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Classical and Quantum Mechanics of the Wien Velocity Filter

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Abstract

Classical and quantum theories of the Wien velocity filter are presented. The classical theory is based on the beam optical Hamiltonian and the Lie operator method, which readily leads to the results obtained through the widely used differential equations approach. So far, the quantum mechanics of the Wien filter has not been studied. We explain the quantum mechanics of the Wien filter based on the Dirac equation.

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Acknowledgements

We thank the reviewer for comments leading to improvement of the presentation.

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Authors and Affiliations

  1. Department of Mathematics and Sciences, College of Arts and Applied Sciences (CAAS), Dhofar University, Post Box No. 2509, Salalah, 211, Sultanate of Oman

    Sameen Ahmed Khan

  2. Retired Faculty, Theoretical Physics Group, The Institute of Mathematical Sciences, 4th Cross Street, Central Institutes of Technology (CIT) Campus, Tharamani, Chennai, 600113, India

    Ramaswamy Jagannathan

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Khan, S.A., Jagannathan, R. Classical and Quantum Mechanics of the Wien Velocity Filter. Int J Theor Phys 63, 16 (2024). https://doi.org/10.1007/s10773-023-05530-6

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