Mathematical classical mechanics is underpinned by Hamiltonian flows on symplectic and more general Poisson manifolds, with conserved energy functions defining vector fields whose integrability is ...

Schrödinger operator theory in function spaces examines the mapping properties and spectral behaviour of operators of the form L = –Δ + V, where Δ denotes the Laplace operator and V a nonnegative ...

Quantum mechanics has journeyed from a strange and controversial idea to the foundation of some of humanity’s most advanced technologies. Now researchers are pushing its boundaries even further, with ...

Proving that one quantum measure­ment is more powerful than another has long been diffi­cult. Physi­cists from Hein­rich ...

Physicists from Heinrich Heine University Düsseldorf (HHU) have examined a fundamental property of quantum mechanics in collaboration with the German Aerospace Center (DLR). In the scientific ...

Physicists from Heinrich Heine University Düsseldorf (HHU) have examined a fundamental property of quantum mechanics in collaboration with the German Aerospace Center (DLR). In an article published in ...

Quantum theory is often sold as a story about tiny particles, but its real disruption lands squarely on our everyday sense of what is real. At the smallest scales, the equations that power lasers, ...

The seeds of quantum theory were sown by Albert Einstein and others as early as 1905. But the theory came together properly 100 years ago in 1925 – and has exerted its influence ever since, as this ...

If you asked a thousand physicists, they would all disagree. This statement could apply to any number of topics – whether the universe is infinite, what dark matter is made of, how to make wires ...

Quantum mechanics is simultaneously beautiful and frustrating. Its explanatory power is unmatched. Armed with the machinery of quantum theory, we have unlocked the secrets of atomic power, divined the ...

What does quantum mechanics, the most successful theory ever proposed by physics, teach us about reality? The starting point for most philosophers of physics is that quantum mechanics must somehow ...