Moving mirrors in Schrödinger picture.

Physics

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Black Holes: Formation, Gravitational Collapse

Scientific paper

The authors formulate the problem of accelerating mirrors upon which quantum fields satisfy Dirichlet boundary conditions, with the associated Hawking effect, in a functional Schrödinger picture. Systems of this kind model some aspects of gravitational collapse leading to the formation of a black-hole. The criterion for the non-separability of the mode expansion in space- and time-dependences is the non-vanishing of a certain second-rank antisymmetric functional. Arbitrarily moving mirrors involve the functional analogue of the quantum mechanics of a charged particle in an external magnetic field. It is solved explicitly for a special case corresponding to the analogue of gravitational collapse.

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