canonical transformation
[kəˈnɑːnɪkəl ˌtrænsfərˈmeɪʃən]
nounpl: canonical transformations
transformação canônica
1. A change of variables in Hamiltonian mechanics that preserves the canonical structure of Hamilton's equations, transforming generalized coordinates and momenta while maintaining the fundamental Poisson bracket relations.
The canonical transformation maps old coordinates (q, p) to new coordinates (Q, P) such that Hamilton's equations retain their form.
A transformação canônica mapeia as coordenadas antigas (q, p) para novas coordenadas (Q, P) de modo que as equações de Hamilton mantêm sua forma.
2. In classical mechanics, a symplectic transformation that preserves the symplectic structure and allows simplification of complex mechanical problems.
Using a canonical transformation, the physicist simplified the pendulum problem by eliminating the time dependence.
Usando uma transformação canônica, o físico simplificou o problema do pêndulo eliminando a dependência do tempo.
This is a specialized physics terminology used primarily in academic and research contexts in both Brazil and Portugal. The term is consistently used in graduate-level mechanics courses and theoretical physics literature across both Brazilian Portuguese and European Portuguese speaking communities.
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