The Experts below are selected from a list of 9675 Experts worldwide ranked by ideXlab platform
Sameer M Ikhdair - One of the best experts on this subject based on the ideXlab platform.
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approximate eigensolutions of dirac equation for the superposition hellmann Potential under spin and pseudospin symmetries
Pramana, 2014Co-Authors: M Hamzavi, Sameer M IkhdairAbstract:The Hellmann Potential is simply a superposition of an attractive Coulomb Potential −a/r plus a Yukawa Potential be−δ r /r. The generalized parametric Nikiforov–Uvarov (NU) method is used to examine the approximate analytical energy eigenvalues and two-component wave function of the Dirac equation with the Hellmann Potential for arbitrary spin-orbit quantum number κ in the presence of exact spin and pseudospin (p-spin) symmetries. As a particular case, we obtain the energy eigenvalues of the pure Coulomb Potential in the non-relativistic limit.
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approximate solution of the duffin kemmer petiau equation for a vector Yukawa Potential with arbitrary total angular momenta
Few-body Systems, 2013Co-Authors: M Hamzavi, Sameer M IkhdairAbstract:The usual approximation scheme is used to study the solution of the Duffin–Kemmer–Petiau (DKP) equation for a vector Yukawa Potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for any total angular momentum J in closed form. Further, the exact energy equation and wave function spinor components are also given for the J = 0 case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levels (n, J).
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approximate solution of the duffin kemmer petiau equation for a vector Yukawa Potential with arbitrary total angular momenta
arXiv: Quantum Physics, 2012Co-Authors: M Hamzavi, Sameer M IkhdairAbstract:The usual approximation scheme is used to study the solution of the Duffin-Kemmer-Petiau (DKP) equation for a vector Yukawa Potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for arbitrary total angular momentum in closed form. Further, the approximate energy equation and wave function spinor components are also given for case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levels
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approximate spin and pseudospin solutions to the dirac equation for the inversely quadratic Yukawa Potential and tensor interaction
Physica Scripta, 2012Co-Authors: M Hamzavi, Sameer M Ikhdair, B I ItaAbstract:We approximately solve the Dirac equation for the inversely quadratic Yukawa Potential including a Coulomb-like tensor Potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and pseudospin state doublets.
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a perturbative treatment for the energy levels of neutral atoms
arXiv: Quantum Physics, 2005Co-Authors: Sameer M Ikhdair, R SeverAbstract:Energy levels of neutral atoms have been re-examined by applying an alternative perturbative scheme in solving the Schrodinger equation for the Yukawa Potential model with a modified screening parameter. The predicted shell binding energies are found to be quite accurate over the entire range of the atomic number $Z$ up to 84 and compare very well with those obtained within the framework of hyper-virial-Pade scheme and the method of shifted large-N expansion. It is observed that the new perturbative method may also be applied to the other areas of atomic physics.
Srikanth Sastry - One of the best experts on this subject based on the ideXlab platform.
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inverse design of charged colloidal particle interactions for self assembly into specified crystal structures
Journal of Chemical Physics, 2019Co-Authors: Rajneesh Kumar, Gabriele M Coli, Marjolein Dijkstra, Srikanth SastryAbstract:: We study the inverse problem of tuning interaction parameters between charged colloidal particles interacting with a hard-core repulsive Yukawa Potential, so that they assemble into specified crystal structures. Here, we target the body-centered-cubic (bcc) structure which is only stable in a small region in the phase diagram of charged colloids and is, therefore, challenging to find. In order to achieve this goal, we use the statistical fluctuations in the bond orientational order parameters to tune the interaction parameters for the bcc structure, while initializing the system in the fluid phase, using the Statistical Physics-inspired Inverse Design algorithm. We also find that this optimization algorithm correctly senses the fluid-solid phase boundaries for charged colloids. Finally, we repeat the procedure employing the covariance matrix adaptation-evolution strategy, a cutting edge optimization technique, and compare the relative efficacy of the two methods.
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inverse design of charged colloidal particle interactions for self assembly into specified crystal structures
arXiv: Soft Condensed Matter, 2019Co-Authors: Rajneesh Kumar, Gabriele M Coli, Marjolein Dijkstra, Srikanth SastryAbstract:We study the inverse problem of tuning interaction parameters between charged colloidal particles interacting with a hard-core repulsive Yukawa Potential, so that they assemble into specified crystal structures. Here, we target the body-centered-cubic (bcc) structure which is only stable in a small region in the phase diagram of charged colloids and is, therefore, challenging to find. In order to achieve this goal, we use the statistical fluctuations in the bond orientational order parameters to tune the interaction parameters for the bcc structure, while initializing the system in the fluid phase, using the Statistical Physics-inspired Inverse Design (SP-ID) algorithm [1]. We also find that this optimization algorithm correctly senses the fluid-solid phase boundaries for charged colloids. Finally, we repeat the procedure employing the Covariance Matrix Adaptation - Evolution Strategy (CMA-ES), a cutting edge optimization technique, and compare the relative efficacy of the two methods.
M Hamzavi - One of the best experts on this subject based on the ideXlab platform.
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approximate eigensolutions of dirac equation for the superposition hellmann Potential under spin and pseudospin symmetries
Pramana, 2014Co-Authors: M Hamzavi, Sameer M IkhdairAbstract:The Hellmann Potential is simply a superposition of an attractive Coulomb Potential −a/r plus a Yukawa Potential be−δ r /r. The generalized parametric Nikiforov–Uvarov (NU) method is used to examine the approximate analytical energy eigenvalues and two-component wave function of the Dirac equation with the Hellmann Potential for arbitrary spin-orbit quantum number κ in the presence of exact spin and pseudospin (p-spin) symmetries. As a particular case, we obtain the energy eigenvalues of the pure Coulomb Potential in the non-relativistic limit.
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approximate solution of the duffin kemmer petiau equation for a vector Yukawa Potential with arbitrary total angular momenta
Few-body Systems, 2013Co-Authors: M Hamzavi, Sameer M IkhdairAbstract:The usual approximation scheme is used to study the solution of the Duffin–Kemmer–Petiau (DKP) equation for a vector Yukawa Potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for any total angular momentum J in closed form. Further, the exact energy equation and wave function spinor components are also given for the J = 0 case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levels (n, J).
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approximate solution of the duffin kemmer petiau equation for a vector Yukawa Potential with arbitrary total angular momenta
arXiv: Quantum Physics, 2012Co-Authors: M Hamzavi, Sameer M IkhdairAbstract:The usual approximation scheme is used to study the solution of the Duffin-Kemmer-Petiau (DKP) equation for a vector Yukawa Potential in the framework of the parametric Nikiforov-Uvarov (NU) method. The approximate energy eigenvalue equation and the corresponding wave function spinor components are calculated for arbitrary total angular momentum in closed form. Further, the approximate energy equation and wave function spinor components are also given for case. A set of parameter values is used to obtain the numerical values for the energy states with various values of quantum levels
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approximate spin and pseudospin solutions to the dirac equation for the inversely quadratic Yukawa Potential and tensor interaction
Physica Scripta, 2012Co-Authors: M Hamzavi, Sameer M Ikhdair, B I ItaAbstract:We approximately solve the Dirac equation for the inversely quadratic Yukawa Potential including a Coulomb-like tensor Potential with arbitrary spin–orbit coupling quantum number κ. In the framework of the spin and pseudospin (pspin) symmetry, we obtain the energy eigenvalue equation and the corresponding eigenfunctions in closed form by using the Nikiforov–Uvarov method. The numerical results show that the Coulomb-like tensor interaction removes degeneracies between spin and pseudospin state doublets.
Rajneesh Kumar - One of the best experts on this subject based on the ideXlab platform.
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inverse design of charged colloidal particle interactions for self assembly into specified crystal structures
Journal of Chemical Physics, 2019Co-Authors: Rajneesh Kumar, Gabriele M Coli, Marjolein Dijkstra, Srikanth SastryAbstract:: We study the inverse problem of tuning interaction parameters between charged colloidal particles interacting with a hard-core repulsive Yukawa Potential, so that they assemble into specified crystal structures. Here, we target the body-centered-cubic (bcc) structure which is only stable in a small region in the phase diagram of charged colloids and is, therefore, challenging to find. In order to achieve this goal, we use the statistical fluctuations in the bond orientational order parameters to tune the interaction parameters for the bcc structure, while initializing the system in the fluid phase, using the Statistical Physics-inspired Inverse Design algorithm. We also find that this optimization algorithm correctly senses the fluid-solid phase boundaries for charged colloids. Finally, we repeat the procedure employing the covariance matrix adaptation-evolution strategy, a cutting edge optimization technique, and compare the relative efficacy of the two methods.
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inverse design of charged colloidal particle interactions for self assembly into specified crystal structures
arXiv: Soft Condensed Matter, 2019Co-Authors: Rajneesh Kumar, Gabriele M Coli, Marjolein Dijkstra, Srikanth SastryAbstract:We study the inverse problem of tuning interaction parameters between charged colloidal particles interacting with a hard-core repulsive Yukawa Potential, so that they assemble into specified crystal structures. Here, we target the body-centered-cubic (bcc) structure which is only stable in a small region in the phase diagram of charged colloids and is, therefore, challenging to find. In order to achieve this goal, we use the statistical fluctuations in the bond orientational order parameters to tune the interaction parameters for the bcc structure, while initializing the system in the fluid phase, using the Statistical Physics-inspired Inverse Design (SP-ID) algorithm [1]. We also find that this optimization algorithm correctly senses the fluid-solid phase boundaries for charged colloids. Finally, we repeat the procedure employing the Covariance Matrix Adaptation - Evolution Strategy (CMA-ES), a cutting edge optimization technique, and compare the relative efficacy of the two methods.
Sergey K. Zhdanov - One of the best experts on this subject based on the ideXlab platform.
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Scattering in the Attractive Yukawa Potential in the Limit of Strong Interaction
Physical Review Letters, 2003Co-Authors: Sergey A. Khrapak, Alexei V. Ivlev, Gregor Eugen Morfill, Sergey K. ZhdanovAbstract:Scattering in the attractive screened Coulomb (Yukawa) Potential in\nthe limit of strong interaction is investigated. It is shown that\nthe scattering occurs mostly with large angles. The corresponding\nmomentum-transfer cross section is calculated. The results are applied\nto estimate the ion drag force acting on an isolated micron-sized\ngrain in low-pressure bulk plasmas.
