~omplex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that itâ€™ includes the standard complex definition and does not reduce analytic functions to aâ€¦ (More)

Complex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it includes the standard complex definition and does not reduce analytic functions to aâ€¦ (More)

While in general there is no one-to-one correspondence between complex and quaternion quantum mechanics (QQM), there exists at least one version of QQM in which a partial set of translations may beâ€¦ (More)

The stationary phase method is applied to diffusion by a potential barrier for an incoming wave packet with energies greater then the barrier height. It is observed that a direct application leads toâ€¦ (More)

Standard formulas for mass oscillations are based upon the approximation, t â‰ˆ L, and the hypotheses that neutrinos have been produced with a definite momentum, p, or, alternatively, with definiteâ€¦ (More)

We show that, in quaternion quantum mechanics with a complex geometry, the minimal four Higgs of the unbroken electroweak theory naturally determine the quaternion invariance group which correspondsâ€¦ (More)

The representation theory of the group U (1, q) is discussed in detail because of its possible application in a quaternion version of the Salam-Weinberg theory. As a consequence, from purely groupâ€¦ (More)

It is well known that Yukawa potentials permit bound states in the SchrÃ¶dinger equation only if the ratio of exchanged mass to bound mass is below a critical multiple of the coupling constant.â€¦ (More)

Abstract. We extend an above barrier analysis made with the SchrÃ¶dinger equation to the Dirac equation. We demonstrate the perfect agreement between the barrier results and back to back steps. Thisâ€¦ (More)

We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrier potential weâ€¦ (More)