In this Letter a first-order Lagrangian for the Schroedinger–Newton equations is derived by modifying a second-order Lagrangian proposed by Christian [Exactly soluble sector of quantum gravity, Phys. Rev. D 56(8) (1997) 4844–4877]. Then Noether’s theorem is applied to the Lie point symmetries determined by Robertshaw and Tod [Lie point symmetries and an approximate solution for the Schroedinger–Newton equations, Nonlinearity 19(7) (2006) 1507–1514] in order to find conservation laws of the Schroedinger–Newton equations.
G. GUBBIOTTI, M. C. NUCCI (2012). Conservation laws for the Schrödinger-Newton equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 19(3), 1220002-1-1220002-8 [10.1142/S1402925112200021].
Conservation laws for the Schrödinger-Newton equations
M. C. NUCCI
2012
Abstract
In this Letter a first-order Lagrangian for the Schroedinger–Newton equations is derived by modifying a second-order Lagrangian proposed by Christian [Exactly soluble sector of quantum gravity, Phys. Rev. D 56(8) (1997) 4844–4877]. Then Noether’s theorem is applied to the Lie point symmetries determined by Robertshaw and Tod [Lie point symmetries and an approximate solution for the Schroedinger–Newton equations, Nonlinearity 19(7) (2006) 1507–1514] in order to find conservation laws of the Schroedinger–Newton equations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
