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quant-ph2026
The quantum harmonic oscillator and the real Hilbert space
Sergio Giardino
The harmonic oscillator is considered within generalized frameworks using complex and quaternionic numbers. The classical oscillator is considered in terms of a complex position fu…
quant-ph2026
Deformed angular momentum algebra within the real Hilbert space
Sergio Giardino
Starting from generalized position operators, we derive complex and quaternionic angular momentum operators along with their commutation algebra as well. These algebras differ from…
quant-ph2026★ 1 cited
Quantum self-interaction within an infinitely deep cavity
Sergio Giardino
One examines the infinitely deep quantum cavity, also known as the quantum infinite square well, within the framework of the real Hilbert space. The solutions are considered in ter…