Abstract
A new kind of path integral is introduced. In ordinary quantum mechanics, it gives the projectors on the eigenspaces of the Hamiltonian. For parametrized systems, it represents a direct path integral version of the Dirac canonical quantization method by giving the projector on the physical space. Its properties on the most simple examples are studied. Applying it to quantum cosmology, the Hartle–Hawking wave function of the universe is recalculated.
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