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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Inverse Variational Problem In Classical Mechanics, The (Hardcover)
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Inverse Variational Problem In Classical Mechanics, The (Hardcover)
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This book provides a concise description of the current status of a
fascinating scientific problem - the inverse variational problem in
classical mechanics. The essence of this problem is as follows: one
is given a set of equations of motion describing a certain
classical mechanical system, and the question to be answered is: Do
these equations of motion correspond to some Lagrange function as
its Euler-Lagrange equations? In general, not for every system of
equations of motion does a Lagrange function exist; it can,
however, happen that one may modify the given equations of motion
in such a way that they yield the same set of solutions as the
original ones and they correspond already to a Lagrange function.
Moreover, there can even be infinitely many such Lagrange
functions, the relations among which are not trivial. The book
deals with this scope of problems. No advanced mathematical
methods, such as, contemporary differential geometry, are used. The
intention is to meet the standard educational level of a broad
group of physicists and mathematicians. The book is well suited for
use as lecture notes in a university course for physicists.
General
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