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quant-ph2025
Notes on Real Quantum Mechanics in a Kahler Space
Irina Aref'eva, Igor Volovich
The necessity of complex numbers in quantum mechanics has long been debated. This paper develops a real Kahler space formulation of quantum mechanics [19], asserting equivalence to…
quant-ph2025
Real Quantum Mechanics in a Kahler Space
Igor Volovich
In this paper, we demonstrate the equivalence between the complex Hilbert space and real Kahler space formulations of quantum mechanics. Complex numbers play an important role in t…
quant-ph2024
Quantum vs. Symplectic Computers
Igor Volovich
In this paper, we propose the concept of symplectic computers, which have the potential to be more powerful than quantum computers. Unlike quantum computing, which consists of a se…