Equivalence of the Sutherland Model to Free Particles on a Circle

N. Gurappa; Prasanta K. Panigrahi

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Equivalence of the Sutherland Model to Free Particles on a Circle

N. Gurappa, Prasanta K. Panigrahi

High Energy Physics - Theory · Submitted 19 Aug 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Using this, the $N$-particle Sutherland model, with pair-wise inverse sine-square interactions among the particles, is shown to be equivalent to free particles on a circle.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.10 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order. Using this, the $N$-particle Sutherland model, with pair-wise inverse sine-square interactions among the particles, is shown to be equivalent to free particles on a circle. Applicability of our method to many other few and many-body problems is also illustrated.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order.	method 0.63	0.90	0.04	asserted 1.00
s1	Using this, the $N$-particle Sutherland model, with pair-wise inverse sine-square interactions among the particles, is shown to be equivalent to free particles on a circle.	result 0.94	0.94	0.93	asserted 1.00
s2	Applicability of our method to many other few and many-body problems is also illustrated.	contribution 0.53	0.85	0.04	asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.57 · evidence from proof or derivation 1.00.

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arXiv listing abstract v2

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S sections
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C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order. Using this, the $N$-particle Sutherland model, with pair-wise inverse sine-square interactions among the particles, is shown to be equivalent to free particles on a circle. Applicability of our method to many other few and many-body problems is also illustrated.

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