Work

Scattering and Tunneling in Real Quantum Mechanics

Year: 2026

Type: preprint

Abstract: We establish the general form of the evolution equation and study scattering and tunneling in real quantum mechanics. We prove an analogue of Stone's theorem for a real Kahler space and derive the corresponding general evolution equation, whose evolution operator is both orthogonal and symplectic. We formulate scattering theory in terms of real wave operators and the associated S-matrix. For the class of potentials considered, we show that the differential scattering cross section is equivalent to that obtained in standard complex quantum mechanics. We also show that the tunneling probability in real quantum mechanics is identical to that in complex quantum mechanics.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.01066

Authors: Karakus, Firdevs, Stepanenko, Daniil, Volovich, Igor

Institutions: Boğaziçi University, Russian Academy of Sciences, Steklov Mathematical Institute

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7206161792

Cites: 30

Cited by:

Related to: 10