Eliminating the Second-Order Time Dependence from the Time Dependent Schrödinger Equation Using Recursive Fourier Transforms

Eliminating the Second-Order Time Dependence from the Time Dependent Schrödinger Equation Using Recursive Fourier Transforms

A strategy is developed for writing the time-dependent Schrödinger Equation (TDSE), and more generally the Dyson Series, as a convolution equation using recursive Fourier transforms, thereby decoupling the second-order integral from the first without using the time ordering operator. The energy dist...

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Bibliographic Details
Main Author: Sky Nelson-Isaacs
Format: Article
Language:English
Published: MDPI AG 2024-06-01
Series:Quantum Reports
Subjects:
time-dependent Schrödinger equation
recursive Fourier transform
perturbation theory
Dyson series
bosonic sampling
four-wave mixing
Online Access:https://www.mdpi.com/2624-960X/6/3/21

Internet

https://www.mdpi.com/2624-960X/6/3/21

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