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- W3100599522 abstract "The virial theorem for nonrelativistic complex fields in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:math>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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>J</mml:mi></mml:mrow></mml:math>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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>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,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>, is not natural, and the generalization to the case<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mi>J</mml:mi><mml:mo>≠</mml:mo><mml:mn>1</mml:mn></mml:math>is briefly presented." @default.
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- W3100599522 date "2015-01-01" @default.
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- W3100599522 title "Virial Theorem for Nonrelativistic Quantum Fields in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:math>Spatial Dimensions" @default.
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- W3100599522 doi "https://doi.org/10.1155/2015/796275" @default.
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