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Linear canonical transformation

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In Hamiltonian mechanics, the linear canonical transformation (LCT) is a family of integral transforms that generalizes many classical transforms. It has 4 parameters and 1 constraint, so it is a 3-dimensional family, and can be visualized as the action of the special linear group SL2(R) on the time–frequency plane (domain). As this defines the original function up to a sign, this translates into an action of its double cover on the original function space.

Linear canonical transformation - Wikipedia Jump to content From Wikipedia, the free encyclopedia Integral transform In Hamiltonian mechanics , the linear canonical transformation ( LCT ) is a family of integral transforms that generalizes many classical transforms. It has 4 parameters and 1 constraint, so it is a 3-dimensional family, and can be visualized as the action of the special linear group SL 2 ( C ) on the time–frequency plane (domain). As this defines the original function up to a sign, this translates into an action of its double cover on the original function space . The LCT gener

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