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PreprintCC0arXiv

Scattering and Tunneling in Real Quantum Mechanics

  • Firdevs Karakus
  • Daniil Stepanenko
  • Igor Volovich
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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.

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Cite

BibTeXRIS
BibTeX
@misc{karakus2026scattering,
  title = {{Scattering and Tunneling in Real Quantum Mechanics}},
  author = {Firdevs Karakus and Daniil Stepanenko and Igor Volovich},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01066},
  eprint = {2609.01066},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01066},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Scattering and Tunneling in Real Quantum Mechanics
AU  - Firdevs Karakus
AU  - Daniil Stepanenko
AU  - Igor Volovich
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01066
UR  - https://arxiv.org/abs/2609.01066
AB  - 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.
ER  -