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Hamiltonians for constrained N-particle systems

✍ Scribed by A. Nauts; X. Chapuisat

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
515 KB
Volume
136
Category
Article
ISSN
0009-2614

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✦ Synopsis

The efficiency of the theoretical methods to obtain exact expressions of classical and quantum-mechanical Hamiltonians for N-particle systems described in terms of curvilinear coordinates (q), is shown to depend strongly on whether the system is subjected to constraints or not. If it is free, the method based upon the use of the relations q = q(x), where x denotes moving-frame Cartesian coordinates of the particles, is preferable. If it is constrained, the method making use of x = x(q) can become more efficient.

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