Results 191 to 200 of about 2,927 (214)

Generalized Pöschl–Teller, Toda, Morse potentials and SL(2,R) group

Journal of Mathematical Physics, 1998
Quantum integrable systems related with SL(2,R) group manifold in various coordinate systems defined by the various decompositions: KHK, HAH, HKH, NHN, NHK of the group SL(2,R) on one parameter subgroups K,H,A,N are considered. The explicit expressions for waves functions, spectra, and S-matrices are given.
Sezgin, M, Verdiyev, AY, Verdiyev, YA
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Generation of new classes of exactly solvable potential from the trigonometric Rosen-Morse potential

Indian Journal of Physics, 2010
Exact analytic solutions of the Schrodinger equation are obtained for classes of newly constructed potentials which are generated from the trigonometric Rosen-Morse potential as the input reference potential via extended transformation method. A set of quantized energy spectra of the bound states and the corresponding wave functions of the generated ...
S. A. S. Ahmed, L. Buragohain
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Generalized coherent states related to the associated Bessel functions and Morse potential

Physica Scripta, 2014
Using the associated Bessel functions, a shape-invariant Lie algebra spanned by ladder operators plus the identity operator, is realized. The Hilbert space of the associated Bessel functions, representing the Lie algebra, are established and two kinds of generalized coherent states as an appropriate superposition of these functions are constructed.
B Mojaveri, S Amiri Faseghandis
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Application of extended-Rydberg parameters in general Morse potential functions

Journal of Mathematical Chemistry, 2011
The 3-parameter Rydberg and the 4-parameter general Morse functions have been adopted for describing bond-stretching in computation of molecular systems and many-body solid state systems. However the Extended-Rydberg function, such as the 5-parameter Murrell-Sorbie potential, has so far been confined to describing bond-stretching in very small ...
openaire   +1 more source

Approximate solutions of the Schrödinger equation with the generalized Morse potential model including the centrifugal term

International Journal of Quantum Chemistry, 2011
AbstractBy using a new improved approximation scheme to deal with the centrifugal term, we solve approximately the Schrödinger equation with the generalized Morse potentials for the arbitrary angular momentum values. The bound state energy spectra and the unnormalized radial wave functions have been approximately obtained by using the basic concept of ...
Lie‐Hui Zhang, Xiao‐Ping Li, Chun‐Sheng Jia   +2 more
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Interaction of excitons with a generalized Morse surface potential:s-polarized incident light at a semiconductor surface

Physical Review B, 1992
Exciton reflection spectra of direct-band-gap semiconductors are investigated theoretically with the aid of an appropriate model for the surface potential. The dynamics of excitonic polaritons subject to a generalized Morse surface potential and the corresponding optical response are solved exactly for the s-polarization geometry.
, Pérez-Rodríguez, , Halevi
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A generalized Morse asymmetric potential and multiplets of its non-numerical exact bound states

Journal of Physics A: Mathematical and General, 1994
Summary: The solvable Morse model with its asymmetric phenomenological potential \(V(r) = A\{1 - \exp [- \mu (r - r_\alpha)]\}^2\) is generalized: via a computer-assisted algebraic construction, we show that for certain three-component phenomenological potentials \(V(r) = A \{1 - \exp [- \mu (r - r_\alpha)]\}^2 + B\{1 - \exp [- \mu (r - r_\beta)]\}^3 +
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Generalized potentials: Free particle, harmonic, and Morse partner potentials

International Journal of Quantum Chemistry, 1999
J. Morales, J. J. Pe�a, G. Ovando, V. Gaftoi   +3 more
openaire   +1 more source

Applications of the Generalized Morse Wavelets: A Review

IEEE Access, 2023
Erick Axel Martinez-Rios, Rogelio Bustamante-Bello, Hector Perez-Meana   +2 more
exaly  

Generalized Morse Wavelets parameter selection and transfer learning for pavement transverse cracking detection

Engineering Applications of Artificial Intelligence, 2023
Erick Axel Martinez-Rios, Rogelio Bustamante-Bello, Sérgio A Navarro-Tuch   +2 more
exaly