Linear Time-Dependent Invariants for Scalar Fields and Noether's Theorem
O. Casta\~nos, R. L\'opez-Pe\~na, V.I. Man'ko
TL;DR
This paper derives an infinite set of time-dependent invariants for scalar fields using Noether's theorem, highlighting new conserved quantities related to the field's symmetries.
Contribution
It introduces a novel method to obtain an infinite number of time-dependent invariants for scalar fields via Noether's theorem.
Findings
Derivation of infinite time-dependent invariants for scalar fields
Application of Noether's theorem to time-dependent symmetries
Identification of conserved quantities in scalar field dynamics
Abstract
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.
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