Matrix mechanics - Wikipedia
Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925. It was the first conceptually autonomous and logically consistent formulation of quantum mechanics.
Heisenberg, with help from Max Born and Pascual Jordan, came up with a matrix theory, which supposedly explained the travels of the electron by a complex form of mathematics called matrices. There remained some problems, however.
A. The matrix formulation —Heisenberg– The matrix formulation of quantum mechanics, developed by Werner Heisenberg in June of 1925, was the first formu-lation to be uncovered. The wavefunction formulation, which enjoys wider currency today, was developed by Erwin Schro¨-dinger about six months later. In the matrix formulation each ...
In the matrix form, the equations are known as the Heisenberg equations, i∂ tx(t)ˆ = x(t),ˆ Eˆ ,i∂ tp(t)ˆ = p(t),ˆ Eˆ , (2.23) in which Eˆ is the diagonal matrix Emn = Emδmn. The next crucial step was the identification Eˆ =H x(t),ˆ p(t)ˆ. (2.24) Now the Heisenberg equations (2.23) take the form i∂ tx(t)ˆ = x(t),Hˆ x(t),ˆ p ...
A. The matrix formulation (Heisenberg) The matrix formulation of quantum mechanics, developed by Werner Heisenberg in June of 1925, was the first formu- lation to be uncovered. The wavefunction formulation, which enjoys wider currency today, was developed by Erwin SchrÖ- dinger about six months later. In the matrix formulation each mechanical ...
1.2: Matrix Mechanics - Chemistry LibreTexts
Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925. Matrix mechanics was the first conceptually autonomous and logically …
Nine formulations of quantum mechanics - Academia.edu
The matrix formulation of quantum mechanics, developed by Werner Heisenberg in June of 1925, was the first formulation to be uncovered. The wavefunction formulation, which enjoys wider currency today, was developed by Erwin Schrödinger about six months later.
Heisenberg’s matrix formulation of quantum mechanics can be generalized to rel-ativistic systems by evolving in light-front time ¿ = t + z=c: The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be obtained from matrix diagonalization of the light-front Hamiltonian on a finite
Heisenberg’s Matrix Mechanics - SpringerLink
The Heisenberg ‘matrix mechanics’ serves as a tool for extending the quantum selection rule to arbitrary quantum systems, independently of the periodicity of trajectories of the corresponding classical models. The stationary energies appear to be the eigenvalues of the matrix Hamiltonian.
Werner Heisenberg's 1925 paper "Uber quantentheoretische Um deutung kinematischer und mechanischer Beziehungen" is one of the pivotal papers in the development of modern physics. It is also one of the most perplexing. The novel formulas, which effectively initiated matrix mechanics, are simply presented as if they were intuitively obvious.