Summary
Conformal mappings are used to evaluate the transition amplitude between a quantum-mechanical system and a massless scalar field influenced by a moving boundary condition. The transition probability can bo written in terms of a detector cross-section and the expectation value of particle, number operator in the usual vacuum state.
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Lüschen, H., Thiklheim, K.O. Quantized scalar field of an accelerated mirror in interaction with quantum-mechanical systems. Lett. Nuovo Cimento 34, 327–332 (1982). https://doi.org/10.1007/BF02816979
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DOI: https://doi.org/10.1007/BF02816979