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Alternative descriptions in quaternionic quantum mechanics
2005
Journal of Mathematical Physics
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We characterize the quasianti-Hermitian quaternionic operators in QQM by means of their spectra; moreover, we state a necessary and sufficient condition for a set of quasianti-Hermitian quaternionic operators to be anti-Hermitian with respect to a uniquely defined positive scalar product in a infinite dimensional (right) quaternionic Hilbert space. According to such results we obtain two alternative descriptions of a quantum optical physical system, in the realm of quaternionic quantum
doi:10.1063/1.1873040
fatcat:f2myyazo65ag5cqhom7v4cqqpu