Quaternionic wave packets
نویسندگان
چکیده
منابع مشابه
Self-Interfering Wave Packets.
We study the propagation of noninteracting polariton wave packets. We show how two qualitatively different concepts of mass that arise from the peculiar polariton dispersion lead to a new type of particlelike object from noninteracting fields-much like self-accelerating beams-shaped by the Rabi coupling out of Gaussian initial states. A divergence and change of sign of the diffusive mass result...
متن کاملRelativistic Quaternionic Wave Equation II
Further results are reported for the one-component quaternionic wave equation recently introduced. A Lagrangian is found for the momentum-space version of the free equation; and another, nonlocal in time, is found for the complete equation. Further study of multiparticle systems has us looking into the mathematics of tensor products of Hilbert spaces. The principles of linearity and superpositi...
متن کاملA Relativistic Quaternionic Wave Equation
We study a one-component quaternionic wave equation which is relativistically covariant. Bi-linear forms include a conserved 4-current and an antisymmetric second rank tensor. Waves propagate within the light-cone and there is a conserved quantity which looks like helicity. The principle of superposition is retained in a slightly altered manner. External potentials can be introduced in a way th...
متن کاملAutoionizing Rydberg wave packets.
In this paper we present some of the general features of autoionizing Rydberg wave packets. We assume the wave packets are generated by a short, perturbative laser pulse that excites the electronic wave function to a coherent distribution of final state energies in the autoionizing regime. We describe a possible experiment for generating and detecting these autoionizing wave packets. A physical...
متن کاملLévy–Schrödinger wave packets
We analyze the time–dependent solutions of the pseudo–differential Lévy–Schrödinger wave equation in the free (force-less) case, and we compare them with the associated Lévy processes. We first list the principal laws used to describe the time evolutions of both Lévy process densities and Lévy–Schrödinger wave packets. To have self–adjoint generators and unitary evolutions we will consider only...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2738362