Search references for BLOCH FUNCTION. Phrases containing BLOCH FUNCTION
See searches and references containing BLOCH FUNCTION!BLOCH FUNCTION
Fundamental theorem in condensed matter physics
periodic functions. The theorem is named after the Swiss physicist Felix Bloch, who discovered the theorem in 1929. Mathematically, they are written Bloch function
Bloch's_theorem
Topics referred to by the same term
In mathematics, Bloch function may refer to: Named after Swiss physicist Felix Bloch a periodic function which appears in the solution of the Schrödinger
Bloch_function
Space of holomorphic functions on the open unit disk in the complex plane
the Bloch space, named after French mathematician André Bloch and denoted B {\displaystyle {\mathcal {B}}} or ℬ, is the space of holomorphic functions f
Bloch_space
Subfield of number theory
Number Conjecture (PDF) Kings, Guido (2003), "The Bloch–Kato conjecture on special values of L-functions. A survey of known results", Journal de théorie
Special_values_of_L-functions
Route Bloch, at CERN (Meyrin site) Bloch Auditorium, Hewlett Teaching Center room 201, Stanford University Bloch Beamline at MAX IV Laboratory Bloch Fellowship
List of things named after Felix Bloch
List_of_things_named_after_Felix_Bloch
American fiction writer (1917–1994)
Robert Albert Bloch (/blɒk/; April 5, 1917 – September 23, 1994) was an American fiction writer, primarily of crime, psychological horror, and fantasy
Robert_Bloch
Model of electronic band structures of solids
model in a hybrid NFE-TB model. Bloch functions describe the electronic states in a periodic crystal lattice. Bloch functions can be represented as a Fourier
Tight_binding
Mathematical theorem
complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower
Bloch's theorem (complex analysis)
Bloch's_theorem_(complex_analysis)
Describes the range of energies of an electron within the solid
mathematically by the Bloch's theorem, which states that the eigenstate wavefunctions have the form Ψn,𝐤(𝐫)=ei𝐤⋅𝐫un(𝐫) where the Bloch function un(𝐫) is periodic
Electronic_band_structure
_{0}^{z}{\log(1-t) \over t}\,\mathrm {d} t.} The Bloch–Wigner function is related to dilogarithm function by D 2 ( z ) = Im ( Li 2 ( z ) ) + arg
Bloch_group
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
French mathematician (1893–1948)
of Bloch's functions which form the so-called Bloch space. (This usage should not be confused with Bloch's functions of Swiss physicist Felix Bloch.) Bloch
André_Bloch_(mathematician)
Physical function
{R} ):=\phi _{\mathbf {R} }(\mathbf {r} )} The Bloch functions can be written in terms of Wannier functions as follows: ψ k ( r ) = 1 N ∑ R e i k ⋅ R ϕ R
Wannier_function
Equations describing nuclear magnetic resonance
(ESR), the Bloch equations are a set of macroscopic equations that are used to calculate the nuclear magnetization M = (Mx, My, Mz) as a function of time
Bloch_equations
Function with a repeating pattern
number (the Bloch wavevector or Floquet exponent). Functions of this form are sometimes called Bloch-periodic in this context. A periodic function is the special
Periodic_function
Quantized magnetization of charged particles
the orbital magnetization in terms of the occupied single-particle Bloch functions |ψn k⟩ of band n and crystal momentum k: M o r b = − e 2 m e ∑ n ∫
Orbital_magnetization
American mathematician
and Galois cohomology in 1986 and the Bloch–Kato conjectures for special values of L-functions in 1990. Bloch is a member of the U.S. National Academy
Spencer_Bloch
Bloch's principle is a philosophical principle in mathematics stated by André Bloch. Bloch states the principle in Latin as: Nihil est in infinito quod
Bloch's_principle
Behaviour of metals at low temperatures
In solid-state physics, the Bloch–Grüneisen law or the Bloch's T5 law describes the temperature dependence of electrical resistivity in metals due to the
Bloch–Grüneisen_law
Capability of some programming languages
kotlinlang.org. Bloch 2018, p. 238-244, §Chapter 8 Item 52: Eliminate unchecked warnings. "Nim Manual". nim-lang.org. "37.6. Function Overloading". PostgreSQL
Function_overloading
Simplified model in condensed matter physics
to hybridize, and the eigenstates of such a crystalline system are Bloch's functions, with the energy levels divided into separated energy bands. The width
Hubbard_model
Smooth curve outlining the extremes of an oscillating signal
trapped near an impurity is governed by an envelope function F that governs a superposition of Bloch functions: ψ ( r ) = ∑ k F ( k ) e i k ⋅ r u k ( r )
Envelope_(waves)
Swiss neuroscientist
Jocelyne Bloch (born 1968) is a Swiss neuroscientist and a neurosurgeon at Lausanne University Hospital and at EPFL (École Polytechnique Fédérale de Lausanne)
Jocelyne_Bloch
Physical model for semiconductors
These Bloch functions can be pictured as periodic repetition of atomic orbitals, repeated at intervals corresponding to the lattice spacing. The Bloch function
Luttinger–Kohn_model
Measure of a substance's ability to resist or conduct electric current
power law function of temperature. Mathematically the temperature dependence of the resistivity ρ of a metal can be approximated through the Bloch–Grüneisen
Electrical resistivity and conductivity
Electrical_resistivity_and_conductivity
Phenomenon from solid state physics
Bloch oscillation is a phenomenon from solid state physics. It describes the oscillation of a particle (e.g. an electron) confined in a periodic potential
Bloch_oscillation
Special case of the polylogarithm
} The function D(z) is sometimes called the Bloch-Wigner function. Lobachevsky's function and Clausen's function are closely related functions. William
Dilogarithm
Moving charge energy loss formula found by Hans Bethe
expression which is often called Bethe-Bloch formula. But since we have now accurate tables of I as a function of Z (see below), the use of such a table
Bethe_formula
Periodic structure of layers of two or more materials
where mw is the effective mass of the quantum well. By definition the Bloch functions are delocalized over the whole superlattice. This may provide difficulties
Superlattice
Theorem relating Milnor K-theory and Galois cohomology
Spencer Bloch and Kazuya Kato and became known as the Bloch–Kato conjecture or the motivic Bloch–Kato conjecture to distinguish it from the Bloch–Kato conjecture
Norm residue isomorphism theorem
Norm_residue_isomorphism_theorem
Change in optical absorption by a semiconductor when an electric field is applied
2m}+V(\mathbf {r} )+{e \over m}\mathbf {A} \cdot \mathbf {p} } Then using the Bloch function | j k ⟩ = e i k ⋅ r u j k ( r ) {\displaystyle |jk\rangle =e^{\mathrm
Franz–Keldysh_effect
Concept in quantum mechanics
H=-{\frac {d^{2}}{dx^{2}}}+U_{\alpha },} where Uα is a periodic function of period α. The Bloch spectrum of H is defined as the set of values E for which all
Bloch_spectrum
Effect in quantum electronics
periodic Bloch function for the energy band edge in the bulk semiconductor and ϕ n ( z ) {\displaystyle \phi _{n}(z)} is a slowly varying envelope function for
Quantum-confined_Stark_effect
computed results can be viewed and analyzed. One can for example plot Bloch functions of nanotubes and crystals, molecular orbitals, electron densities,
Atomistix_Virtual_NanoLab
Benjamin Marcus Bloch (Hebrew: בנימין מרכוס בלוך; April 1, 1900 – April 26, 1959) was an Israeli physicist, known mainly for his work at the Weizmann
Benjamin_M._Bloch
Model of a quantum/optical system
The Maxwell–Bloch equations, also called the optical Bloch equations describe the dynamics of a two-state quantum system interacting with the electromagnetic
Maxwell–Bloch_equations
Optical filter
the solution. The band diagram is essentially a plot of k as a function of k0. The Bloch wave expansions in equations (1.2.1) are nothing more than exponential
Frequency_selective_surface
Probability distribution
distribution (after Hendrik Lorentz), Cauchy–Lorentz distribution, Lorentz(ian) function, or Breit–Wigner distribution. The Cauchy distribution f ( x ; x 0 , γ
Cauchy_distribution
Swedish mathematician
arXiv:1303.0720. doi:10.1016/j.jfa.2014.09.002. Hedenmalm, Håkan (2017). "Bloch functions and asymptotic tail variance". Advances in Mathematics. 313: 947–990
Hakan_Hedenmalm
Equivalence of partially ordered sets
field of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism for partially ordered
Order_isomorphism
Interface between magnetic domains
in one domain to that in the next, named after the physicist Felix Bloch. In a Bloch domain wall, the magnetization rotates about the normal of the domain
Domain_wall_(magnetism)
Aspect of theoretical physics
geometric properties of quantum states as functions of external parameters—most commonly the crystal momentum of Bloch-band eigenstates in a periodic solid
Quantum geometry (condensed matter)
Quantum_geometry_(condensed_matter)
Approximation to shape of a point cloud
surface from the electronic Bloch spectral function evaluated at the Fermi level, as obtained from the Green's function in a generalised ab-initio study
Alpha_shape
German politician and diplomat (1893–1946)
354. Bloch, p. 346. Bloch, p. 380. Bloch, pp. 350–351. Bloch, p. 351. Bloch, pp. 353–354. Bloch, p. 356. Bloch, pp. 356–357. Weitz, p. 291. Bloch, p. 397
Joachim_von_Ribbentrop
American artist
Mark Bloch (born 1956) is an American conceptual artist, mail artist, performance artist, visual artist, archivist and writer whose work combines visuals
Mark_Bloch_(artist)
Electronic states at the surface of materials
wave function and its derivatives are applied. Since the potential is periodic deep inside the crystal, the electronic wave functions must be Bloch waves
Surface_states
Muse of erotic and lyric poetry in Greek mythology
second half or "Iliadic" section of the poem. Muses in popular culture Bloch, para. 1. Apollonius Rhodius, Argonautica 3.1–5 Cartwright, Mark (24 June
Erato
Decomposition of periodic functions
as Bloch state. In order to develop f ( r ) {\displaystyle f(\mathbf {r} )} in a Fourier series, it is convenient to introduce an auxiliary function g
Fourier_series
French Resistance (1905–1999)
Jean Pierre-Bloch (born Jean-Pierre Bloch; 14 April 1905 – 17 March 1999) was a French Resistant of the Second World War as an activist, being a former
Jean_Pierre-Bloch
Class of functions behaving "like" periodic functions
Weierstrass sigma function, which is quasiperiodic in two independent quasiperiods, the periods of the corresponding Weierstrass ℘ function. Bloch's theorem says
Quasiperiodic_function
Quantum-mechanical vector property in solid-state physics
cannot be derived using Noether's theorem. The phase modulation of the Bloch state ψ n ( x ) = e i k ⋅ x u n k ( x ) {\displaystyle \psi _{n}({\mathbf
Crystal_momentum
Historical autism classification
Sukhodolsky DG, Bloch MH, Panza KE, Reichow B (November 2013). "Cognitive-behavioral therapy for anxiety in children with high-functioning autism: a meta-analysis"
High-functioning_autism
Concept in condensed matter physics
to Bloch wave functions—that is, by adding two Bloch wave functions with slightly different momenta. The time evolution of a Bloch wave function is given
Anomalous_velocity
Class of jawless fish
Lampetra pacifica Vladykov 1973 (Pacific brook lamprey) Lampetra planeri (Bloch 1784) (European brook lamprey) Lampetra richardsoni Vladykov & Follett 1965
Lamprey
a list of things named after Hungarian physicist E. P. Wigner. Bloch–Wigner function Breit–Wigner distribution (disambiguation) Relativistic Breit–Wigner
List of things named after Eugene Wigner
List_of_things_named_after_Eugene_Wigner
Describe the optical response of semiconductors
The semiconductor Bloch equations (abbreviated as SBEs) describe the optical response of semiconductors excited by coherent classical light sources, such
Semiconductor_Bloch_equations
Classic entropy of a quantum-mechanical density matrix
proved Wehrl's conjecture for Bloch coherent states by generalizing it in the following manner. For any concave function f : [ 0 , 1 ] → R {\displaystyle
Wehrl_entropy
Programming paradigm based on applying and composing functions
are constructed by applying and composing functions. It is a declarative programming paradigm in which function definitions are trees of expressions that
Functional_programming
Roman god of freshwater and the sea
and his followers Bloch and Schilling centre their interpretation of Neptune on the direct, concrete, limited value and functions of water. Salacia would
Neptune_(mythology)
Function that is tied to a particular instance or class
International Series in Computer Science. pp. 52–54. ISBN 0-13-629049-3. Bloch, Joshua (2018). "Effective Java: Programming Language Guide" (third ed.)
Method_(computer_programming)
Model of the extended complex plane plus a point at infinity
rational function on the complex plane can be extended to a holomorphic function on the Riemann sphere, with the poles of the rational function mapping
Riemann_sphere
German Chilean research psychologist
Susana Bloch Arendt (born 1931) is a German Chilean research psychologist whose focus is in neurophysiology and psychophysiology. She is known for creating
Susana_Bloch
{\displaystyle 0} What is the exact value of Landau's constants, including Bloch's constant? Regularity of solutions of Euler equations[citation needed] Convergence
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Area of mathematics
growth of a meromorphic function. Other main contributors in the first half of the 20th century were Lars Ahlfors, André Bloch, Henri Cartan, Edward Collingwood
Nevanlinna_theory
German teacher and politician (1890–1973)
book dealer Ludwig Bloch (1859–1939); his younger brother was the later district mayor of Berlin-Steglitz Peter Bloch. Werner Bloch graduated from the
Werner_Bloch
7th episode of the 1st season of Star Trek: The Original Series
American science fiction television series, Star Trek. Written by Robert Bloch and directed by James Goldstone, it first aired on October 20, 1966. In
What Are Little Girls Made Of?
What_Are_Little_Girls_Made_Of?
Swiss chemist (1919–2012)
spaced atoms Peierls considered first order perturbation theory with Bloch functions showing the instability, but he did not consider the self-consistency
Hans_Kuhn_(chemist)
Short story by Jorge Luis Borges
Library of Babel (2008) by William Goldbloom Bloch explores the short story from a mathematical perspective. Bloch analyzes the hypothetical library presented
The_Library_of_Babel
President of the United States (2017–2021; since 2025)
Violence". The New York Times. Retrieved January 20, 2025. Nacos, Shapiro & Bloch-Elkon 2020. Piazza & Van Doren 2022. Baker, Peter (December 1, 2022). "Trump
Donald_Trump
Mathematical entity to describe the probability of each possible measurement on a system
Gelfand–Naimark–Segal construction for more details. Atomic electron transition Bloch sphere Greenberger–Horne–Zeilinger state Ground state Introduction to quantum
Quantum_state
Single large version-control repository for many projects
Lines of Code—And It's All in One Place". WIRED. Retrieved 20 July 2018. Bloch, Dan. "Still All on One Server: Perforce at Scale" (PDF). Retrieved 23 July
Monorepo
Sterol biosynthesized by all animal cells
lanosterol is converted to cholesterol via either of two pathways, the Bloch pathway, or the Kandutsch-Russell pathway. The final 19 steps to cholesterol
Cholesterol
Shared fictional universe based on the work of H. P. Lovecraft
contemporary writers including Clark Ashton Smith, Robert E. Howard, Robert Bloch, Frank Belknap Long, Henry Kuttner, Henry S. Whitehead, and Fritz Leiber—a
Cthulhu_Mythos
Mental disorder
distress caused by the obsession, to the extent where it impairs general function. OCD has been described since antiquity and has affected numerous notable
Obsessive–compulsive_disorder
Simple quantum mechanical system
viewed as the precession of the state vector on the Bloch sphere. The representation on the Bloch sphere for a state vector ψ ( 0 ) {\displaystyle \psi
Two-state_quantum_system
Models used to describe the behavior of metal alloys
eigenstates are the Bloch functions Ψk with energies ek. When the periodicity of the pure metal is destroyed by alloying, these Bloch states are no longer
Rigid-band_model
Description of a quantum-mechanical system
solid-state physics, the Schrödinger equation is often written for functions of momentum, as Bloch's theorem ensures the periodic crystal lattice potential couples
Schrödinger_equation
Type of knot
and functions best when the object is fairly large compared to the diameter of the rope. Knot expert Geoffrey Budworth credits the knot to Amory Bloch Lovins
Vibration-proof_hitch
Soviet-Israeli-American mathematician
Korenblum, B. (1985). "BMO estimates and radial growth of Bloch functions". Bull. Amer. Math. Soc. (N.S.). 12: 99–102. doi:10.1090/S0273-0979-1985-15302-9
Boris_Korenblum
Fundamental mechanical principles
start with an energy function called a Lagrangian describing the physical system. The accumulated value of this energy function between two states of
Action_principles
Joseph (Josef) Samuel Bloch (20 November 1850 in Dukla – 1923) was an Austrian rabbi and deputy of Polish descent. Bloch's parents, who were poor, destined
Joseph_Samuel_Bloch
National mausoleum in Paris
February 2024. "Marc Bloch". www.liberationroute.com. Retrieved 2026-01-08. Histories, Medieval (2024-11-26). "The Remains of Marc Bloch to be moved to the
Panthéon
Connection between computers or programs
Digital Computer contains the first published API specification. Joshua Bloch considers that Wilkes and Wheeler "latently invented" the API, because it
API
Programming language concept
types. On the other hand, "function from Animal to String" is a subtype of "function from Cat to String" because the function type constructor is contravariant
Type_variance
Large-scale brain network active when not focusing on an external task
; Scott, J. Cobb; Averill, Lynnette A.; Schweinsburg, Brian; Alexander-Bloch, Aaron; Martini, Brenda; Southwick, Steven M.; Krystal, John H.; Abdallah
Default_mode_network
Mammalian structure involved in higher-order brain functions
layers of the mammalian cerebral cortex involved in higher-order brain functions such as sensory perception, cognition, generation of motor commands, spatial
Neocortex
Famous open problem in mathematics
Retrieved 5 May 2019. Kings, Guido (2003). "The Bloch–Kato conjecture on special values of L-functions. A survey of known results". Journal de théorie
Birch and Swinnerton-Dyer conjecture
Birch_and_Swinnerton-Dyer_conjecture
pp. 20, 21. Caldwell, p. 43. Bloch 2004c, para. 1; Simon 1986, p. 700. Simon 1986, p. 700. Bloch 2004c, para. 1. Bloch 2004d, para. 1. Waser 1905, para
List_of_Greek_deities
Programming paradigm based on objects
paradigm based on objects – software entities that encapsulate data and function(s).[clarification needed] An OOP computer program consists of objects that
Object-oriented_programming
Proof in set theory
archived from the original (PDF) on 21 January 2022, retrieved 6 December 2013 Bloch, Ethan D. (2011). The Real Numbers and Real Analysis. New York: Springer
Cantor's_diagonal_argument
Art or other objects that appeal to popular rather than high art tastes
Theodor Adorno, Ferdinand Avenarius, Edward Koelwel, Walter Benjamin, Ernst Bloch, Hermann Broch, Richard Egenter, etc.). "Kitsch" Archived 3 November 2012
Kitsch
German physicist (1901–1976)
from the acclaim that many later earned. They included Erich Bagge, Felix Bloch, Ugo Fano, Siegfried Flügge, William Vermillion Houston, Friedrich Hund
Werner_Heisenberg
Application of homotopy to algebraic varieties
of the derived category of mixed motives and the proof of the Milnor and Bloch-Kato conjectures. It has also recently[when?] revolutionized the theory
A¹_homotopy_theory
Extinct species of mammal
simpsoni is specially adapted to eating fruit, seeds, and invertebrates. Bloch, Jonathan I.; Boyer, Doug M. (2002-11-22). "Grasping Primate Origins". Science
Carpolestes_simpsoni
than he thought. 3 3 "Happy Birthdays" Philip Charles MacKenzie Lawrence Bloch April 10, 2002 (2002-04-10) 175102 9.33 Much to George's unpleasant surprise
List_of_George_Lopez_episodes
Largest known protein in human muscles
is encoded by the TTN gene. The protein, which is over 1 μm in length, functions as a molecular spring that is responsible for the passive elasticity of
Titin
Fundamental principle of physics
B) produces response (X + Y). A function F(x) that satisfies the superposition principle is called a linear function. Superposition can be defined by
Superposition_principle
Basic circuit in quantum computing
Z equate, respectively, to a rotation around the x, y and z axes of the Bloch sphere by π {\displaystyle \pi } radians. The Pauli-X gate is the quantum
Quantum_logic_gate
Roman dialogue written in Ancient Greek
appreciation of Lucian than Bloch's generation". Like Bloch, Jope also performs an analysis of the vocabulary of the text, but contra Bloch, he shows that the
Amores_(Lucian)
Nazi Party's original paramilitary wing
McNab 2013, pp. 20, 21. McNab 2009, p. 22. Bloch 1992, p. 330. Jacobsen 1999, p. 62. Bloch 1992, p. 356. Bloch 1992, p. 411. McNab 2013, p. 21. Garscha
Sturmabteilung
travel, tourism, insurance
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
BLOCH FUNCTION
travel, tourism, insurance