On path integrals for wave functions taking $p$-adic values
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918253639499776 |
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| author | Hu, Su Kim, Min-Soo |
| author_facet | Hu, Su Kim, Min-Soo |
| contents | In this paper, we construct a $p$-adic path integral via $p$-adic multiple integrals. This integral describes the evolution of a wave function $Ψ(x)$, which is defined as a map from a domain in $\mathbb{C}_{p}$ to $\mathbb{C}_{p}$. We also compute the Feynman propagator for free particles, demonstrating that the result obtained is similar to the classical counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18675 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On path integrals for wave functions taking $p$-adic values Hu, Su Kim, Min-Soo Mathematical Physics Number Theory 81S40, 26E30 In this paper, we construct a $p$-adic path integral via $p$-adic multiple integrals. This integral describes the evolution of a wave function $Ψ(x)$, which is defined as a map from a domain in $\mathbb{C}_{p}$ to $\mathbb{C}_{p}$. We also compute the Feynman propagator for free particles, demonstrating that the result obtained is similar to the classical counterparts. |
| title | On path integrals for wave functions taking $p$-adic values |
| topic | Mathematical Physics Number Theory 81S40, 26E30 |
| url | https://arxiv.org/abs/2510.18675 |