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Morse Potential in the Momentum Representation
Communications in Theoretical Physics, 2012The momentum representation of the Morse potential is presented analytically by hypergeometric function. The properties with respect to the momentum p and potential parameter β are studied. Note that |Ψ(p)| is a nodeless function and the mutual orthogonality of functions is ensured by the phase functions arg[Ψ(p)].
Guo-Hua Sun, Shi-Hai Dong
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T-matrix for the morse potential
Soviet Physics Journal, 1975The s-wave part of the T-matrix on the mass shell was obtained from the well-known solution of the s-wave Schrodinger equation for the Morse potential. The result is expressed in terms of the confluent hypergeometric function.
S. S. Tokar, Yu. K. Tomashuk
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Classical Sutherland systems in the Morse potential
Physica Scripta, 1989It is shown that the classical problem of motion of an arbitrary number of particles along a straight line with binary itneraction (shx)−2 placed under the action of the Morse potential can be solved by using the Lax representation. Exact solution of the equations of motion is reduced to calculation of the matrix exponentials.
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Classical Motion under a Morse Potential
Nature, 1957STUDENTS of diatomic molecules and of related systems have long used the Morse potential function1 where x is the stretch of the interatomic bond (with V=0 at the equilibrium configuration x=0), D is the dissociation energy, and a a constant parameter. For energies less than D and
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Potential Parameters for Xenon on Morse Potential Model
Journal of the Physical Society of Japan, 1975Two sets of the potential parameters for Xenon on Morse potential model (exp:exp) are evaluated by means of temperature dependence of thermal diffusion and temperature dependence of viscosity. In order to test the suitability of the parameters, experimental thermal conductivity data are reproduced for different temperatures in the range 300 K–500 K.
Upendra Singh, M. N. Sharma
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Dynamical potential algebras for Gendenshtein and Morse potentials
Journal of Physics A: Mathematical and General, 1991The authors show that a realization of the Lie algebra \(\mathfrak{so}(2,1)\) by first order differential operators in two variables can be used to define irreducible representations of \(\mathfrak{so}(2,1)\) with basis states that are eigenfunctions of different Hamiltonians associated with Morse and related potentials but belonging to the same energy
Englefield, M.J. M.J. +1 more
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An algorithm for the estimation of anharmonicity from a Morse potential
Computers & Chemistry, 1983Abstract The wavefunctions of the ground and first excited state in a Morse potential are calculated and plotted, and the expectation values of the bond ...
R. L. Odeurs +2 more
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AN ALGEBRAIC APPROACH TO THE q-DEFORMED MORSE POTENTIAL
Modern Physics Letters A, 2009We have obtained the creation and annihilation operators directly from the eigenfunction for the general deformed morse potential in one-dimensional Klein–Gordon equation with equally mixed vector and scalar potentials and also in the Schrödinger equation, we show that these operators satisfy the commutation relation of the SU(1, 1) group. Then we have
Setare, M. R., Hatami, O.
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Barut–Girardello coherent states for the Morse potential
Physics Letters A, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fakhri, H., Chenaghlou, A.
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Group theory of the Morse potential
1980We map the problem of a Morse potential in one dimension into a two-dimensional harmonic oscillator. The symmetry group for this problem is U(2). Starting from the dynamical group Sp(4), we use two different chains of groups including SU(1,1) and U(2) respectively.
Manuel Berrondo, Alejandro Palma
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