10. E. Conte, Considerations of Quantum Ergodic Systems and Biquaternion Quantum Mechanics

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Volume 5: Pages 70-74, 1992

Considerations of Quantum Ergodic Systems and Biquaternion Quantum Mechanics

E. Conte 1

1Istituto di Cibernetica, Politecnico di San Marino, Repubblica di San Marino

A quantum mechanical system (S) is discussed in which a transition from quantum mechanics to statistical quantum mechanics is required and characterized by an averaging process. It is shown that the wave function Ψ(t) of (S) involves the use of biquaternions in order to collapse, and a violation of ergodic conditions is evidenced.

Keywords: biquaternion quantum mechanics, ergodic conditions, collapse of wave function, biquaternion, quantum statistics

Received: July 3, 1990; Published Online: December 15, 2008