Tag: Quantum Mechanics
-
Thomas Precession
Introduction Thomas precession, a relativistic phenomenon predicted by Llewellyn Thomas in 1926, has significant implications for the study of high-speed particle physics. It describes a correction factor applied to the motion of a spinning particle when observed from an inertial frame of reference, which is central to special relativity and quantum mechanics. Fundamental Concepts Thomas…
-
Green’s Function
Introduction In the expansive universe of mathematical physics, Green’s functions play an essential role. While the concept may seem abstract, a closer look reveals that Green’s functions offer us a way to solve some of the most complex problems in physics with elegant precision. Definition of Green’s Function Green’s function is defined as the impulse…
-
Chapter 21: Three Dimensional Quantum Mechanics
21.1 Introduction to Three Dimensional Quantum Mechanics While we have primarily discussed one-dimensional quantum mechanics up to this point, real-world quantum systems often exist in three dimensions. The principles of quantum mechanics can be extended to describe the behavior of particles in three-dimensional space, leading to a richer understanding of physical systems and enabling the…
-
Chapter 17: Introduction to Quantum Mechanics
17.1 Quantum Mechanics Overview Quantum mechanics is the branch of physics that deals with the behavior of particles at the atomic and subatomic levels. It emerged in the early 20th century as a response to the limitations of classical mechanics and electromagnetism, which failed to describe the observed behavior of particles at the microscopic scale.…
-
Chapter 14: Electron Waves
14.1 Introduction to Electron Waves In the early 20th century, it was discovered that not only light exhibits both wave-like and particle-like properties, but also matter, such as electrons, shows dual behavior. This chapter will explore the concept of electron waves and their importance in understanding the quantum nature of particles. 14.2 de Broglie Hypothesis…
-
Quantum Mechanics
Introduction Quantum Mechanics is the branch of physics that describes the behavior of matter and energy at the smallest scales, such as atoms and subatomic particles. It is one of the fundamental theories of physics, alongside General Relativity, and has been remarkably successful in predicting experimental results. Wave-Particle Duality One of the cornerstone concepts in…