Results 21 to 30 of about 2,784 (203)
Relativistic treatment of the Hellmann-generalized morse potential
We present the relativistic treatment of the Hellmann-generalized Morse potential using Nikiforov-Uvarov(NU) method. The relativistic equations(Klein-Gordon and Dirac equation) were solved using the conventional NU method. In order to overcome the centrifugal barrier, we employed the well-known Greene and Aldrich approximation scheme.
P. O. Okoi, C.O. Edet, T. O. Magu
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We consider a class of generalized quasilinear Schrödinger equations − div ( l 2 ( u ) ∇ u ) + l ( u ) l ′ ( u ) | ∇ u | 2 + V ( x ) u = f ( u ) , x ∈ R N , $$ -\operatorname{div}\bigl(l^{2}(u)\nabla u\bigr)+l(u)l'(u) \vert \nabla u \vert ^{2}+V(x)u= f(u)
Chen Huang
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Fisher Information and Complexity Measure of Generalized Morse Potential Model [PDF]
The spreading of the quantum-mechanical probability distribution density of the three-dimensional system is quantitatively determined by means of the local information-theoretic quantity of the Shannon information and information energy in both position and momentum spaces. The complexity measure which is equivalent to Cramer–Rao uncertainty product is
Idiodi, J.O.A, Onate, C.A
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On mini-superspace limit of boundary three-point function in Liouville field theory
We study the mini-superspace semiclassical limit of the boundary three-point function in the Liouville field theory. We compute also matrix elements for the Morse potential quantum mechanics. An exact agreement between the former and the latter is found.
Elena Apresyan, Gor Sarkissian
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Superintegrable dynamics on $H^2$ generated by coupling the Morse and Rosen-Morse potentials
A Hamiltonian dynamics defined on the two-dimensional hyperbolic plane by coupling the Morse and Rosen-Morse potentials is analyzed. It is demonstrated that orbits of all bounded motions are closed iff the product of the parameter $\tilde a$ of the Morse potential and the square root of the absolute value of the curvature is a rational number.
Acosta, John, Gonera, Cezary
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Bound State Solutions of Schrödinger Equation for Generalized Morse Potential with Position-Dependent Mass [PDF]
The effective mass one-dimensional Schrödinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. The results are also reduced to the case of constant mass. Energy eigenvalues are computed numerically for some diatomic molecules.
Arda, Altug, Sever, Ramazan
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The second-order N-dimensional Schrödinger equation with pseudoharmonic potential is reduced to a first-order differential equation by using the Laplace transform approach and exact bound state solutions are obtained using convolution theorem.
Tapas Das, Altuğ Arda
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Relativistic spin symmetry of the generalized Morse potential including tensor interaction [PDF]
The relativistic Dirac equation under spin symmetry is investigated for generalized Morse potential. We calculated the eigenvalues and the corresponding wave function by using the Nikiforov-Uvarov method. We also discussed two special cases: attractive radial and Deng-Fan potentials.
Ikot, Akpan N +3 more
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Generalized two-field α-attractor models from geometrically finite hyperbolic surfaces
We consider four-dimensional gravity coupled to a non-linear sigma model whose scalar manifold is a non-compact geometrically finite surface Σ endowed with a Riemannian metric of constant negative curvature.
C.I. Lazaroiu, C.S. Shahbazi
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Robust Stitching Interface and Deep Learning Empowered Hydrogel Human‐Machine Interface
A molecular design strategy is presented that exploits synergistic carboxylate anion–quaternary ammonium interactions to simultaneously strengthen the hydrogel–PET interface and the bulk hydrogel network. Integrated with deep learning signal processing, the stable hydrogel–PET interface enables consistent signal acquisition and reliable human‐machine ...
Hao Dong +11 more
wiley +1 more source

