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The Morse potential with angular momentum

Journal of Chemical Physics, 2002
Following the attempts by previous authors to construct an effective Morse potential to treat the problem of the Morse potential plus an r−2 term, it is shown that the hypervirial perturbation method, which gives exact results for the Morse potential, also gives results for the perturbed problem which are much more accurate than those of previous ...
John P Killingbeck, Georges Jolicard
exaly   +2 more sources

On the generalized Morse potential

Journal of Physics A: Mathematical and General, 1999
Summary: The equivalence between the generalized Morse (GMP) and Eckart potentials is shown. The study of the hypergeometric Natanzon potentials using \(\text{SO}(2, 1)\) techniques is applied to compute the eigenfunctions and eigenvalues of the Eckart (GMP) potential.
Codriansky, Simón   +2 more
openaire   +1 more source

Outlines of Morse potential

International Journal of Mathematical Education in Science and Technology, 1988
The central potential known as the Morse potential has been discussed for the molecular system. It has been found that on including the rotational quantum number the natural frequency is modified and the total energy of the nuclear system appears to be the sum of the zeroth order energy, vibronic energy and the rotational energy.
C.P. Painuli, B.D. Indu
openaire   +1 more source

Modified Morse Potential for Diatomic Molecules

Journal of Molecular Spectroscopy, 1998
We present a diatomic potential which closely resembles the standard Morse function but incorporates additional flexibility for fitting experimental vibrational energy-gap data. This flexibility is accommodated by introducing a continuously variable radially dependent change in the exponent of the Morse function, which in practice is adequately ...
, Lee, , Kalotas, , Adams
openaire   +2 more sources

Morse theory and the Skyrmion-Skyrmion potential

Physical Review D, 1991
We apply the Ljusternik-{hacek S}nirelman theory, a derivative of Morse theory, to the Skyrmion-Skyrmion potential in the two-flavor Skyrme model to look for the existence of new, static, classical solutions in the sector with baryon number two. Concomitantly, we present a systematic method for obtaining an expansion of this potential, in inverse ...
, Isler, , LeTourneux, , Paranjape
openaire   +2 more sources

Ladder operators for the Morse potential

International Journal of Quantum Chemistry, 2001
AbstractA realization of the raising and lowering operators for the Morse potential is presented. It is shown that these operators satisfy the commutation relations for the SU(2) group. Closed analytical expressions are obtained for the matrix elements of different operators such as 1/y and d/dy.
Shi‐Hai Dong, R. Lemus, A. Frank
openaire   +1 more source

Virial Coefficients of Morse Potential

Ukrainian Journal of Physics, 2016
Using the numerical quadrature integration method and a modification of the Mayer sampling Monte Carlo technique proposed recently, the virial coefficients of the known three-parameter Morse potential have been calculated to the seventh order inclusive for potential parameter, aD, values of 3.0, 4.0, 6.0, 8.0, and 10.0.
Ushcats, M. V.   +2 more
openaire   +2 more sources

Deformed oscillator for the Morse potential

Chemical Physics Letters, 1993
Abstract Using quantum algebraic techniques we construct a generalized deformed oscillator giving the same spectrum as the Morse potential exactly. The generalized deformed bosons used for this purpose behave, up to first order approximation, as the Q -bosons already considered in the literature.
Dennis Bonatsos, C. Daskaloyannis
openaire   +1 more source

On the Direction of Decoherence in the Morse Potential

Acta Physica Hungarica B) Quantum Electronics, 2004
Many transformations which can be achieved without error on classical bit cannot be perfectly implemented on qubit, the quantum analogue of a bit, i.e. the fidelities of these processes have an upper bound. The machines that reach these bounds are called optimal. Here we report an experimental realization of two of these devices: the universal-NOT gate
F. De Martini, C. Sias, F. Sciarrino
openaire   +2 more sources

Morse Potential Parameters for Helium

The Physics of Fluids, 1963
The three parameters of the Morse potential for helium are determined from data on the viscosity and second virial coefficient as functions of temperature. Computed values of the viscosity, second virial coefficient, thermal conductivity, and the reduced thermal diffusion factor are compared with experimental values.
O. P. Bahethi, S. C. Saxena
openaire   +1 more source

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