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Accession Number: 2719272
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Document Type: Journal Paper
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Title: Lagrangian
analysis of the third-order invariant equations of motion in the relativistic
mechanics of classical particles
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Author(s):
Matsyuk, R.Ya.
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Source:
Soviet Physics - Doklady vol.30, no.6 : 458-60, June 1985
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Original Source: Doklady Akademii Nauk SSSR vol.282, no.4-6 : 841-4, June 1985
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Language:
English
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Treatment:
Theoretical or Mathematical
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Abstract:
The author examines the question of the existence of the invariant
third-order Euler-Poisson equations in a pseudo-Euclidean space. Locally, the
variational problem is determined by a Lagrangian density L(t,x,v,v')dt in
the space of second-order jets J/sub 2/(R,R/sup n-1/). The author shows that
the proposed method for finding the invariant Euler-Poisson equations is much
more general than the methods arising from the Lagrangian.
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Controlled Indexing: relativistic mechanics
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Uncontrolled Indexing: Lagrangian analysis; third-order invariant equations of motion;
relativistic mechanics; classical particles; invariant third-order
Euler-Poisson equations; pseudo-Euclidean space; variational problem;
Lagrangian density; second-order jets
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Classification Code(s):
A0330 Special relativity
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Author Address: Inst. of Appl. Problems of Mech. & Math., Acad. of Sci.,
L'vov, Ukrainian SSR, USSR
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Country of Translation: USA
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Number of References: 14
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Abstract Number: A86093637
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CODEN:
SPHDA9
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CODEN of Original: DANKAS
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ISSN:
0038-5689
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ISSN of Original: 0002-3264
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U.S. Copyright Clearance Center Code: 0038-5689/85/060458-03$02.20
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