In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves...

function theorem. The number B is called the Bloch's constant. The lower bound 1/72 in Bloch's theorem is not the best possible. Bloch's theorem tells us...

special case of electron waves in a periodic crystal lattice using Bloch's theorem as treated generally in the dynamical theory of diffraction. Every...

periodic potential. The solutions in this case are known as Bloch states. Since Bloch's theorem applies only to periodic potentials, and since unceasing...

Picard's theorem.) His proof of this theorem contained gaps (which he recognized), and later the theorem was known as "Bloch's conjecture". Bloch's conjecture...

principle, Picard's theorem corresponds to Schottky's theorem, and Valiron's theorem corresponds to Bloch's theorem. Based on his Principle, Bloch was able to...

stems from the description of waves in a periodic medium given by Bloch's theorem, in which it is found that the solutions can be completely characterized...

such as crystals in condensed matter physics, the result is known as Bloch's theorem. Note that the solutions of the linear differential equation form a...

the potential is a periodic function with a period a. According to Bloch's theorem, the wavefunction solution of the Schrödinger equation when the potential...

periodic function, with the same periodicity as the crystal lattice. Bloch's theorem proves that the solutions to this differential equation can be written...

a simple kinetic-plus-potential form.: 134  These conditions imply Bloch's theorem, which states ψ n ( x ) = e i k ⋅ x u n k ( x ) , u n k ( x + a ) =...

{k} \cdot \mathbf {R} }\psi (\mathbf {r} )} This result is known as Bloch's Theorem. In the passive transformation picture, translational invariance requires...

a solid need not be carried out with full rigor as in the original Bloch's theorem but, rather, first-principles calculations are carried out only at...

Felix Bloch (/blɒk/; German: [blɔx] ; 23 October 1905 – 10 September 1983) was a Swiss-American theoretical physicist who shared the 1952 Nobel Prize...

quantum-mechanical justification was given a year later (1928) by Bloch's theorem: an unbound electron moves in a periodic potential as a free electron...

physics, Nanoscale and mesoscopic physics, Polymer physics BCS theory, Bloch's theorem, Density functional theory, Fermi gas, Fermi liquid theory, Many-body...

Arakelyan's theorem (complex analysis) Area theorem (conformal mapping) (complex analysis) Beurling–Lax theorem (Hardy spaces) Bloch's theorem (complex analysis)...

coordinates (the Born–Oppenheimer approximation). The code also makes use of Bloch's Theorem which means a wavefunction of a periodic system has a cell-periodic...

which the effect had first been observed. Anderson impurity model Bloch's theorem Electronic band structure Solid-state physics Bose–Hubbard model t-J...

independent electron approximation is still in effect. As shown by Bloch's theorem, introducing a periodic potential into the Schrödinger equation results...

for a tsunami Tollmien–Schlichting wave, in fluid dynamics Wind wave Bloch's theorem Matter wave Pilot wave theory, in Bohmian mechanics Wave function Wave...

necessarily true. A further generalization appears in the context of Bloch's theorems and Floquet theory, which govern the solution of various periodic differential...

physics, Nanoscale and mesoscopic physics, Polymer physics BCS theory, Bloch's theorem, Density functional theory, Fermi gas, Fermi liquid theory, Many-body...

periodicity of the crystalline potential allows the application of the Bloch theorem, which states that the Hamiltonian eigenstates take the form ψ n k (...

André Bloch, French mathematician, Bloch space, Bloch's theorem (complex variables) Felix Bloch, Swiss-American physician – Bloch wall, Bloch sphere...

via that envelope wave, usually using the "physics definition". See Bloch's theorem for further details. A moving wave surface in special relativity may...

topological materials WannierBerri - a python code for Wannier interpolation and tight-binding calculations Bloch's theorem Hannay angle Geometric phase...

Schrödinger equation is often written for functions of momentum, as Bloch's theorem ensures the periodic crystal lattice potential couples Ψ ~ ( p ) {\displaystyle...

+b|B\rangle } (where A and B are the internal degrees of freedom). Due to Bloch's theorem, this basis block-diagonalizes the Hamiltonian. One such block, h k...

In quantum mechanics and computing, the Bloch sphere is a geometrical representation of the pure state space of a two-level quantum mechanical system...