Covariant hamiltonian spin dynamics in curved space–time

The dynamics of spinning particles in curved space–time is discussed, emphasizing the hamiltonian formulation. Different choices of hamiltonians allow for the description of different gravitating systems. We give full results for the simplest case with minimal hamiltonian, constructing constants of...

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Main Authors:	G. d'Ambrosi, S. Satish Kumar, J.W. van Holten
Format:	Article
Language:	English
Published:	Elsevier 2015-04-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269315001707

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spelling	doaj-c0faef8ce3684a93a4aa84d7467987732020-11-24T22:16:00ZengElsevierPhysics Letters B0370-26932015-04-01743478483Covariant hamiltonian spin dynamics in curved space–timeG. d'Ambrosi0S. Satish Kumar1J.W. van Holten2Nikhef, Science Park 105, Amsterdam, Netherlands; Corresponding author.Lorentz Institute, Leiden University, Niels Bohrweg 2, Leiden, NetherlandsNikhef, Science Park 105, Amsterdam, Netherlands; Lorentz Institute, Leiden University, Niels Bohrweg 2, Leiden, NetherlandsThe dynamics of spinning particles in curved space–time is discussed, emphasizing the hamiltonian formulation. Different choices of hamiltonians allow for the description of different gravitating systems. We give full results for the simplest case with minimal hamiltonian, constructing constants of motion including spin. The analysis is illustrated by the example of motion in Schwarzschild space–time. We also discuss a non-minimal extension of the hamiltonian giving rise to a gravitational equivalent of the Stern–Gerlach force. We show that this extension respects a large class of known constants of motion for the minimal case.http://www.sciencedirect.com/science/article/pii/S0370269315001707
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	G. d'Ambrosi S. Satish Kumar J.W. van Holten
spellingShingle	G. d'Ambrosi S. Satish Kumar J.W. van Holten Covariant hamiltonian spin dynamics in curved space–time Physics Letters B
author_facet	G. d'Ambrosi S. Satish Kumar J.W. van Holten
author_sort	G. d'Ambrosi
title	Covariant hamiltonian spin dynamics in curved space–time
title_short	Covariant hamiltonian spin dynamics in curved space–time
title_full	Covariant hamiltonian spin dynamics in curved space–time
title_fullStr	Covariant hamiltonian spin dynamics in curved space–time
title_full_unstemmed	Covariant hamiltonian spin dynamics in curved space–time
title_sort	covariant hamiltonian spin dynamics in curved space–time
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2015-04-01
description	The dynamics of spinning particles in curved space–time is discussed, emphasizing the hamiltonian formulation. Different choices of hamiltonians allow for the description of different gravitating systems. We give full results for the simplest case with minimal hamiltonian, constructing constants of motion including spin. The analysis is illustrated by the example of motion in Schwarzschild space–time. We also discuss a non-minimal extension of the hamiltonian giving rise to a gravitational equivalent of the Stern–Gerlach force. We show that this extension respects a large class of known constants of motion for the minimal case.
url	http://www.sciencedirect.com/science/article/pii/S0370269315001707
work_keys_str_mv	AT gdambrosi covarianthamiltonianspindynamicsincurvedspacetime AT ssatishkumar covarianthamiltonianspindynamicsincurvedspacetime AT jwvanholten covarianthamiltonianspindynamicsincurvedspacetime
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Covariant hamiltonian spin dynamics in curved space–time

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