2005•arXiv (Cornell University)Open access

Chandrasekhar separation ansatz and the generalized total angular\n momentum for the Dirac equation in the Kerr-Newman metric

Davide Batic, Harald Schmid

Open full text 1 citations

Abstract

In this paper we compute the square root of the generalized squared total\nangular momentum operator $J$ for a Dirac particle in the Kerr-Newman metric.\nThe separation constant $\\lambda$ arising from the Chandrasekahr separation\nansatz turns out to be the eigenvalue of $J$. After proving that $J$ is a\nsymmetry operator, we show the completeness of Chandrasekhar Ansatz for the\nDirac equation in oblate spheroidal coordinates and derive an explicit formula\nfor the propagator $e^{-itH}$.\n

Open-access reader

About this research paper

What this paper is about

In this paper we compute the square root of the generalized squared total\nangular momentum operator $J$ for a Dirac particle in the Kerr-Newman metric.\nThe separation constant $\\lambda$ arising from the Chandrasekahr separation\nansatz turns out to be the eigenvalue of $J$. After proving that $J$ is a\nsymmetry operator, we show the completeness of Chandrasekhar Ansatz for the\nDirac equation in oblate spheroidal coordinates and derive an explicit formula\nfor the propagator $e^{-itH}$.\n

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper we compute the square root of the generalized squared total\nangular momentum operator $J$ for a Dirac particle in the Kerr-Newman metric.\nThe separation constant $\\lambda$ arising from the Chandrasekahr separation\nansatz turns out to be the eigenvalue of $J$. After proving that $J$ is a\nsymmetry operator, we show the completeness of Chandrasekhar Ansatz for the\nDirac equation in oblate spheroidal coordinates and derive an explicit formula\nfor the propagator $e^{-itH}$.\n

Key concepts: Ansatz, Mathematical physics, Kerr metric, Dirac equation, Physics, Propagator, Angular momentum, Chandrasekhar limit

Related papers

Back to paper searchBrowse research topicsOriginal source
Chandrasekhar separation ansatz and the generalized total angular\n momentum for the Dirac equation in the Kerr-Newman metric — Research Paper | ScholarLens