Bloch function
Encyclopedia
In mathematics
, Bloch function may refer to
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, Bloch function may refer to
- a periodic function which appears in the solution of the Schrödinger's equation with periodic potential; see Bloch waveBloch waveA Bloch wave or Bloch state, named after Felix Bloch, is the wavefunction of a particle placed in a periodic potential...
. - an analytic function in the unit disc which is an element of the Bloch spaceBloch spaceIn the mathematical field of complex analysis, the Bloch space, named after André Bloch and denoted , is the space of holomorphic functions f defined on the open unit disc D in the complex plane, such that the function...
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