36 research outputs found
Approximate Analytical Solutions of the Klein-Gordon Equation for Hulthen Potential with Position-Dependent Mass
The Klein-Gordon equation is solved approximately for the Hulth\'{e}n
potential for any angular momentum quantum number with the
position-dependent mass. Solutions are obtained reducing the Klein-Gordon
equation into a Schr\"{o}dinger-like differential equation by using an
appropriate coordinate transformation. The Nikiforov-Uvarov method is used in
the calculations to get an energy eigenvalue and and the wave functions. It is
found that the results in the case of constant mass are in good agreement with
the ones obtained in the literature.Comment: 15 pages, two table
Approximate Analytical Solutions of the Effective Mass Dirac Equation for the generalized Hulthen Potential with any kappa-Value
The Dirac equation, with position-dependent mass, is solved approximately for
the generalized Hulth\'{e}n potential with any spin-orbit quantum number
. Solutions are obtained by using an appropriate coordinate
transformation, reducing the effective mass Dirac equation to a
Schr\"{o}dinger-like differential equation. The Nikiforov-Uvarov method is used
in the calculations to obtain energy eigenvalues and the corresponding wave
functions. Numerical results are compared with those given in the literature.
Analytical results are also obtained for the case of constant mass and the
results are in good agreement with the literature.Comment: 13 page
Bound state solution of the Schrodinger equation for Mie potential
Exact solution of Schrodinger equation for the Mie potential is obtained for
an arbitrary angular momentum. The energy eigenvalues and the corresponding
wavefunctions are calculated by the use of the Nikiforov-Uvarov method.
Wavefunctions are expressed in terms of Jacobi polynomials. The bound states
are calculated numerically for some values of l and with n<5. They are
applied to several diatomic molecules.Comment: 10 page
Non-extensive study of Rigid and Non-rigid Rotators
The isotropic rigid and non-rigid rotators in the framework of Tsallis
statistics are studied in the high and low temperature limits. The generalized
partition functions, internal energies and heat capacities are calculated. It
has been found that results are in well agreement with the classical
Boltzmann-Gibbs statistics in the limiting Tsallis index. It has also been
observed that nonextensivity parameter q behaves like a scale parameter in the
low temperature regime.Comment: 11 Pages, 3 Figures, Late
Approximate Pseudospin and Spin Solutions of the Dirac Equation for a Class of Exponential Potentials
Dirac equation is solved for some exponential potentials, hypergeometric-type
potential, generalized Morse potential and Poschl-Teller potential with any
spin-orbit quantum number in the case of spin and pseudospin symmetry,
respectively. We have approximated for non s-waves the centrifugal term by an
exponential form. The energy eigenvalue equations, and the corresponding wave
functions are obtained by using the generalization of the Nikiforov-Uvarov
method.Comment: 14 page
Prunella vulgaris l. ve prunella grandiflora l.’den saflaştırılan rosmarinik asitin farklı tümör hücreleri üzerindeki sitotoksik aktivitesi
Rosmarinic acid was isolated from ethanol extractions obtained from Prunella grandiflora L. and P. vulgaris L. The total phenolic content of ethanol fractions during isolation was determined by the Folin-Ciocateu method. The cytotoxic doses of the isolated rosmarinic acid were determined by WST-1 (Roche Applied Sciences, Mannheim, Germany) cell proliferation assay. A 10-60ng cytotoxic dose was determined for pancreas (PANC-1), prostate (PC-3), colon (HT-29) and breast (MDAMB 436) cancers and GBM (T98G) cell lines and lymphatic tissues. 24 and 48h incubation periods were applied during dose
determinations. An antiproliferative effect was observed at the end of 48h incubation period with 50ng rosmaniric acid treatment in PC3 cell line and with 60ng treatment in PANC-1, HT-29, MDA-MB 436 and T98G cell lines. No cytotoxic activity of rosmarinic acid was observed in non-tumor cells.Bu çalışmada rosmarinik asit bileşiği, Prunella grandiflora L. ve P. vulgaris L. türlerinden elde edilen etanol
ekstraktlarından saflaştırılmıştır. Saflaştırma işlemi sırasında elde edilen metanol fraksiyonlarının toplam fenol içeriği FolinCiocalteu yöntemi ile belirlenmiştir. Prunella L. türlerinden saflaştırılan rosmarinik asitin farklı kanser hücreleri üzerinde WST-1 (Roche Applied Sciences, Mannheim, Almanya) yöntemiyle sitotoksik doz çalışmaları yapılmıştır. Buna göre pankreas (PANC-1), prostat (PC-3), kolon (HT-29) ve meme (MDA-MB 436) kanserleri ile GBM (T98G) hücre hatları ve lenf dokularında 10-60ng arasında sitotoksik doz belirlenmiştir. Sitotoksik doz belirleme çalışmaları için 24 ve 48 saat inkübasyon
süreleri çalışılmıştır. 48 saat inkübasyon süresi sonunda PC3 hücre hattı için 50ng ve PANC-1, HT-29, MDA-MB 436 ve T98G hücre hatları için 60ng rosmarinik asit uygulamasında antiproliferatif etki gözlenmiştir. Sağlıklı hücrelerde rosmarinik asitin sitotoksik etkisi gözlenmemiştir
Exact solution of Schrodinger equation for modified Kratzer's molecular potential with the position-dependent mass
Exact solutions of Schrodinger equation are obtained for the modified Kratzer
and the corrected Morse potentials with the position-dependent effective mass.
The bound state energy eigenvalues and the corresponding eigenfunctions are
calculated for any angular momentum for target potentials. Various forms of
point canonical transformations are applied. PACS numbers: 03.65.-w; 03.65.Ge;
12.39.Fd Keywords: Morse potential, Kratzer potential, Position-dependent mass,
Point canonical transformation, Effective mass Schr\"{o}dinger equation.Comment: 9 page
Effective Mass Dirac-Morse Problem with any kappa-value
The Dirac-Morse problem are investigated within the framework of an
approximation to the term proportional to in the view of the
position-dependent mass formalism. The energy eigenvalues and corresponding
wave functions are obtained by using the parametric generalization of the
Nikiforov-Uvarov method for any -value. It is also studied the
approximate energy eigenvalues, and corresponding wave functions in the case of
the constant-mass for pseudospin, and spin cases, respectively.Comment: 12 page
Analytical Solutions of Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller potential
The energy eigenvalues and the corresponding eigenfunctions of the
one-dimensional Klein-Gordon equation with q-parameter Poschl-Teller potential
are analytically obtained within the position-dependent mass formalism. The
parametric generalization of the Nikiforov-Uvarov method is used in the
calculations by choosing a mass distribution.Comment: 10 page
Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
Using the NU method [A.F.Nikiforov, V.B.Uvarov, Special Functions of
Mathematical Physics, Birkhauser,Basel,1988], we investigated the real
eigenvalues of the complex and/or - symmetric, non-Hermitian and the
exponential type systems, such as Poschl-Teller and Morse potentials.Comment: 14 pages, Late