Search for "Schrödinger equation" in article titles:

1. Schrödinger equation: The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. (Linear partial differential equation whose solution describes the quantum-mechanical system) [100%] 2021-12-22 [Schrödinger equation] [Differential equations]...
2. Schrödinger equation: The Schrödinger equation is one of the fundamental equations of quantum mechanics and describes the spatial and temporal behavior of quantum-mechanical systems. Austrian physicist Erwin Schrödinger first proposed the equation in early 1926. [100%] 2023-06-17
3. Schrödinger equation: A fundamental equation in quantum mechanics that determines, together with corresponding additional conditions, a wave function $ \psi(t,\mathbf{q}) $ characterizing the state of a quantum system. For a non-relativistic system of spin-less particles, it was formulated by ... (Mathematics) [100%] 2023-10-17
4. Fractional Schrödinger equation: The fractional Schrödinger equation is a fundamental equation of fractional quantum mechanics. It was discovered by Nick Laskin (1999) as a result of extending the Feynman path integral, from the Brownian-like to Lévy-like quantum mechanical paths. (Physics) [81%] 2022-08-08 [Equations of physics] [Fractals]...
5. Logarithmic Schrödinger equation: In theoretical physics, the logarithmic Schrödinger equation (sometimes abbreviated as LNSE or LogSE) is one of the nonlinear modifications of Schrödinger's equation. It is a classical wave equation with applications to extensions of quantum mechanics, quantum optics, nuclear physics ... [81%] 2024-04-07 [Theoretical physics] [Schrödinger equation]...
6. Nonlinear Schrödinger equation: In theoretical physics, the (one-dimensional) nonlinear Schrödinger equation (NLSE) is a nonlinear variation of the Schrödinger equation. It is a classical field equation whose principal applications are to the propagation of light in nonlinear optical fibers and planar waveguides ... (Nonlinear form of the Schrödinger equation) [81%] 2024-08-20 [Partial differential equations] [Exactly solvable models]...
7. Solution of Schrödinger equation for a step potential: In quantum mechanics and scattering theory, the one-dimensional step potential is an idealized system used to model incident, reflected and transmitted matter waves. The problem consists of solving the time-independent Schrödinger equation for a particle with a step ... [50%] 2022-09-17 [Quantum mechanical potentials] [Schrödinger equation]...
8. Theoretical and experimental justification for the Schrödinger equation: The theoretical and experimental justification for the Schrödinger equation motivates the discovery of the Schrödinger equation, the equation that describes the dynamics of nonrelativistic particles. The motivation uses photons, which are relativistic particles with dynamics described by Maxwell's equations ... (Justifications of the equation in physics) [50%] 2023-07-17 [Partial differential equations] [Schrödinger equation]...
9. Solution of Schrödinger equation for a step potential: In quantum mechanics and scattering theory, the one-dimensional step potential is an idealized system used to model incident, reflected and transmitted matter waves. The problem consists of solving the time-independent Schrödinger equation for a particle with a step ... (Physics) [50%] 2023-06-24 [Quantum mechanics] [Schrödinger equation]...
10. Normalized solutions (nonlinear Schrödinger equation): In mathematics, a normalized solution to an ordinary or partial differential equation is a solution with prescribed norm, that is, a solution which satisfies a condition like ∫ R N | u ( x ) | 2 d x = 1. {\displaystyle \int _{\mathbb {R ... (Nonlinear Schrödinger equation) [63%] 2024-08-18 [Quantum mechanics] [Partial differential equations]...