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Klein Paradox for the Klein-Gordon Equation
American Journal of Physics, 1959The behavior of a beam of spin-zero particles incident on a region of large potential increase is examined. The results are compared with those obtained from similar computations employing the Dirac equation. This comparison yields an instructive illustration of the difference between particles and antiparticles in spin zero and spin one-half single ...
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Separation of variables in the Klein-gordon equations. III
Soviet Physics Journal, 1973Two kinds of external nonstationary electromagnetic fields are found containing arbitrary functions which admit of total separation of variables in the Klein-Gordon equations by using two differential symmetry operators and one second order operator.
V. G. Bagrov +3 more
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Nondispersive solutions of the Klein–Gordon equation
Journal of Mathematical Physics, 1992The nondispersive solutions of the Klein–Gordon equation, that is, solutions depending on an arbitrary function F(u), where u is itself a solution of the characteristic equation of the homogeneous three-dimensional scalar wave equation (∇u)2−(c−1∂tu)2=0, are discussed.
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Klein-Gordon equation on a Lagrange mesh
Physical Review EThe Lagrange-mesh method is an approximate variational method which provides accurate solutions of the Schrödinger equation for bound-state and scattering few-body problems. The stationary Klein-Gordon equation depends quadratically on the energy. For a central potential, it is solved on a Lagrange-Laguerre mesh by iteration.
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Nonlinear Analysis: Theory, Methods & Applications, 2009
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