The Experts below are selected from a list of 198 Experts worldwide ranked by ideXlab platform
Vesselin I Dimitrov - One of the best experts on this subject based on the ideXlab platform.
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hybrid symmetry conserving Variational Procedure for nuclear structure calculations
Physical Review C, 1994Co-Authors: Vesselin I DimitrovAbstract:A recently proposed hybrid Variational Procedure for nuclear structure calculations is improved and reformulated in a way that allows for going beyond the mean-field approximation. The numerical feasibility of the resulting approach is tested by applying it in the [ital s]-[ital d] shell. Selected examples demonstrate that the Procedure works equally well for odd-mass and even-mass nuclei, giving solutions that rapidly converge to the exact ones.
Manoj K Mishra - One of the best experts on this subject based on the ideXlab platform.
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initial state laser control of curve crossing reactions using the rayleigh ritz Variational Procedure
Journal of Chemical Physics, 1996Co-Authors: Peter Gross, Ashish K Gupta, Deepa B Bairagi, Manoj K MishraAbstract:A new two‐step Procedure for laser control of photodissociation is presented. In the first step of the Procedure, we show that control of photodissociation product yields can be exerted through preparation of the initial wave function prior to application of the photodissociation field in contrast to previous laser control studies where attention has focused on the design of the field which induces dissociation. Specifically, for a chosen channel from which maximum product yield is desired and a given photodissociation field, the optimal linear combination of vibrational eigenstates which comprise the initial wave function is found using a straightforward Variational calculation. Any photodissociation pulse shape and amplitude can be assumed since the Schrodinger equation is solved directly. Application of this method to control of product yields in the photodissociation of hydrogen iodide is demonstrated. The second step of the control Procedure involves the preparation of the coherent superposition of d...
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Initial state laser control of curve‐crossing reactions using the Rayleigh–Ritz Variational Procedure
Journal of Chemical Physics, 1996Co-Authors: Peter Gross, Ashish K Gupta, Deepa B Bairagi, Manoj K MishraAbstract:A new two‐step Procedure for laser control of photodissociation is presented. In the first step of the Procedure, we show that control of photodissociation product yields can be exerted through preparation of the initial wave function prior to application of the photodissociation field in contrast to previous laser control studies where attention has focused on the design of the field which induces dissociation. Specifically, for a chosen channel from which maximum product yield is desired and a given photodissociation field, the optimal linear combination of vibrational eigenstates which comprise the initial wave function is found using a straightforward Variational calculation. Any photodissociation pulse shape and amplitude can be assumed since the Schrodinger equation is solved directly. Application of this method to control of product yields in the photodissociation of hydrogen iodide is demonstrated. The second step of the control Procedure involves the preparation of the coherent superposition of d...
P. A. Terziev - One of the best experts on this subject based on the ideXlab platform.
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Variational Procedure leading from Davidson potentials to the E(5)and X(5) critical point symmetries
HNPS Proceedings, 2020Co-Authors: Dennis Bonatsos, D. Lenis, Nikolay Minkov, D. Petrellis, P. P. Raychev, P. A. TerzievAbstract:Davidson potentials of the form β^2 + β0^4/β^2, when used in the original Bohr Hamiltonian for γ-independent potentials bridge the U(5) and 0(6) symmetries. Using a Variational Procedure, we determine for each value of angular momentum L the value of β0 at which the derivative of the energy ratio RL = E(L)/E(2) with respect to β0 has a sharp maximum, the collection of RL values at these points forming a band which practically coincides with the ground state band of the E(5) model, corresponding to the critical point in the shape phase transition from U(5) to Ο(6). The same potentials, when used in the Bohr Hamiltonian after separating variables as in the X(5) model, bridge the U(5) and SU(3) symmetries, the same Variational Procedure leading to a band which practically coincides with the ground state band of the X(5) model, corresponding to the critical point of the U(5) to SU(3) shape phase transition. A new derivation of the Holmberg-Lipas formula for nuclear energy spectra is obtained as a by-product.
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e 5 and x 5 critical point symmetries obtained from davidson potentials through a Variational Procedure
Physical Review C, 2004Co-Authors: Dennis Bonatsos, D. Lenis, Nikolay Minkov, D. Petrellis, P. P. Raychev, P. A. TerzievAbstract:Davidson potentials of the form $\beta^2 +\beta_0^4/\beta^2$, when used in the E(5) framework, bridge the U(5) and O(6) symmetries, while they bridge the U(5) and SU(3) symmetries when used in the X(5) framework. Using a Variational Procedure, we determine for each value of angular momentum $L$ thevalue of $\beta_0$ at which the rate of change of various physical quantities (energy ratios, intraband B(E2) ratios, quadrupole moment ratios) has a maximum, the collection of the values of the physical quantity formed in this way being a candidate for describing its behavior at the relevant critical point. Energy ratios lead to the E(5) and X(5) results (whice correspond to an infinite well potential in $\beta$), while intraband B(E2) ratios and quadrupole moments lead to the E(5)-$\beta^4$ and X(5)-$\beta^4$ results, which correspond to the use of a $\beta^4$ potential in the relevant framework. A new derivation of the Holmberg-Lipas formula for nuclear energy spectra is obtained as a by-product.
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ground state bands of the e 5 and x 5 critical symmetries obtained from davidson potentials through a Variational Procedure
Physics Letters B, 2004Co-Authors: Dennis Bonatsos, D. Lenis, Nikolay Minkov, D. Petrellis, P. P. Raychev, P. A. TerzievAbstract:Abstract Davidson potentials of the form β 2 + β 0 4 / β 2 , when used in the original Bohr Hamiltonian for γ -independent potentials bridge the U(5) and O(6) symmetries. Using a Variational Procedure, we determine for each value of angular momentum L the value of β 0 at which the derivative of the energy ratio R L = E ( L )/ E (2) with respect to β 0 has a sharp maximum, the collection of R L values at these points forming a band which practically coincides with the ground state band of the E(5) model, corresponding to the critical point in the shape phase transition from U(5) to O(6). The same potentials, when used in the Bohr Hamiltonian after separating variables as in the X(5) model, bridge the U(5) and SU(3) symmetries, the same Variational Procedure leading to a band which practically coincides with the ground state band of the X(5) model, corresponding to the critical point of the U(5) to SU(3) shape phase transition. A new derivation of the Holmberg–Lipas formula for nuclear energy spectra is obtained as a by-product.
Peter Gross - One of the best experts on this subject based on the ideXlab platform.
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initial state laser control of curve crossing reactions using the rayleigh ritz Variational Procedure
Journal of Chemical Physics, 1996Co-Authors: Peter Gross, Ashish K Gupta, Deepa B Bairagi, Manoj K MishraAbstract:A new two‐step Procedure for laser control of photodissociation is presented. In the first step of the Procedure, we show that control of photodissociation product yields can be exerted through preparation of the initial wave function prior to application of the photodissociation field in contrast to previous laser control studies where attention has focused on the design of the field which induces dissociation. Specifically, for a chosen channel from which maximum product yield is desired and a given photodissociation field, the optimal linear combination of vibrational eigenstates which comprise the initial wave function is found using a straightforward Variational calculation. Any photodissociation pulse shape and amplitude can be assumed since the Schrodinger equation is solved directly. Application of this method to control of product yields in the photodissociation of hydrogen iodide is demonstrated. The second step of the control Procedure involves the preparation of the coherent superposition of d...
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Initial state laser control of curve‐crossing reactions using the Rayleigh–Ritz Variational Procedure
Journal of Chemical Physics, 1996Co-Authors: Peter Gross, Ashish K Gupta, Deepa B Bairagi, Manoj K MishraAbstract:A new two‐step Procedure for laser control of photodissociation is presented. In the first step of the Procedure, we show that control of photodissociation product yields can be exerted through preparation of the initial wave function prior to application of the photodissociation field in contrast to previous laser control studies where attention has focused on the design of the field which induces dissociation. Specifically, for a chosen channel from which maximum product yield is desired and a given photodissociation field, the optimal linear combination of vibrational eigenstates which comprise the initial wave function is found using a straightforward Variational calculation. Any photodissociation pulse shape and amplitude can be assumed since the Schrodinger equation is solved directly. Application of this method to control of product yields in the photodissociation of hydrogen iodide is demonstrated. The second step of the control Procedure involves the preparation of the coherent superposition of d...
R Khordad - One of the best experts on this subject based on the ideXlab platform.
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electronic properties of two interacting electrons in a quantum pseudodot under magnetic field perturbation theory and two parameters Variational Procedure
Superlattices and Microstructures, 2013Co-Authors: R KhordadAbstract:Abstract In this paper, we have studied the ground state energy and wave function of a system of two interacting electrons in a two-dimensional (2D) quantum pseudodot under the influence of an external magnetic field. For this purpose, we have employed two different methods. First, we have used the perturbation theory and obtained analytic ground state energy of the system. Second, we have applied the Variational Procedure and considered a trial wave function with one and two Variational parameters. We have found that against to a 2D quantum dot with parabolic potential, the results obtained from that first-order perturbation method is lower than the results with Variational method.
