Exact solutions of the Schrödinger equation have long provided fundamental insights into quantum mechanics by furnishing explicit analytical expressions for wave functions and energy spectra. These ...

The study of quantum dynamics in conjunction with nonlinear Schrödinger equations (NLS) sits at the confluence of mathematical physics, quantum mechanics and nonlinear analysis. This field ...

Black hole singularities should not exist, according to theories of quantum mechanics. New tweaks to Einstein's equations of general relativity could finally do away with them, and explain what truly ...

Several physicists have proposed theories that try to unite quantum mechanics with Einstein’s general theory of relativity.

Physicists have proposed modifications to the infamous Schrödinger's cat paradox that could help explain why quantum particles can exist in more than one state simultaneously, while large objects ...

For almost a century, physicists have been intrigued by the fundamental question: why are complex numbers so important in quantum mechanics, that is, numbers containing a component with the imaginary ...

Quantum mechanics is one of the most successful theories in science — and makes much of modern life possible. Technologies ranging from computer chips to medical-imaging machines rely on the ...

Robyn Arianrhod does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...