RT Journal Article
T1 The Wigner formalism on black hole geometries
A1 Ruiz Cembranos, José Alberto
A1 García García, David
AB This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle bound to a Schwarzschild black hole using a phase-space representation of quantum mechanics. The analysis begins with a review of the covariant Wigner function in curved spacetime, highlighting its application to spherically symmetric, uncharged black holes. We then derive an effective potential from the Schwarzschild metric, which defines the Hamiltonian for the electron. Relativistic corrections are treated perturbatively to estimate energy levels and associated Wigner functions for the bound state. Additionally, we compare the results obtained through the Schr & ouml;dinger equation with those derived directly using the symplectic formalism, demonstrating the consistency and versatility of the phase-space approach. The study sheds light on quantum behavior near black holes and suggests new avenues for combining quantum kinetic theory with relativistic gravitational settings.
PB Springer Nature
SN 1434-6044
YR 2025
FD 2025-05-02
LK https://hdl.handle.net/20.500.14352/119965
UL https://hdl.handle.net/20.500.14352/119965
LA eng
NO Cembranos, J.A.R., García, D.G. The Wigner formalism on black hole geometries. Eur. Phys. J. C 85, 479 (2025).
NO CA21106CA21136CA22113CA23130
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO European Commission
DS Docta Complutense
RD 7 jun 2025