This article explores how our understanding of the universe has evolved—from the scale of everyday experience down to the ...

Quantum mechanics continues to offer profound insights into the fundamental nature of matter and energy, and the use of special functions plays a critical role in obtaining exact analytical solutions ...

Irish physicist William Rowan Hamilton’s pioneering work contained hints of the enigmatic wave–particle duality that governs ...

Quantum mechanics theory predicts that, in addition to exhibiting particle-like behavior, particles of all sizes can also have wave-like properties. These properties can be represented using the wave ...

Students learning quantum mechanics are taught the Schrodinger equation and how to solve it to obtain a wave function. But a crucial step is skipped because it has puzzled scientists since the ...

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 ...