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Search Results: 1 - 10 of 200630 matches for " P. Rotelli "
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The cosmological dependence of weak interactions
M. Novello,P Rotelli
Physics , 2002,
Abstract: A model for the cosmological time dependence of weak interactions is discused and some experimental tests suggested.
Representations of U(1,q) and Constructive Quaternion Tensor Products
S. De Leo,P. Rotelli
Physics , 1993, DOI: 10.1007/BF02741288
Abstract: 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 group theoretical arguments we demonstrate that the eigenvalues must be right-eigenvalues and that the only consistent scalar products are the complex ones. We also define an explicit quaternion tensor product which leads to a set of additional group representations for integer ``spin''.
Translations between Quaternion and Complex Quantum Mechanics
S. De Leo,P. Rotelli
Physics , 1994, DOI: 10.1143/PTP.92.917
Abstract: 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 {\em partial} set of {\em translations} may be made. We define these translations and use the rules to obtain rapid quaternion counterparts (some of which are new) of standard quantum mechanical results.
Timelapse
S. De Leo,P. Rotelli
Physics , 2001, DOI: 10.1134/1.1507228
Abstract: We discuss the existence in an arbitrary frame of a finite time for the transformation of an initial quantum state into another e.g. in a decay. This leads to the introduction of a timelapse $\tilde{\tau}$ in analogy with the lifetime of a particle. An argument based upon the Heisenberg uncertainty principle suggests the value of $\tilde{\tau}=1 / M_0$. Consequences for the exponential decay formula and the modifications that $\tilde{\tau}$ introduces into the Breit-Wigner mass formula are described.
Survival law in a potential model
S. De Leo,P. Rotelli
Physics , 2004, DOI: 10.1103/PhysRevA.70.022101
Abstract: The radial equation of a simple potential model has long been known to yield an exponential decay law in lowest order (Breit-Wigner) approximation. We demonstrate that if the calculation is extended to fourth order the decay law exhibits the quantum Zeno effect. This model has further been studied numerically to characterize the extra exponential time parameter which compliments the lifetime. We also investigate the inverse Zeno effect.
Above potential barrier diffusion
A. E. Bernardini,S. De Leo,P. Rotelli
Physics , 2004,
Abstract: 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 to paradoxical results. The correct solution, confirmed by numerical calculations is the creation of multiple peaks as a consequence of multiple reflections. Lessons concerning the use of the stationary phase method are drawn.
The Quaternionic Dirac Lagrangian
Stefano De Leo,Pietro Rotelli
Physics , 1995, DOI: 10.1142/S0217732396000400
Abstract: We discuss the use of the variational principle within quaternionic quantum mechanics. This is non-trivial because of the non commutative nature of quaternions. We derive the Dirac Lagrangian density corresponding to the two-component Dirac equation. This Lagrangian is complex projected as anticipated in previous articles and this feature is necessary even for a classical real Lagrangian.
Localized Beams and Dielectric Barriers
Stefano De Leo,Pietro Rotelli
Physics , 2009,
Abstract: Recalling the similarities between the Maxwell equations for a transverse electric wave in a stratified medium and the quantum mechanical Schroedinger equation in a piece-wise potential, we investigate the analog of the so called particle limit in quantum mechanics. It is shown that in this limit the resonance phenomena are lost since individual reflection and transmission terms no longer overlap. The result is a stationary zebra-like response with the intensity in each stripe calculable.
Quaternion Higgs and the Electroweak Gauge Group
Stefano De Leo,Pietro Rotelli
Physics , 1995, DOI: 10.1142/S0217751X95002011
Abstract: 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 corresponds to the Glashow group. Consequently, we are able to identify the physical significance of the anomalous Higgs scalar solutions. We introduce and discuss the complex projection of the Lagrangian density.
Odd Dimensional Translation between Complex and Quaternionic Mechanics
Stefano De Leo,Pietro Rotelli
Physics , 1996, DOI: 10.1143/PTP.96.247
Abstract: We complete the rules of translation between standard complex quantum mechanics (CQM) and quaternionic quantum mechanics (QQM) with a complex geometry. In particular we describe how to reduce ($2n$+$1$)-dimensional complex matrices to {\em overlapping\/} ($n$+$1$)-dimensional quaternionic matrices with generalized quaternionic elements. This step resolves an outstanding difficulty with reduction of purely complex matrix groups within quaternionic QM and avoids {\em anomalous} eigenstates. As a result we present a more complete translation from CQM to QQM and viceversa.
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