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Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials

We present a symbolic algorithm generating finite-element schemes with interpolating Hermite polynomials intended for solving the boundary-value problems with self-adjoint second-order differential…
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Cosmological production of vector bosons and cosmic microwave background radiation

An intensive cosmological production of vector W and Z bosons is considered within a cosmological model that involves a relative scale of measurement. Field-theory models are studied in which cosmic…
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KANTBP 3.0: New version of a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel adiabatic approach

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Symbolic-Numeric Algorithm for Solving the Problem of Quantum Tunneling of a Diatomic Molecule through Repulsive Barriers

A symbolic algorithm implemented in CAS Maple to calculate the required asymptotic behavior of adiabatic basis, the potential matrix elements, and the fundamental solutions of the SCSODEs is elaborated and comparative analysis of the potential Matrix elements calculated in the Cartesian and polar coordinates is presented.
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Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters through Repulsive Barriers

It is shown that the resonance behavior of the total transmission coefficient is due to the existence of barrier quasistationary states imbedded in the continuum.
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ASYMPT: a program for calculating asymptotics of hyperspherical potential curves and adiabatic potentials

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Model for spin waves and lasing in monolayer graphene films

Basing on Dirac equation for interacting massless fermions, we propose a nonlinear model that describes a possible mechanism of ferromagnetism in graphene structures, resulting from electron-electron…
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Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Identical Particles with Pair Oscillator Interactions

The quantum model of a cluster, consisting of A identical particles, coupled by the internal pair interactions and affected by the external field of a target, is considered and a symbolic-numerical algorithm for generating symmetrized oscillator eigenfunctions is formulated and implemented using the MAPLE computer algebra system.
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μ-capture and ortho-para transitions in the muonic molecule ppμ

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ADIABATIC REPRESENTATION IN THE THREE-BODY PROBLEM WITH THE COULOMB INTERACTION. I. THE CHOICE OF THE EFFECTIVE HAMILTONIAN

A correct dissociation limit for the exchange reaction (a,c)+b to a+(b,c) has been obtained in the adiabatic representation of the three-body problem (a,b,c). As an example, the energy level…
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