Schrodinger Equation for Lagrangian Path Integral with Scaling of Local Time
A.K Kapoor, Pankaj Sharan
TL;DR
This paper introduces a novel method to derive the Schrödinger equation from the Lagrangian path integral framework incorporating local time scaling, enhancing the understanding of quantum dynamics.
Contribution
It presents a new derivation technique for the Schrödinger equation using scaled local time in the path integral approach, which was not previously explored.
Findings
Derivation of Schrödinger equation with local time scaling
New insights into quantum path integrals
Potential applications in quantum mechanics modeling
Abstract
A method for deriving the Schrodinger equation for Lagrangian path integral with scaling of local time is given.
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Taxonomy
Topicsadvanced mathematical theories · Algebraic and Geometric Analysis · Differential Equations and Boundary Problems