International Journal of Theoretical Physics

, Volume 46, Issue 12, pp 3060–3066 | Cite as

Aspects of Solutions of Massive Spin-3/2 Equation in Schwarzschild Space-Time

  • Antonio Zecca


The general massive spin-(3/2) (Rarita–Schwinger) field equation in Schwarzschild geometry, previously separated by variable separation, is further studied. The orthogonality of the solutions of the angular equations is exploited. The study of the radial equations, that are proposed in the most detailed form, is reduced to the study of four coupled differential equations. The equations are discussed and integrated near the Schwarzschild radius and for zero and large values of the radial coordinate. A covariant product of states is considered that is induced by a conserved current. It is shown the existence of states that are bound in the scalar product without implying the existence of a discrete energy spectrum.


Schwarzschild geometry Massive spin 3/2 equations Solution Product of states 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Dipartimento di Fisica dell’UniversitàMilanoItaly
  2. 2.Istituto Nazionale di Fisica Nucleare, Sezione di MilanoMilanoItaly
  3. 3.Gruppo Nazionale per la Fisica MatematicaSesto Fiozentino (Fi)Italy

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