The Experts below are selected from a list of 270 Experts worldwide ranked by ideXlab platform
C. Cari - One of the best experts on this subject based on the ideXlab platform.
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The solution of 4-dimensional Schrodinger equation for Scarf potential and its Partner potential constructed By SUSY QM
Journal of Physics: Conference Series, 2017Co-Authors: Wahyulianti, A. Suparmi, C. CariAbstract:The Angular Part of 4-dimensional Schrodinger equation for Scarf potential was solved by using the Nikiforov-Uvarov method and Supersymmetric Quantum Mechanic method. The determination of the ground state wave function has been used Nikiforov-Uvarov method and by applying the parametric generalization of the hypergeometric type equation. By using manipulation of the properties and operators of the Supersymmetric Quantum Mechanic method the Partner potential was constructed. The ground state wave functions of original Scarf potential is different than the ground state wave functions of the construction result potential.
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Solution of Five-dimensional Schrodinger equation for Kratzer’s potential and trigonometric tangent squared potential with asymptotic iteration method (AIM)
Journal of Physics: Theories and Applications, 2017Co-Authors: Agung Budi Prakoso, A. Suparmi, C. CariAbstract:Non-relativistic bound-energy of diatomic molecules determined by non-central potentials in five dimensional solution using AIM. Potential in five dimensional space consist of Kratzer’s potential for radial Part and Tangent squared potential for Angular Part. By varying n r , n 1 , n 2 , n 3 , dan n 4 quantum number on CO, NO, dan I 2 diatomic molecules affect bounding energy values. It knows from its numerical data.
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Solution of Dirac equation for modified Poschl Teller plus trigonometric Scarf potential using Romanovsky polynomials method
Journal of Physics: Conference Series, 2016Co-Authors: I. Prastyaningrum, C. Cari, A. SuparmiAbstract:The approximation analytical solution of Dirac equation for Modified Poschl Teller plus Trigonometric Scarf Potential are investigated numerically in terms of finite Romanovsky Polynomial. The combination of two potentials are substituted into Dirac Equation then the variables are separated into radial and Angular Parts. The Dirac equation is solved by using Romanovsky Polynomial Method. The equation that can reduce from the second order of differential equation into the differential equation of hypergeometry type by substituted variable method. The energy spectrum is numerically solved using Matlab 2011. Where the increase in the radial quantum number nr and variable of modified Poschl Teller Potential causes the energy to decrease. The radial and the Angular Part of the wave function also visualized with Matlab 2011. The results show, by the disturbance of a combination between this potential can change the wave function of the radial and Angular Part.
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Approximate analytical solution of the Dirac equation for pseudospin symmetry with modified Po schl-Teller potential and trigonometric Scarf II non-central potential using asymptotic iteration method
Journal of Physics: Conference Series, 2016Co-Authors: Beta Nur Pratiwi, C. Cari, A. Suparmi, Andri Husein, Mohtar YuniantoAbstract:We apllied asymptotic iteration method (AIM) to obtain the analytical solution of the Dirac equation in case exact pseudospin symmetry in the presence of modified Pcischl- Teller potential and trigonometric Scarf II non-central potential. The Dirac equation was solved by variables separation into one dimensional Dirac equation, the radial Part and Angular Part equation. The radial and Angular Part equation can be reduced into hypergeometric type equation by variable substitution and wavefunction substitution and then transform it into AIM type equation to obtain relativistic energy eigenvalue and wavefunctions. Relativistic energy was calculated numerically by Matlab software. And then relativistic energy spectrum and wavefunctions were visualized by Matlab software. The results show that the increase in the radial quantum number nr causes decrease in the relativistic energy spectrum. The negative value of energy is taken due to the pseudospin symmetry limit. Several quantum wavefunctions were presented in terms of the hypergeometric functions.
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Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method
Chinese Physics B, 2016Co-Authors: Resita Arum Sari, A. Suparmi, C. CariAbstract:The Dirac equation for Eckart potential and trigonometric Manning Rosen potential with exact spin symmetry is obtained using an asymptotic iteration method. The combination of the two potentials is substituted into the Dirac equation,then the variables are separated into radial and Angular Parts. The Dirac equation is solved by using an asymptotic iteration method that can reduce the second order differential equation into a differential equation with substitution variables of hypergeometry type. The relativistic energy is calculated using Matlab 2011. This study is limited to the case of spin symmetry. With the asymptotic iteration method, the energy spectra of the relativistic equations and equations of orbital quantum number l can be obtained, where both are interrelated between quantum numbers. The energy spectrum is also numerically solved using the Matlab software, where the increase in the radial quantum number nr causes the energy to decrease. The radial Part and the Angular Part of the wave function are defined as hypergeometry functions and visualized with Matlab 2011. The results show that the disturbance of a combination of the Eckart potential and trigonometric Manning Rosen potential can change the radial Part and the Angular Part of the wave function.
A. Suparmi - One of the best experts on this subject based on the ideXlab platform.
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The solution of 4-dimensional Schrodinger equation for Scarf potential and its Partner potential constructed By SUSY QM
Journal of Physics: Conference Series, 2017Co-Authors: Wahyulianti, A. Suparmi, C. CariAbstract:The Angular Part of 4-dimensional Schrodinger equation for Scarf potential was solved by using the Nikiforov-Uvarov method and Supersymmetric Quantum Mechanic method. The determination of the ground state wave function has been used Nikiforov-Uvarov method and by applying the parametric generalization of the hypergeometric type equation. By using manipulation of the properties and operators of the Supersymmetric Quantum Mechanic method the Partner potential was constructed. The ground state wave functions of original Scarf potential is different than the ground state wave functions of the construction result potential.
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Solution of Five-dimensional Schrodinger equation for Kratzer’s potential and trigonometric tangent squared potential with asymptotic iteration method (AIM)
Journal of Physics: Theories and Applications, 2017Co-Authors: Agung Budi Prakoso, A. Suparmi, C. CariAbstract:Non-relativistic bound-energy of diatomic molecules determined by non-central potentials in five dimensional solution using AIM. Potential in five dimensional space consist of Kratzer’s potential for radial Part and Tangent squared potential for Angular Part. By varying n r , n 1 , n 2 , n 3 , dan n 4 quantum number on CO, NO, dan I 2 diatomic molecules affect bounding energy values. It knows from its numerical data.
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Solution of Dirac equation for modified Poschl Teller plus trigonometric Scarf potential using Romanovsky polynomials method
Journal of Physics: Conference Series, 2016Co-Authors: I. Prastyaningrum, C. Cari, A. SuparmiAbstract:The approximation analytical solution of Dirac equation for Modified Poschl Teller plus Trigonometric Scarf Potential are investigated numerically in terms of finite Romanovsky Polynomial. The combination of two potentials are substituted into Dirac Equation then the variables are separated into radial and Angular Parts. The Dirac equation is solved by using Romanovsky Polynomial Method. The equation that can reduce from the second order of differential equation into the differential equation of hypergeometry type by substituted variable method. The energy spectrum is numerically solved using Matlab 2011. Where the increase in the radial quantum number nr and variable of modified Poschl Teller Potential causes the energy to decrease. The radial and the Angular Part of the wave function also visualized with Matlab 2011. The results show, by the disturbance of a combination between this potential can change the wave function of the radial and Angular Part.
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Approximate analytical solution of the Dirac equation for pseudospin symmetry with modified Po schl-Teller potential and trigonometric Scarf II non-central potential using asymptotic iteration method
Journal of Physics: Conference Series, 2016Co-Authors: Beta Nur Pratiwi, C. Cari, A. Suparmi, Andri Husein, Mohtar YuniantoAbstract:We apllied asymptotic iteration method (AIM) to obtain the analytical solution of the Dirac equation in case exact pseudospin symmetry in the presence of modified Pcischl- Teller potential and trigonometric Scarf II non-central potential. The Dirac equation was solved by variables separation into one dimensional Dirac equation, the radial Part and Angular Part equation. The radial and Angular Part equation can be reduced into hypergeometric type equation by variable substitution and wavefunction substitution and then transform it into AIM type equation to obtain relativistic energy eigenvalue and wavefunctions. Relativistic energy was calculated numerically by Matlab software. And then relativistic energy spectrum and wavefunctions were visualized by Matlab software. The results show that the increase in the radial quantum number nr causes decrease in the relativistic energy spectrum. The negative value of energy is taken due to the pseudospin symmetry limit. Several quantum wavefunctions were presented in terms of the hypergeometric functions.
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Solution of Dirac equation for Eckart potential and trigonometric Manning Rosen potential using asymptotic iteration method
Chinese Physics B, 2016Co-Authors: Resita Arum Sari, A. Suparmi, C. CariAbstract:The Dirac equation for Eckart potential and trigonometric Manning Rosen potential with exact spin symmetry is obtained using an asymptotic iteration method. The combination of the two potentials is substituted into the Dirac equation,then the variables are separated into radial and Angular Parts. The Dirac equation is solved by using an asymptotic iteration method that can reduce the second order differential equation into a differential equation with substitution variables of hypergeometry type. The relativistic energy is calculated using Matlab 2011. This study is limited to the case of spin symmetry. With the asymptotic iteration method, the energy spectra of the relativistic equations and equations of orbital quantum number l can be obtained, where both are interrelated between quantum numbers. The energy spectrum is also numerically solved using the Matlab software, where the increase in the radial quantum number nr causes the energy to decrease. The radial Part and the Angular Part of the wave function are defined as hypergeometry functions and visualized with Matlab 2011. The results show that the disturbance of a combination of the Eckart potential and trigonometric Manning Rosen potential can change the radial Part and the Angular Part of the wave function.
D. Yafaev - One of the best experts on this subject based on the ideXlab platform.
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Radiation conditions and scattering theory forN-Particle Hamiltonians
Communications in Mathematical Physics, 1993Co-Authors: D. YafaevAbstract:The correct form of the Angular Part of radiation conditions is found in scattering problem for N -Particle quantum systems. The estimates obtained allow us to give an elementary proof of asymptotic completeness for such systems in the framework of the theory of smooth perturbations.
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Radiation conditions and scattering theory for $N$-Particle Hamiltonians
Communications in Mathematical Physics, 1993Co-Authors: D. YafaevAbstract:The correct form of the Angular Part of radiation conditions is found in scattering problem forN-Particle quantum systems. The estimates obtained allow us to give an elementary proof of asymptotic completeness for such systems in the framework of the theory of smooth perturbations.
Francisco M. Fernández - One of the best experts on this subject based on the ideXlab platform.
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Comment on 'Effective polar potential in the central force Schrodinger equation'
2010Co-Authors: Francisco M. Fernández, Casilla De CorreoAbstract:Abstract. We analyze a recent pedagogical proposal for an alternative treatment ofthe Angular Part of the Schr¨odinger equation with a central potential. We show thatthe authors’ arguments are unclear, unconvincing and misleading. In a recent paper Shikakhwa and Mustafa [1] put forward an alternative pedagogicaldiscussion of the Angular Part of the solution to the Schro¨dinger equation for a quantum–mechanical model with a central force:−¯h 2 2m∇ 2 ψ+V(r)ψ= Eψ (1)They devoted Part of the paper to show that this equation is separable in sphericalcoordinates: ψ(r,θ,φ) = R(r)Θ(θ)e imφ , where m= 0,±1,..., a discussion that appearsin almost every introductory textbook on quantum mechanics or quantum chemistry[2,3].In Particular, the authors concentrated on the polar equation1sinθddθsinθdΘdθ−m 2 sin 2 θ= −l(l+1)Θ (2)where l = 0,1,...is the Angular–momentum quantum number. They proposed toconvert this Sturm–Liouville equation into the Schro¨dinger–like one−12d 2 y(θ)dθ 2 +m 2 − 14 2sin 2 θy(θ) = Wy(θ) (3)where y(θ) = sin
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Comment on `Effective polar potential in the central force Schr\"odinger equation'
arXiv: Quantum Physics, 2010Co-Authors: Francisco M. FernándezAbstract:We analyze a recent pedagogical proposal for an alternative treatment of the Angular Part of the Schr\"odinger equation with a central potential. We show that the authors' arguments are unclear, unconvincing and misleading.
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Comment on `Effective polar potential in the central force Schr\
arXiv: Quantum Physics, 2010Co-Authors: Francisco M. FernándezAbstract:We analyze a recent pedagogical proposal for an alternative treatment of the Angular Part of the Schr\"odinger equation with a central potential. We show that the authors' arguments are unclear, unconvincing and misleading.
V S Melezhik - One of the best experts on this subject based on the ideXlab platform.
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Mathematical Modeling of Resonant Processes in Confined Geometry of Atomic and Atom-Ion Traps
Epj Web of Conferences, 2018Co-Authors: V S MelezhikAbstract:We discuss computational aspects of the developed mathematical models for resonant processes in confined geometry of atomic and atom-ion traps. The main attention is paid to formulation in the nondirect product discrete-variable representation (npDVR) of the multichannel scattering problem with nonseparable Angular Part in confining traps as the boundary-value problem. Computational efficiency of this approach is demonstrated in application to atomic and atom-ion confinement-induced resonances we predicted recently.
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multichannel scattering problem with a nonseparable Angular Part as a boundary value problem
Physical Review E, 2017Co-Authors: Shahpoor Saeidian, V S MelezhikAbstract:: We have developed an efficient computational method for solving the quantum multichannel scattering problem with a nonseparable Angular Part. The use of the nondirect product discrete-variable representation, suggested and developed by V. Melezhik, gives us an accurate approximation for the Angular Part of the desired wave function and, eventually, for the scattering parameters. Subsequent reduction of the problem to the boundary-value problem with well-defined block-band matrix of equation coefficients permits us to use efficient standard algorithms for its solution. We demonstrate the numerical efficiency, flexibility, and good convergence of the computational scheme in a quantitative description of the Feshbach resonances in pair collisions occurring in atomic traps and the scattering in strongly anisotropic traps. The method can also be used for the investigation of further actual problems in quantum physics. A natural extension is a description of spin-orbit coupling, intensively investigated in ultracold gases, and dipolar confinement-induced resonances.
