2 The 1 + 1 Dirac Equation in Light Cone Coordi - nates
نویسندگان
چکیده
We rewrite the 1+1 Dirac equation in light cone coordinates in two significant forms, and solve them exactly using the classical calculus of finite differences. The complex form yields “Feynman’s Checkerboard”—a weighted sum over lattice paths. The rational, real form can also be interpreted in terms of bit-strings. Submitted to Physics Letters A. PACS: 03.65.Pm, 02.70.Bf
منابع مشابه
Supersymmetry and Euler Multiplets
Some massless supermultiplets appear as the trivial solution of Kostant’s equation, a Dirac-like equation over special cosets. We study two examples; one over the coset SU(3)/SU(2) × U(1) contains the N = 2 hypermultiplet in (3 + 1) dimensions with U(1) as helicity; the other over the coset F4/SO(9) describes the N = 1 supermultiplet in eleven dimensions, where SO(9) is the light-cone little gr...
متن کاملOn the Dirac Equation in a Gravitation Field and the Secondary Quantization
The Dirac equation for massive free electrically neutral spin 1/2 particles in a gravitation field is considered. The secondary quantization procedure is applied to it and the Hilbert space of multiparticle quantum states is constructed. 1. The Dirac equation and its current. Let M be a space-time manifold. It is a four-dimensional orientable manifold equipped with a pseudo-EuclideanMinkowski-t...
متن کاملar X iv : h ep - t h / 03 04 26 5 v 1 3 0 A pr 2 00 3 Dirac ’ s Footsteps and Supersymmetry
I am not interested in proofs. I am only interested on how Nature works P.A.M. Dirac One hundred years after its creator's birth, the Dirac equation stands as the cornerstone of XXth Century physics. But it is much more, as it carries the seeds of supersymmetry. Dirac also invented the light-cone, or " front form " dynamics, which plays a crucial role in string theory and in elucidating the fin...
متن کاملar X iv : h ep - t h / 96 03 20 2 v 1 29 M ar 1 99 6 SLAC – PUB – 7115 March 1996 DISCRETE PHYSICS AND THE DIRAC EQUATION ∗
We rewrite the 1+1 Dirac equation in light cone coordinates in two significant forms, and solve them exactly using the classical calculus of finite differences. The complex form yields “Feynman’s Checkerboard”—a weighted sum over lattice paths. The rational, real form can also be interpreted in terms of bit-strings. Submitted to Physics Letters A. PACS: 03.65.Pm, 02.70.Bf
متن کامل0 a Linear - Confined Particle and the Dirac Equation
The model of a classical particle with the weak linear AAD potential is subjected to path integral quantization. The light cone constraints and peculiar properties of its internal variables permit to use in calculations commutative dynamics and apply path integrals for a matrix form of the transition amplitude. Quantization leads to description of a Dirac particle. Motivated by the Wheeler-Feyn...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996