The Characteristic Velocity vc = h / (mL): A Fundamental Scale Linking Quantum Wavelength and System Geometry
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| Format: | Recurso digital |
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Zenodo
2025
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| _version_ | 1866902161304059904 |
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| author | ARRABAL, HUMBERTO |
| author_facet | ARRABAL, HUMBERTO |
| contents | <p>Quantum mechanics posits that particles exhibit wave-like behavior, quantified by the de Broglie <br>wavelength λ_dB = h / (mv), where h is Planck's constant, m is the particle's mass, and v is its velocity. <br>The manifestation and observability of quantum wave phenomena, such as interference and diffraction,<br>within a physical system critically depend on the relationship between λ_dB and the system's <br>characteristic length scale, L. This work derives a characteristic velocity, vc = h / (mL), which serves as<br>a universal kinematic benchmark. This velocity delineates the regime where a particle's quantum <br>wavelength becomes commensurate with the spatial scale L, leading to the prominent expression of <br>wave phenomena intrinsically tied to that geometry.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15269449 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Characteristic Velocity vc = h / (mL): A Fundamental Scale Linking Quantum Wavelength and System Geometry ARRABAL, HUMBERTO <p>Quantum mechanics posits that particles exhibit wave-like behavior, quantified by the de Broglie <br>wavelength λ_dB = h / (mv), where h is Planck's constant, m is the particle's mass, and v is its velocity. <br>The manifestation and observability of quantum wave phenomena, such as interference and diffraction,<br>within a physical system critically depend on the relationship between λ_dB and the system's <br>characteristic length scale, L. This work derives a characteristic velocity, vc = h / (mL), which serves as<br>a universal kinematic benchmark. This velocity delineates the regime where a particle's quantum <br>wavelength becomes commensurate with the spatial scale L, leading to the prominent expression of <br>wave phenomena intrinsically tied to that geometry.</p> |
| title | The Characteristic Velocity vc = h / (mL): A Fundamental Scale Linking Quantum Wavelength and System Geometry |
| url | https://doi.org/10.5281/zenodo.15269449 |