scholarly journals Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator

2013 ◽  
Vol 33 (7) ◽  
pp. 2711-2755 ◽  
Author(s):  
Andrew Comech ◽  
Keyword(s):  
Nonlinear Oscillator ◽  
Space Time ◽  
Discrete Space ◽  
Klein Gordon ◽  
Weak Attractor

scholarly journals CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM

2018 ◽  
Vol 6 ◽  
Author(s):  
TIMOTHY CANDY ◽  
SEBASTIAN HERR
Keyword(s):  
Initial Data ◽  
Space Time ◽  
Bounded Solutions ◽  
Large Initial Data ◽  
Critical Spaces ◽  
Crucial Step ◽  
Global Behaviour ◽  
Large Solutions ◽  
Klein Gordon

We consider the global behaviour for large solutions of the Dirac–Klein–Gordon system in critical spaces in dimension $1+3$. In particular, we show that bounded solutions exist globally in time and scatter, provided that a controlling space–time Lebesgue norm is finite. A crucial step is to prove nonlinear estimates that exploit the dichotomy between transversality and null structure, and furthermore involve the controlling norm.

GALILEAN AND DISCRETE SPACE-TIME SYMMETRIES OF ROY-SINGH DETERMINISTIC QUANTUM MECHANICS

1995 ◽  
Vol 10 (32) ◽  
pp. 4641-4650
Author(s):  
ARVIND KUMAR
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Time Reversal ◽  
Space Time ◽  
Discrete Space ◽  
Galilean Space

The recent deterministic quantum theory of Roy and Singh is shown to be covariant with respect to Galilean, space reflection and time reversal transformations.

scholarly journals Klein Gordon Field in FLRW Space-Time

2020 ◽  
Vol 13 (13) ◽  
pp. 1-4
Author(s):  
S.K. Sharma ◽  
P.R. Dhungel ◽  
U. Khanal
Keyword(s):  
Spherical Harmonics ◽  
Energy Momentum Tensor ◽  
Equation Of Motion ◽  
Momentum Tensor ◽  
Space Time ◽  
Wkb Approximation ◽  
Temporal Parts ◽  
Klein Gordon ◽  
Current Energy ◽  
Particle Current

As a continuation of solving the equations governing the perturbation of the Friedmann-Lemaitre-Robertson- Walker (FLRW) space-time in Newman-Penrose formalism, the behaviour of the massive Klein-Gordon (KG) field coupled to the FLRW has been investigated. The Equation of Motion has been written and solved separately for radial and temporal parts. The former solution has come to be in terms of the Gegenbauer polynomials and spherical harmonics and the latter being in the WKB approximation. The particle current, energy momentum tensor and potential have also been obtained.

Transition from a continuous to a discrete space-time scheme

1970 ◽  
Vol 66 (4) ◽  
pp. 645-656 ◽  
Author(s):  
E. A. B. Cole
Keyword(s):  
Space Time ◽  
Discrete Space
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