Reparametrization Invariance and the Schrödinger Equation
نویسنده
چکیده
In the present work we consider a time-dependent Schrödinger equation for systems invariant under the reparametrization of time. We develop the two-stage procedure of construction such systems from a given initial ones, which is not invariant under the time reparametrization. One of the first-class constraints of the systems in such description becomes the time-dependent Schrödinger equation. The procedure is applicable in the supersymmetric theories as well. The n = 2 supersymmetric quantum mechanics is coupled to world-line supergravity, and the local supersymmetric action is constructed leading to the square root representation of the time-dependent Schrödinger equation. E-mail: [email protected] E-mail: [email protected] E-mail: [email protected]
منابع مشابه
Propertime Theories and Reparametrization-invariant Theories
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