Recovering four-component solutions by the inverse transformation of the infinite-order two-component wave functions

2009 ◽  
Vol 130 (16) ◽  
pp. 164114 ◽  
Author(s):  
Maria Barysz ◽  
Łukasz Mentel ◽  
Jerzy Leszczyński
Keyword(s):  
Infinite Order ◽  
Wave Functions ◽  
Inverse Transformation ◽  
Two Component ◽  
Component Wave

scholarly journals A local description of dark energy in terms of classical two-component massive spin-one uncharged fields on spacetimes with torsionful affinities

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Jorge G. Cardoso
Keyword(s):  
Dark Energy ◽  
Physical Properties ◽  
Gauge Group ◽  
Wave Equations ◽  
Wave Functions ◽  
Local Description ◽  
Massive Spin ◽  
Two Component ◽  
Curved Spacetimes ◽  
Component Spinor

AbstractIt is assumed that the two-component spinor formalisms for curved spacetimes that are endowed with torsionful affine connexions can supply a local description of dark energy in terms of classical massive spin-one uncharged fields. The relevant wave functions are related to torsional affine potentials which bear invariance under the action of the generalized Weyl gauge group. Such potentials are thus taken to carry an observable character and emerge from contracted spin affinities whose patterns are chosen in a suitable way. New covariant calculational techniques are then developed towards deriving explicitly the wave equations that supposedly control the propagation in spacetime of the dark energy background. What immediately comes out of this derivation is a presumably natural display of interactions between the fields and both spin torsion and curvatures. The physical properties that may arise directly fromthe solutions to thewave equations are not brought out.

Two-Component Wave Equations

1949 ◽  
Vol 75 (10) ◽  
pp. 1609-1609 ◽  
Author(s):  
Herbert Jehle
Keyword(s):  
Wave Equations ◽  
Two Component ◽  
Component Wave

Spacelike Solutions of Infinite-Component Wave Functions

1968 ◽  
Vol 170 (5) ◽  
pp. 1316-1319 ◽  
Author(s):  
Shau-Jin Chang ◽  
L. O'Raifeartaigh
Keyword(s):  
Wave Functions ◽  
Component Wave ◽  
Infinite Component

Remarks on the Two-Component Wave Equations for Massive Leptons

1974 ◽  
Vol 9 (3) ◽  
pp. 161-162 ◽  
Author(s):  
M Havlicek ◽  
P Exner
Keyword(s):  
Wave Equations ◽  
Two Component ◽  
Component Wave

Two-Component Wave Equations

1949 ◽  
Vol 76 (10) ◽  
pp. 1538-1538 ◽  
Author(s):  
J. Serpe
Keyword(s):  
Wave Equations ◽  
Two Component ◽  
Component Wave

A Lorentz Invariant Schrödinger Equation for Spin 0

1989 ◽  
Vol 44 (9) ◽  
pp. 801-810
Author(s):  
E. Trübenbacher
Keyword(s):  
Particle Trajectory ◽  
Relativistic Quantum ◽  
Wave Functions ◽  
Relativistic Quantum Mechanics ◽  
Practical Application ◽  
Vector Potentials ◽  
Component Wave ◽  
Velocity Of Propagation ◽  
Set Up ◽  
A Current

Abstract Using the concept of distributions, the square root of the operator - Δ + m2 is taken in a mathematically well defined way for one component wave functions. A new representation of proper Lorentz transformations for one component wave functions makes it possible to construct a relativistic quantum mechanics for spin 0, comprising a Lorentz invariant wave equation, a scalar product, and a positive definite density satisfying, together with a current, a continuity equation, and coupling of scalar and vector potentials. Some interesting consequences of the theory concerning the concept of particle trajectory and velocity of propagation of the probability amplitude are discussed in detail. As an example of practical application a perturbation theory for discrete states is set up.

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