Comment on “Neutrino interaction with matter in a noninertial frame”
Abstract In this comment, we obtain the complete energy levels for Dvornikov’s paper [1], that is, the energy levels dependent on two quantum numbers, namely, the radial quantum number (given by N) and the angular quantum number (given by J z ). In particular, what motivated us to do this was the fa...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)085 |
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| Summary: | Abstract In this comment, we obtain the complete energy levels for Dvornikov’s paper [1], that is, the energy levels dependent on two quantum numbers, namely, the radial quantum number (given by N) and the angular quantum number (given by J z ). In particular, what motivated us to do this was the fact that the quantized energy levels for particles (fermions or bosons) in polar, cylindrical, or spherical coordinates depend on two quantum numbers: a radial quantum number and an angular quantum number. From this, the following question/doubt arose: why do the energy levels in Dvornikov’s paper only depend on one quantum number? That is, Where did the angular quantum number given by J z go? So, using Studenikin’s paper [19] as a starting point (as well as others in the literature), we write one of the equations from Dvornikov’s paper [1] in a matrix form. Next, we use the four-component Dirac spinor and obtain a set/system of four coupled first-order differential equations. From the first two equations with m → 0, we obtain a (compact) second-order differential equation for the last two spinor components. So, solving this equation, we obtain the neutrino energy levels, which explicitly depend on both N and J z . Finally, we note that for J z > 0 (positive angular momentum) with u = +1 (component ψ 3), we obtain exactly the particular energy levels of Dvornikov’s paper [1]. |
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| ISSN: | 1029-8479 |