What is it about?

Lambert W and polylogarithm functions help scientists describe how heat and electricity move through materials. By using these mathematical tools, researchers can design new materials that turn waste heat into power, improve solar energy systems, and make quantum computers more stable. This study connects mathematics and material science to develop sustainable technologies that reduce energy loss and support cleaner, more efficient energy solutions.

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Why is it important?

This work is unique because it bridges advanced mathematics with material science to address global challenges in clean energy and quantum technology. By applying the Lambert W and polylogarithm functions, tools rarely used outside theoretical physics, we reveal new ways to optimize materials that convert heat into electricity, improve solar cell efficiency, and stabilize quantum computing hardware. The study arrives at a timely moment when sustainable energy solutions and quantum technologies are advancing rapidly, offering a mathematical framework that can guide real-world innovation toward greener, more efficient systems.

Perspectives

Writing this article was deeply rewarding because it brought together ideas from physics, mathematics, and sustainability...fields that may seem unrelated but share a common goal of understanding and improving the world around us. Working with collaborators across continents made the process especially meaningful, as each brought a unique perspective on how abstract mathematical tools can lead to tangible innovations in clean energy and quantum technologies. I hope readers see how something as theoretical as an equation can have real power to shape a more sustainable and technologically advanced future.

Malavika Nair
Western University

Read the Original

This page is a summary of: The Lambert W function and polylogarithm functions in complex modelling for green quantum material innovations, January 2025, American Institute of Physics,
DOI: 10.1063/5.0296098.
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