An illustration of electron-phonon coupling between valence and conduction states in momentum and real space. Credit: Cmelni/Wikimedia Commons. commons.wikimedia.org ...

Physicists have directly mapped a hidden kind of geometry inside quantum materials that steers electrons in ways strikingly ...

A new theoretical framework released today proposes that the vacuum of space is not a smooth void, but a geometrically structured medium with a finite information density. The  Selection-Stitch Model ...

For a century, the Schrödinger equation has been the bedrock of quantum mechanics, successfully predicting how matter behaves as a wave. Yet, physics has lacked a fundamental explanation for why ...

The field of complex geometry, intertwined with Lie theory, represents a vibrant area where algebraic and differential techniques converge to unravel the structure of complex manifolds and their ...

The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook was a trip to the Social Security office. It was the fall of 2004 and the two of them were promising young graduate students in ...

Transactions of the American Mathematical Society, Vol. 365, No. 9 (SEPTEMBER 2013), pp. 4575-4632 (58 pages) In this paper, an intersection theory for generic differential polynomials is presented.

A new theory aims to explain how the complex vertebrate body, with its skeleton, muscles, nervous and cardiovascular systems, arises from a single cell during development and how these systems evolved ...

A new study published in Nature Physics introduces a theory of electron-phonon coupling that is affected by the quantum geometry of the electronic wavefunctions. The movement of electrons in a lattice ...