Search
- Filter Results
- Location
- Classification
- Include attachments
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/zz%3A_Back_Matter/10%3A_13.1%3A_Appendix_J-_Physics_Formulas_(Wevers)/1.15%3A_Quantum_Field_Theory_and_Particle_PhysicsQuantum field theory, field quantization, Klein Gordon equation, standard model
- https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Introduction_to_Applied_Nuclear_Physics_(Cappellaro)/02%3A_Introduction_to_Quantum_Mechanics/2.02%3A_States_Observables_and_EigenvaluesThe eigenvalue problem consists in finding the functions such that when the operator A is applied to them, the result is the function itself multiplied by a scalar. (Notice that we indicate the action...The eigenvalue problem consists in finding the functions such that when the operator A is applied to them, the result is the function itself multiplied by a scalar. (Notice that we indicate the action of an operator on a function by A[f(⋅)]).
- https://phys.libretexts.org/Learning_Objects/A_Physics_Formulary/Physics/15%3A_Quantum_Field_Theory_and_Particle_PhysicsQuantum field theory, field quantization, Klein Gordon equation, standard model
- https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Essential_Graduate_Physics_-_Quantum_Mechanics_(Likharev)/09%3A_Elements_of_Relativistic_Quantum_Mechanics/9.05%3A_The_Klien-Gordon_and_Relativistic_Schrodinger_EquationsOf more formal properties of Eq. (84), it is easy to prove that its solutions satisfy the same continuity equation (1.52), with the probability current density j still given by Eq. (1.47)...Of more formal properties of Eq. (84), it is easy to prove that its solutions satisfy the same continuity equation (1.52), with the probability current density j still given by Eq. (1.47), but a different expression for the probability density w - which becomes very similar to that for j : \[w=\frac{i \hbar}{2 m c^{2}}\left(\Psi^{*} \frac{\partial \Psi}{\partial t}-\text { c.c. }\right), \quad \mathbf{j}=\frac{i \hbar}{2 m}\left(\Psi \nabla \Psi^{*}-\text { c.c. }\…
- https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Nuclear_and_Particle_Physics_(Walet)/05%3A_Basic_Concepts_of_Theoretical_Particle_Physics/5.01%3A_The_Di%EF%AC%80erence_Between_Relativistic_and_Non-Relativistic_Quantum_MechanicsOne of the key points in particles physics is that special relativity plays a key rôle. As you all know, in ordinary quantum mechanics we ignore relativity. Of course people attempted to generate equa...One of the key points in particles physics is that special relativity plays a key rôle. As you all know, in ordinary quantum mechanics we ignore relativity. Of course people attempted to generate equations for relativistic theories soon after Schrödinger wrote down his equation. There are two such equations, one called the Klein-Gordon and the other one called the Dirac equation.
- https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Quantum_Mechanics_III_(Chong)/05%3A_Quantum_Electrodynamics/5.02%3A_Dirac's_Theory_of_the_ElectronSo far, we have been using p²/2m -type Hamiltonians, which are limited to describing non-relativistic particles. In 1928, Paul Dirac formulated a Hamiltonian that can describe electrons moving close ...So far, we have been using p²/2m -type Hamiltonians, which are limited to describing non-relativistic particles. In 1928, Paul Dirac formulated a Hamiltonian that can describe electrons moving close to the speed of light, thus successfully combining quantum theory with special relativity. Another triumph of Dirac’s theory is that it accurately predicts the magnetic moment of the electron.
