue 4
891-894
EN
By selecting a right generalized coordinate X, which contains the general solutions of the classical motion equation of a forced damped harmonic oscillator, we obtain a simple Hamiltonian which does not contain time for the oscillator such that Schrödinger equation and its solutions can be directly written out in X representation. The wave functin in x representation are also given with the help of the eigenfunctions of the operator $$ \hat X $$ in x representation. The evolution of $$ \left\langle {\hat x} \right\rangle $$ is the same as in the classical mechanics, and the uncertainty in position is independent of an external influence; one part of energy mean is quantized and attenuated, and the other is equal to the classical energy.
3
Content available remote

Ionization effects and linear stability in a coaxial plasma device

81%
Kurt E., Kurt H., Bayhan U.
Open Physics
|
2009
|
vol. 7
|
issue 1
123-129
EN
A 2-D computer simulation of a coaxial plasma device depending on the conservation equations of electrons, ions and excited atoms together with the Poisson equation for a plasma gun is carried out. Some characteristics of the plasma focus device (PF) such as critical wave numbers a c and voltages U c in the cases of various pressures Pare estimated in order to satisfy the necessary conditions of traveling particle densities (i.e. plasma patterns) via a linear analysis. Oscillatory solutions are characterized by a nonzero imaginary part of the growth rate $$ \Im $$(σ) for all cases. The model also predicts the minimal voltage ranges of the system for certain pressure intervals.
4
Content available remote

Generalized linear Schrödinger equations and their Darboux transformations

81%
Schulze-Halberg A.
Open Physics
|
2008
|
vol. 6
|
issue 3
654-661
EN
We construct explicit Darboux transformations of arbitrary order for a class of generalized, linear Schrödinger equations. Our construction contains the well-known Darboux transformations for Schrödinger equations with position-dependent mass, Schrödinger equations coupled to a vector potential and Schrödinger equations for weighted energy.
5
Content available remote

The asymptotic iteration method applied to certain quasinormal modes and non Hermitian systems

81%
Özer O., Roy P.
Open Physics
|
2009
|
vol. 7
|
issue 4
747-752
EN
We study the Schrödinger equation with potentials admitting quasinormal modes using the asymptotic iteration method (AIM). We also study non-Hermitian PT symmetric potentials using AIM. The spectra, in all cases, are found to be in excellent agreement with exact results.
6
Content available remote

Supersymmetry of time-dependent Schrödinger equations with effective mass

81%
Schulze-Halberg A.
|
EN
We establish the supersymmetry formalism for time-dependent Schrödinger equations with effective mass and show that the corresponding supersymmetric transformations are equivalent to effective mass Darboux transformations
7
Content available remote

Analytic wave functions and energies for two-dimensional $$ \mathcal{P}\mathcal{T} $$-symmetric quartic potentials

81%
Tichý V., Skála L.
|
EN
Analytic wave functions and the corresponding energies for a class of the $$ \mathcal{P}\mathcal{T} $$-symmetric two-dimensional quartic potentials are found. The general form of the solutions is discussed.
8
Content available remote

On solutions of the Schrödinger equation for some molecular potentials: wave function ansatz

62%
Ikhdair S., Sever R.
Open Physics
|
2008
|
vol. 6
|
issue 3
697-703
EN
Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrödinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, δ and ν are also given, where η depends on a linear combination of the angular momentum quantum number ℓ and the spatial dimensions D and δ is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.
9
Content available remote

The Klein-Gordon equation with the Kratzer potential in d dimensions

62%
Saad N., Hall R., Ciftci H.
Open Physics
|
2008
|
vol. 6
|
issue 3
717-729
EN
We apply the Asymptotic Iteration Method to obtain the bound-state energy spectrum for the d-dimensional Klein-Gordon equation with scalar S(r) and vector potentials V(r). When S(r) and V(r) are both Coulombic, we obtain all the exact solutions; when the potentials are both of Kratzer type, we obtain all the exact solutions for S(r) = V(r); if S(r) > V(r) we obtain exact solutions under certain constraints on the potential parameters: in this case, a possible general solution is found in terms of a monic polynomial, whose coefficients form a set of elementary symmetric polynomials.
10
Content available remote

Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential

62%
Ikhdair S., Sever R.
Open Physics
|
2008
|
vol. 6
|
issue 1
141-152
EN
The Klein-Gordon equation in D-dimensions for a recently proposed ring-shaped Kratzer potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the non-central equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three dimensions given by other works.
11
Content available remote

Arbitrary /-state approximate solutions of the Hulthén potential through the exact quantization rule

62%
Qiang W.-C., Gao Y., Zhou R.-S.
Open Physics
|
2008
|
vol. 6
|
issue 2
356-362
EN
In this paper, using the Exact Quantization Rule, we present approximate analytical solutions of the radial Schrödinger equation with non-zero l values for the Hulthén potential in the frame of an approximation to the centrifugal potential for any l states. The energy levels of all bound states can be easily calculated from the Exact Quantization Rule. Specifically, the normalized analytical wave functions are also obtained. Some energy eigenvalues are numerically calculated and compared with those obtained by other methods such as asymptotic iteration, supersymmetry, numerical integration methods, and the schroedinger Mathematica package.
12
Content available remote

Asymptotics of Resonances Induced by Point Interactions

62%
Lipovský J., Lotoreichik V.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 6
1677-1682
EN
We consider the resonances of the self-adjoint three-dimensional Schrödinger operator with point interactions of constant strength supported on the set X={xₙ}_{n=1}^{N}. The size of X is defined by V_{X} = max_{π ∈ Π_{N}} ∑_{n=1}^{N} |xₙ - x_{π(n)}|, where Π_{N} is the family of all the permutations of the set {1,2,...,N}. We prove that the number of resonances counted with multiplicities and lying inside the disc of radius R behaves asymptotically linear W_{X}/πR + O(1) as R → ∞, where the constant W_{X} ∈ [0,V_{X}] can be seen as the effective size of X. Moreover, we show that there exist a configuration of any number of points such that W_{X}=V_{X}. Finally, we construct an example for N=4 with W_{X} < V_{X}, which can be viewed as an analogue of a quantum graph with non-Weyl asymptotics of resonances.
13
Content available remote

Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

62%
Guo J., Yu Y., Jin S.
Open Physics
|
2009
|
vol. 7
|
issue 1
168-174
EN
We have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential.
14
Content available remote

Exact solutions of the radial Schrödinger equation for some physical potentials

62%
Ikhdair S., Sever R.
|
EN
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.
15
Content available remote

Application of asymptotic iteration method to the Khare-Mandal and its PT-symmetric QES partner potential

62%
Özer O., Aslan V.
Open Physics
|
2008
|
vol. 6
|
issue 4
879-883
EN
We study the application of the asymptotic iteration method to the Khare-Mandal potential and its PT-symmetric partner. The eigenvalues and eigenfunctions for both potentials are obtained analytically. We have shown that although the quasi-exactly solvable energy eigenvalues of the Khare-Mandal potential are found to be in complex conjugate pairs for certain values of potential parameters, its PT-symmetric partner exhibits real energy eigenvalues in all cases.
16
Content available remote

Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry

52%
Ikhdair S., Sever R.
Open Physics
|
2010
|
vol. 8
|
issue 4
652-666
EN
We study the approximate analytical solutions of the Dirac equation for the generalized Woods-Saxon potential with the pseudo-centrifugal term. We apply the Nikiforov-Uvarov method (which solves a second-order linear differential equation by reducing it to a generalized hypergeometric form) to spin- and pseudospin-symmetry to obtain, in closed form, the approximately analytical bound state energy eigenvalues and the corresponding upper- and lower-spinor components of two Dirac particles. The special cases κ = ±1 (s = $$ \tilde l $$ = 0, s-wave) and the non-relativistic limit can be reached easily and directly for the generalized and standard Woods-Saxon potentials. We compare the non-relativistic results with those obtained by others.
17
Content available remote

The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term

52%
Wei G.-F., Zhen Z.-Z., Dong S.-H.
Open Physics
|
2009
|
vol. 7
|
issue 1
175-183
EN
The approximately analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the mixed Manning-Rosen potentials are carried out by an improved new approximation to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Manning-Rosen potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states, reduce to the bound states of those at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and the special case for wave is studied briefly.
18
Content available remote

Pseudospin symmetry and a double ring-shaped spherical harmonic oscillator potential

52%
Zhang M.-C.
Open Physics
|
2009
|
vol. 7
|
issue 4
768-773
EN
A new double ring-shaped spherical harmonic oscillator potential is presented. The pseudospin symmetry in this system is investigated by solving the Dirac equation with equal mixture of scalar and vector potentials with opposite signs. The normalized spinor wave function and energy equation are obtained and some particular cases are discussed.
19
Content available remote

Schrödinger spectrum generated by the Cornell potential

42%
Hall R. L., Saad N.
Open Physics
|
2015
|
vol. 13
|
issue 1
EN
The eigenvalues Ednl (a, c) of the d-dimensional Schrödinger equation with the Cornell potential V(r) = −a/r + c r, a, c > 0 are analyzed by means of the envelope method and the asymptotic iteration method (AIM). Scaling arguments show that it is suffcient to know E(1, λ), and the envelope method provides analytic bounds for the equivalent complete set of coupling functions λ(E). Meanwhile the easily-implemented AIM procedure yields highly accurate numerical eigenvalues with little computational effort.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.