35.5 For further reading
Concept links · terms present in this machine draft; source roles are unverified: group action
For much more about Lagrangian mechanics and its relation to the Hamiltonian formalism, see [2]. More details along the lines of the discussion here can be found in most quantum mechanics and quantum field theory textbooks. An extensive discussion at an introductory level of the Lagrangian formalism and the use of Noether’s theorem to find conserved quantities when it is invariant under a group action can be found in [63]. For the formalism of constrained Hamiltonian dynamics, see [90], and for a review article about the covariant phase space and the Peierls bracket, see [50].
For the path integral, Feynman’s original paper [21] or his book [24] are quite readable. A typical textbook discussion is the one in chapter 8 of Shankar [81]. The book by Schulman [77] has quite a bit more detail, both about applications and about the problems of phase space path integrals. Yet another fairly comprehensive treatment, including the fermionic case, is the book by Zinn-Justin [110].
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来源版本：2025-10-20
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