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Add support for dynamic properties calculation #31

@fedluc

Description

@fedluc

Problem Statement

Currently, the code does not support the computation of dynamic properties such as the intermediate scattering function and dynamic structure factor, despite the availability of well-established formulas in the literature (see reference).

Proposed Solution

We should extend the code to allow for the computation of these dynamic properties across all schemes. This will require:

  • Input Modifications:
    • The user must be able to specify the grid for imaginary time, which is necessary for computing the intermediate scattering function.
    • Modifying the input class of the Rpa class should be sufficient to incorporate this functionality.
  • Implementation of Dedicated Methods:
    • While the classical and quantum schemes rely on equivalent formulations, their expressions differ slightly
    • Dedicated methods may be required to properly compute the intermediate scattering function for both formulations.

By implementing these changes, we can provide users with a more comprehensive toolkit for analyzing dynamic properties, expanding the applicability of the code.

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