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Titlebook: Quantum Systems under Gravitational Time Dilation; Magdalena Zych Book 2017 Springer International Publishing AG 2017 Quantum Clocks.Time

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Quantum Clocks in General Relativity,This chapter derives and discusses quantisation of the relativistic “clock” Hamiltonian, providing dynamics of low energy quantum systems with internal degrees of freedom in a fixed background.
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Conclusions and Outlook,Quantum effects have been demonstrated with complex systems comprising tens of thousands of atoms [.,.,.,.,.]. The regime where general relativity affects internal dynamics of such systems might soon allow testing the interplay between quantum mechanics and general relativity.
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https://doi.org/10.1007/978-3-319-53192-2Quantum Clocks; Time Dilation in Quantum Physics; Gravitational Decoherence; Quantum and Gravity Interp
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Clocks Beyond Classical Space-Time,erties—i.e. a single clock can run different proper-times in superposition or two clocks can be entangled in their proper times, as discussed in the preceding chapters. This chapter discusses the regime where quantum theory has to be applied also to the massive systems–which according to General Relativity define casual relations between events.
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