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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2512.22232 |
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| _version_ | 1866912790934978560 |
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| author | Senjaya, Deriyan |
| author_facet | Senjaya, Deriyan |
| contents | This study explores the influence of a Stark-like perturbative potential on a quantum particle confined to a cylindrical surface (QPCS) and its implications for extra-dimensional theories. The QPCS framework is particularly relevant to Kaluza-Klein (KK) theory, which postulates extra spatial dimensions to unify electromagnetism and gravity. In KK theory, these extra dimensions are typically hidden and require high-energy conditions for detection. Motivated by the challenge of uncovering these dimensions more feasibly, this research applies a perturbative potential of the form \hat{H}_{\text{SL}} = βzV_{o_{z}}(θ) to a QPCS characterized by length \textit{L} and radius R_{o}. This potential is inspired by the Stark effect in hydrogen atoms, where energy level splitting serves as an indicator of an external influence. The study demonstrates that, for a degenerate configuration (R_{o} = \frac{L}π), the Stark-like perturbation effectively induces energy level splitting, which can be interpreted as a means of revealing hidden dimensions. The first-order energy correction in this scenario depends explicitly on the quantum numbers n_{z} and n_θ, highlighting the potential for this approach to probe extra-dimensional effects in lower-energy quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Relativistic Quantum Particle Confined on a Cylindrical Surface under a Stark-like Potential Senjaya, Deriyan Quantum Physics This study explores the influence of a Stark-like perturbative potential on a quantum particle confined to a cylindrical surface (QPCS) and its implications for extra-dimensional theories. The QPCS framework is particularly relevant to Kaluza-Klein (KK) theory, which postulates extra spatial dimensions to unify electromagnetism and gravity. In KK theory, these extra dimensions are typically hidden and require high-energy conditions for detection. Motivated by the challenge of uncovering these dimensions more feasibly, this research applies a perturbative potential of the form \hat{H}_{\text{SL}} = βzV_{o_{z}}(θ) to a QPCS characterized by length \textit{L} and radius R_{o}. This potential is inspired by the Stark effect in hydrogen atoms, where energy level splitting serves as an indicator of an external influence. The study demonstrates that, for a degenerate configuration (R_{o} = \frac{L}π), the Stark-like perturbation effectively induces energy level splitting, which can be interpreted as a means of revealing hidden dimensions. The first-order energy correction in this scenario depends explicitly on the quantum numbers n_{z} and n_θ, highlighting the potential for this approach to probe extra-dimensional effects in lower-energy quantum systems. |
| title | Non-Relativistic Quantum Particle Confined on a Cylindrical Surface under a Stark-like Potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.22232 |