dorsal/arxiv
View SchemaRotation in liquid $^4$He: Lessons from a toy model
| Authors | Kevin K. Lehmann |
|---|---|
| Categories | |
| ArXiv ID | physics/0008241 |
| URL | https://arxiv.org/abs/physics/0008241 |
| DOI | 10.1063/1.1334620 |
| Journal | J. Chem. Phys. 114, 4643-4648 (2001) |
Abstract
This paper presents an analysis of a model problem, consisting of two interacting rigid rings, for the rotation of molecules in liquid $^4$He. Due to Bose symmetry, the excitation of the rotor corresponding to a ring of N helium atoms is restricted to states with integer multiples of N quanta of angular momentum. This minimal model shares many of the same features of the rotational spectra that have been observed for molecules in nanodroplets of $\approx 10^3 - 10^4$ helium atoms. In particular, this model predicts, for the first time, the very large enhancement of the centrifugal distortion constants that have been observed experimentally. It also illustrates the different effects of increasing rotational velocity by increases in angular momentum quantum number or by increasing the rotational constant of the molecular rotor. It is found that fixed node, diffusion Monte Carlo and a hydrodynamic model provide upper and lower bounds on the size of the effective rotational constant of the molecular rotor when coupled to the helium.
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"abstract": "This paper presents an analysis of a model problem, consisting of two\ninteracting rigid rings, for the rotation of molecules in liquid $^4$He. Due to\nBose symmetry, the excitation of the rotor corresponding to a ring of N helium\natoms is restricted to states with integer multiples of N quanta of angular\nmomentum. This minimal model shares many of the same features of the rotational\nspectra that have been observed for molecules in nanodroplets of $\\approx 10^3\n- 10^4$ helium atoms. In particular, this model predicts, for the first time,\nthe very large enhancement of the centrifugal distortion constants that have\nbeen observed experimentally. It also illustrates the different effects of\nincreasing rotational velocity by increases in angular momentum quantum number\nor by increasing the rotational constant of the molecular rotor. It is found\nthat fixed node, diffusion Monte Carlo and a hydrodynamic model provide upper\nand lower bounds on the size of the effective rotational constant of the\nmolecular rotor when coupled to the helium.",
"arxiv_id": "physics/0008241",
"authors": [
"Kevin K. Lehmann"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1063/1.1334620",
"journal_ref": "J. Chem. Phys. 114, 4643-4648 (2001)",
"title": "Rotation in liquid $^4$He: Lessons from a toy model",
"url": "https://arxiv.org/abs/physics/0008241"
},
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