In the contemporary mathematical landscape, non-commutative harmonic analysis stands out as a major discipline, breaking the boundaries of classical harmonic analysis developed since the 18th century. This branch refines its sophistication by directing its tools towards algebraic structures where commutativity is absent, thus offering unprecedented perspectives in quantum mechanics and beyond. The quantum Fourier transform … Read more
The quantum tunneling effect is among the most fascinating and astonishing phenomena in modern physics. At first glance, it challenges the classical laws of mechanics that we intuitively apply to our macroscopic world. However, at the heart of the infinitely small, in the realm of atomic and subatomic particles, this phenomenon plays a fundamental role … Read more
IN BRIEF Applied mathematics to quantum mechanics Use of complex numbers to model wave-like phenomena Emission of electrons from metallic materials under light radiation Applications of group theory to describe the symmetries of physical systems Solutions described by periodic vibration modes Impact of mathematics on advances in quantum physics Mathematics plays a fundamental role in … Read more