Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. Results for the Saturation Liquid Density of $^4$He
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917222823231488 |
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| author | Attard, Phil |
| author_facet | Attard, Phil |
| contents | A Metropolis Monte Carlo algorithm is given for the case of a complex phase space weight, which applies generally in quantum statistical mechanics. Computer simulations using Lennard-Jones $^4$He near the $λ$-transition, including an expansion to third order of the Wigner-Kirkwood commutation function, give a saturation liquid density in agreement with measured values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09948 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. Results for the Saturation Liquid Density of $^4$He Attard, Phil Statistical Mechanics Quantum Gases Computational Physics Quantum Physics A Metropolis Monte Carlo algorithm is given for the case of a complex phase space weight, which applies generally in quantum statistical mechanics. Computer simulations using Lennard-Jones $^4$He near the $λ$-transition, including an expansion to third order of the Wigner-Kirkwood commutation function, give a saturation liquid density in agreement with measured values. |
| title | Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. Results for the Saturation Liquid Density of $^4$He |
| topic | Statistical Mechanics Quantum Gases Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2512.09948 |