2004/09/02 by A. Barducci, R. Giachetti
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Eigenfunction #Eigenvalues and eigenvectors #Field (mathematics) #Geometry #Gravitational field #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Radiative transfer #Scalar (mathematics) #Scalar field #Spin (aerodynamics) #Spinning #Wave function #hep-th
paper · pdf · doi:10.1088/0305-4470/38/7/015
published as J.Phys.A38:1615-1624,2005 · 11 pages
arxiv created 2004/09/02 · openalex publication_date 2005/02/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by skew-commuting variables. We derive the explicit expressions for the eigenfunctions and the Green's functions of the theory. The discussion is exact within the approximation of neglecting radiative corrections and we prove that the result is completely determined by the semi-classical contribution: this is shown by comparing the wavefunctions with the (pseudo)classical solutions of the Hamilton–Jacobi equation.