scholarly journals LINEAR TIME-DEPENDENT INVARIANTS FOR SCALAR FIELDS AND NOETHER’S THEOREM

1994 ◽  
Vol 09 (19) ◽  
pp. 1785-1790 ◽  
Author(s):  
O. CASTAÑOS ◽  
R. LÓPEZ-PEÑA ◽  
V.I. MAN’KO
Keyword(s):  
Scalar Field ◽  
Infinite Number ◽  
Linear Time ◽  
Scalar Fields ◽  
Time Dependent ◽  
Noether’S Theorem ◽  
Noether's Theorem

The infinite number of time-dependent linear in field and conjugated momenta invariants is derived for the scalar field using the Noether’s theorem procedure.

scholarly journals Noether's theorem and time-dependent quantum invariants

1994 ◽  
Vol 27 (5) ◽  
pp. 1751-1770 ◽  
Author(s):  
O Castanos ◽  
R Lopez-Pena ◽  
V I Man'ko
Keyword(s):  
Time Dependent ◽  
Noether’S Theorem ◽  
Quantum Invariants ◽  
Noether's Theorem

On Noether's theorem for the invariant of the time-dependent harmonic oscillator

2009 ◽  
Vol 30 (6) ◽  
pp. 1337-1343 ◽  
Author(s):  
Sumiyoshi Abe ◽  
Yuichi Itto ◽  
Mamoru Matsunaga
Keyword(s):  
Harmonic Oscillator ◽  
Time Dependent ◽  
Noether’S Theorem ◽  
Noether's Theorem

Asymptotically Static Universe Dominated by Phantom Energy

2015 ◽  
Vol 70 (2) ◽  
pp. 101-108 ◽  
Author(s):  
Rami Ahmad El-Nabulsi
Keyword(s):  
Scalar Field ◽  
Cosmological Constant ◽  
Time Derivative ◽  
State Parameter ◽  
Scalar Fields ◽  
Phantom Energy ◽  
Time Dependent ◽  
Static Universe ◽  
Free Parameters ◽  
The Universe

AbstractIn this article, we investigated a generalised scalar field cosmology characterised by a time-dependent coupling function, a time-dependent cosmological constant, a chameleonic field, and a time-dependent equation of state parameter. Based on a particular choice of the Hubble parameter as function of the scalar field and its time derivative, we have investigated the dynamics of the Friedmann–Robertson–Walker flat universe. We have observed that for a particular choice of the free parameters in the theory, the universe accelerates with time and asymptotically tends toward a static universe. For specific values of the free parameters, the asymptotically static universe may be dominated by phantom energy or a cosmological constant without the need to implement in the theory multiple scalar fields or additional interactions. It is also pointed out that an asymptotically static universe is as well one special class of solutions for Horndeski and generalised galileons cosmologies. Special properties and features are discussed accordingly.

Noether's theorem in time-dependent lagrangian mechanics

1992 ◽  
Vol 31 (2) ◽  
pp. 189-203 ◽  
Author(s):  
JoséF. Cariñena ◽  
Eduardo Martínez ◽  
José Fernández-Núẽz
Keyword(s):  
Time Dependent ◽  
Lagrangian Mechanics ◽  
Noether’S Theorem ◽  
Noether's Theorem
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