Relativistic Quantum Mechanics
By J. Polonyi, D. Gingrich. 2013
1,436 citations recorded by the source corpus.
Chapter summary 36 The aim of this chapter is to introduce a relativistic formalism which can be used to describe particles and their interactions. The emphasis is given to those elements of the formalism which can be carried on to Relativistic Quantum Fields (RQF), which underpins the theoretical framework of high energy particle physics. We begin with a brief summary of special relativity, concentrating on 4-vectors and spinors. One-particle states and their Lorentz transformations follow, leading to the Klein–Gordon and the Dirac equations for probability amplitudes; i.e. Relativistic Quantum Mechanics (RQM). Readers who want to get to RQM quickly, without studying its foundation in special relativity can skip the first sections and start reading from the section 1.3. Intrinsic problems of RQM are discussed and a region of applicability of RQM is defined. Free particle wave functions are constructed and particle interactions are described using their probability currents. A gauge symmetry is introduced to derive a particle interaction with a classical gauge field.
Subfields: Environmental Engineering, Inorganic Chemistry, Physical and Theoretical Chemistry
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Environmental Engineering
In Inorganic Chemistry
In Physical and Theoretical Chemistry
Citations in the corpus
- Understanding and mitigating gradient pathologies in physics-informed neural networks (2020, background): “in-Gordon equation. The Klein–Gordon equation is a non-linear equation, which plays a significant role in many scientific applications such as solid-state physics, nonlinear optics, and quantum physics [50]. The initial-boundary value problem in one spatial dimension takes the form utt+ uxx+ u+ uk= f(”
- The Klein–Gordon equation of generalized Hulthén potential in complex quantum mechanics (2002, methodology): “! = c The KG equation for the free particle is [ 23 ], in natural units 1 ,”