The paper claims unbounded quaternionic subnormal operators solve the quaternionic quantum q-oscillator equation and that quaternionic Hamiltonians are unitarily equivalent to multiplication operators on Hardy spaces.
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Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics
The paper claims unbounded quaternionic subnormal operators solve the quaternionic quantum q-oscillator equation and that quaternionic Hamiltonians are unitarily equivalent to multiplication operators on Hardy spaces.