On the Equivalence Between the Schrodinger Equation in Quantum Mechanics and the Euler-Bernoulli Equation in Elasticity Theory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909511321649152 |
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| author | Volovich, Igor |
| author_facet | Volovich, Igor |
| contents | In this note, we show that the Schrodinger equation in quantum mechanics is mathematically equivalent to the Euler-Bernoulli equation for vibrating beams and plates in elasticity theory, with dependent initial data. Remarks are made on potential applications of this equivalence for symplectic and quantum computing, the two-slit experiment using vibrating beams and plates, and the p-adic Euler-Bernoulli equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03261 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Equivalence Between the Schrodinger Equation in Quantum Mechanics and the Euler-Bernoulli Equation in Elasticity Theory Volovich, Igor Mathematical Physics High Energy Physics - Theory Analysis of PDEs In this note, we show that the Schrodinger equation in quantum mechanics is mathematically equivalent to the Euler-Bernoulli equation for vibrating beams and plates in elasticity theory, with dependent initial data. Remarks are made on potential applications of this equivalence for symplectic and quantum computing, the two-slit experiment using vibrating beams and plates, and the p-adic Euler-Bernoulli equation. |
| title | On the Equivalence Between the Schrodinger Equation in Quantum Mechanics and the Euler-Bernoulli Equation in Elasticity Theory |
| topic | Mathematical Physics High Energy Physics - Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2411.03261 |