Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions
The virial theorem for nonrelativistic complex fields in D spatial dimensions and with arbitrary many-body potential is derived, using path-integral methods and scaling arguments recently developed to analyze quantum anomalies in low-dimensional systems. The potential appearance of a Jacobian J due...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/796275 |
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| author | Chris L. Lin Carlos R. Ordóñez |
| author_facet | Chris L. Lin Carlos R. Ordóñez |
| author_sort | Chris L. Lin |
| collection | DOAJ |
| description | The virial theorem for nonrelativistic complex fields in D spatial
dimensions and with arbitrary many-body potential is derived, using path-integral methods and scaling arguments recently developed to analyze quantum anomalies in low-dimensional systems. The potential
appearance of a Jacobian J due to a change of variables in the path-integral expression for the partition function of the system is pointed out, although in order to make contact with the literature most of the analysis deals with the J=1 case. The virial theorem is recast into a form that displays the effect of microscopic scales on the thermodynamics of the system. From the point of view of this paper the case usually considered, J=1, is not natural, and the generalization to the case J≠1 is briefly presented. |
| format | Article |
| id | doaj-art-b6c8214acd1f43b1bb04b6e6bbda507e |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b6c8214acd1f43b1bb04b6e6bbda507e2025-08-20T03:39:31ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/796275796275Virial Theorem for Nonrelativistic Quantum Fields in D Spatial DimensionsChris L. Lin0Carlos R. Ordóñez1Department of Physics, University of Houston, Houston, TX 77204-5005, USADepartment of Physics, University of Houston, Houston, TX 77204-5005, USAThe virial theorem for nonrelativistic complex fields in D spatial dimensions and with arbitrary many-body potential is derived, using path-integral methods and scaling arguments recently developed to analyze quantum anomalies in low-dimensional systems. The potential appearance of a Jacobian J due to a change of variables in the path-integral expression for the partition function of the system is pointed out, although in order to make contact with the literature most of the analysis deals with the J=1 case. The virial theorem is recast into a form that displays the effect of microscopic scales on the thermodynamics of the system. From the point of view of this paper the case usually considered, J=1, is not natural, and the generalization to the case J≠1 is briefly presented.http://dx.doi.org/10.1155/2015/796275 |
| spellingShingle | Chris L. Lin Carlos R. Ordóñez Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions Advances in High Energy Physics |
| title | Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions |
| title_full | Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions |
| title_fullStr | Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions |
| title_full_unstemmed | Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions |
| title_short | Virial Theorem for Nonrelativistic Quantum Fields in D Spatial Dimensions |
| title_sort | virial theorem for nonrelativistic quantum fields in d spatial dimensions |
| url | http://dx.doi.org/10.1155/2015/796275 |
| work_keys_str_mv | AT chrisllin virialtheoremfornonrelativisticquantumfieldsindspatialdimensions AT carlosrordonez virialtheoremfornonrelativisticquantumfieldsindspatialdimensions |