Hermitian Hamiltonians are a fundamental concept in quantum mechanics, serving as the mathematical foundation for describing the energy and time evolution of quantum systems. They are named after the ...

The representation of quantum states as abstract vectors. Superposition of states. Quantum operators and their matrix representations. Angular momentum operator as the generator of rotations.

In single Hilbert space, Pauli's well-known theorem implies that the existence of a self-adjoint time operator canonically conjugate to a given Hamiltonian requires the Hamiltonian to possess ...

A research team proposes an efficient experimental platform for non-Hermitian physics research. When optical gain or loss are precisely controlled using nanophotonics, a new physical event called the ...