Abstract
An axiomatic foundation of a quantum theory for microsystems in the presence of external fields is developed. The space-time structure is introduced by considering the invariance of the theory under a kinematic invariance group. The formalism is illustrated by the example of charged particles in electromagnetic potentials. In the example, gauge invariance is discussed.
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References
G. Ludwig,An Axiomatic Basis for Quantum Mechanics, I, II (Springer, New York, 1985, 1987).
H. Neumann, “Which ideas on the action of microsystems in EPR experiments are compatible with quantum theory?,” inSymposion on The Foundations of Modern Physics, P. Lahti and P. Mittelstaedt, eds. (World Scientific, Singapore, 1985).
R. Werner, “Bell's inequalities and quantum field theory,”J. Math. Phys. 28, 2240–2456 (1987).
R. R. Schlicher, W. Becker, J. Bergou, and M. O. Scully, “Interaction Hamiltonians in quantum optics or:p ·A vs.E ·r revisited,” inQuantum Electrodynamics and Optics (NATO ASI Series, Vol. 110), A. O. Barut, ed. (Plenum, New York, 1983).
K.-H. Yang, “Gauge transformations and quantum mechanics,”Ann. Phys. 101, 62–96 (1978).
K. Kraus,States, Effects, and Observables (Springer, Berlin, 1983).
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Klüppel, M., Neumann, H. The space-time structure of quantum systems in external fields. Found Phys 19, 985–998 (1989). https://doi.org/10.1007/BF01883152
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DOI: https://doi.org/10.1007/BF01883152