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Ansatz in condensed matter physics
In condensed matter physics, the Laughlin wavefunction is an ansatz, proposed by Robert Laughlin for the ground state of a two-dimensional electron gas
Laughlin_wavefunction
American physicist
quantum Hall effect. In 1983, Laughlin was first to provide a many body wave function, now known as the Laughlin wavefunction, for the fractional quantum
Robert_B._Laughlin
Topics referred to by the same term
the 2000 movie X-Men Laughlin wavefunction, an ansatz for the ground state of a two-dimensional electron gas (physics) Homer Laughlin China Company Lachlan
Laughlin
Electromagnetic effect in physics
understanding of quantum phases and quantum phase transitions. Hall probe Laughlin wavefunction Macroscopic quantum phenomena Quantum anomalous Hall effect Quantum
Fractional quantum Hall effect
Fractional_quantum_Hall_effect
Quantization of cyclotron orbits
large degeneracy of each level renders the resistivity quantized. Laughlin wavefunction Landau, L. (1930). "Diamagnetismus der Metalle" [Diamagnetism of
Landau_levels
Branch of physics
states and formulated a variational method solution, named the Laughlin wavefunction. The study of topological properties of the fractional Hall effect
Condensed_matter_physics
Matrix of geometric progressions
quantum Hall effect, the Vandermonde determinant shows that the Laughlin wavefunction with filling factor 1 is equal to a Slater determinant. This is
Vandermonde_matrix
Topological bound state of an electron
etc. For ν ∗ = 1 {\displaystyle \nu ^{*}=1} they reduce to the Laughlin wavefunction at fillings ν = 1 / ( 2 p + 1 ) {\displaystyle \nu =1/(2p+1)} .
Composite_fermion
Physical interaction in post-classical physics
The Laughlin wavefunction is an ansatz for the quasiparticle wavefunction. If the expectation value of the interaction energy is taken over a Laughlin wavefunction
Static forces and virtual-particle exchange
Static_forces_and_virtual-particle_exchange
Solution method for linear differential equations
barriers through which the wavefunction is not expected to grow to high magnitudes. By the requirement of continuity of wavefunction and its derivatives, the
WKB_approximation
State of matter
state, at which microscopic quantum-mechanical phenomena, particularly wavefunction interference, become apparent macroscopically. More generally, condensation
Bose–Einstein_condensate
automaton Lattice gauge theory Lattice model (physics) Lattice QCD Laughlin wavefunction Laura Bassi Laurence E. Peterson Laurent Freidel Lauro Moscardini
Index_of_physics_articles_(L)
Type of two-dimensional quasiparticle
particles twice cannot change their wavefunction, leaving us with only two possibilities: bosons, whose wavefunction remains the same even after a single
Anyon
Theorem in quantum mechanics
are particles whose wavefunction is symmetric under such an exchange or permutation, so if we swap the particles, the wavefunction does not change. Fermions
Spin–statistics_theorem
Phenomenon in quantum mechanics
Hall conductance was discovered in 1980, related to the electron charge. Laughlin proposed a fluid of fractional charges in 1983, to explain the fractional
Fractionalization
quantum mechanics, especially for his statistical interpretation of the wavefunction." Walther Bothe West Germany "For the coincidence method and his discoveries
List of Nobel laureates in Physics
List_of_Nobel_laureates_in_Physics
Phase of matter
specific partitioning ("valence bond liquid"). This kind of ground state wavefunction was proposed by P. W. Anderson in 1973 as the ground state of spin liquids
Quantum_spin_liquid
Science concerned with physical bodies subjected to forces or displacements
mechanics: Schrödinger wave mechanics: used to describe the movements of the wavefunction of a single particle. Matrix mechanics is an alternative formulation
Mechanics
Electromagnetic effect in physics
^{2}}{2m^{*}L^{2}}}} , n z = 1 , 2 , 3... {\displaystyle n_{z}=1,2,3...} and the wavefunctions are sinusoidal. For the x {\displaystyle x} and y {\displaystyle y}
Quantum_Hall_effect
Quasiparticle which is a bound state of an electron and an electron hole
Wannier-Mott excitons are considered as hydrogen-like quasiparticles. The wavefunction of the bound state then is said to be hydrogenic, resulting in a series
Exciton
Moldovan-American theoretical physicist
OSTI 4719250. Hansen, Jørgen E.; Laughlin, Cecil; Hart, Hugo W. van der; Verbockhaven, Gilles (1999). "Energy levels, wavefunction compositions and electric
Isaac_B._Bersuker
Concept on molecular modeling
the first. Other methods uses population based analysis schemes of wavefunctions like the Mulliken or Löwdin population analysis. Another method to derive
Force_field_(chemistry)
approximation, which allows the quick approximation of the energy and wavefunctions of smaller molecules. Pauli models the paramagnetic contribution of
Timeline of condensed matter physics
Timeline_of_condensed_matter_physics
LAUGHLIN WAVEFUNCTION
LAUGHLIN WAVEFUNCTION
Boy/Male
British, English
From the Hill-town
Girl/Female
Indian
Pretty or beautiful or laughing
Boy/Male
Arabic, Muslim, Pashtun
Laughing
Boy/Male
Hindu, Indian, Telugu
Famous; Always Laughing
Boy/Male
Tamil
Laughing smileing
Girl/Female
Australian, Portuguese
Laughing Water
Girl/Female
Afghan, African, Arabic, German, Hindu, Indian, Kannada, Marathi, Muslim, Sindhi, Tamil
Beautiful; Laughing; Pretty; Powerful
Boy/Male
Hindu, Indian, Marathi
Laughing Smiling
Boy/Male
Hindu
Laughing smileing
Boy/Male
Irish
Servant.
Boy/Male
Muslim
Laughing
Boy/Male
Australian, Celtic, Irish
Servant
Boy/Male
Australian, Irish, Scandinavian
Excellent; Strength; Vigour
Surname or Lastname
English
English : habitational name from any of the numerous places in England so called. Most of them, as for example those in Leicestershire, Lincolnshire (near Gainsborough), Sussex, and West Yorkshire, are named with Old English lēac ‘leek’ + tūn ‘enclosure’. The compound was also used in the extended sense of a herb garden and later of a kitchen garden. Laughton near Folkingham in Lincolnshire, however, was probably named as loc-tūn ‘enclosed farm’ (see Lock 2).English : variant spelling of Lawton.
Girl/Female
Tamil
Lasritha | லாஸà¯à®°à¯€à®¤à®¾Â
Always laughing
Lasritha | லாஸà¯à®°à¯€à®¤à®¾Â
Boy/Male
Arabic, Muslim
Laughing; Smiling
Male
Scottish
Variant spelling of Scottish Gaelic Lachlan, LAUCHLAN means "lake-land."
Girl/Female
Hindu, Indian, Traditional
Always Laughing
Girl/Female
Hindu, Indian
Always Laughing
Boy/Male
Native American
laughing boy.
LAUGHLIN WAVEFUNCTION
LAUGHLIN WAVEFUNCTION
Girl/Female
Spanish
Bitter; Woman from Magdala.
Boy/Male
Hindu, Indian
A Light
Boy/Male
French, German, Latin, Swedish
Oarsman
Girl/Female
Indian
Sweet
Boy/Male
Arabic, Muslim
Pleasure of the Beneficent
Girl/Female
Hindu, Indian
Goddess Sarasvati
Boy/Male
Hindu, Indian
Wish
Boy/Male
Tamil
Little red talker
Girl/Female
Indian
Inlet, Bay, Gulf
Girl/Female
Indian, Tamil
Devine
LAUGHLIN WAVEFUNCTION
LAUGHLIN WAVEFUNCTION
LAUGHLIN WAVEFUNCTION
LAUGHLIN WAVEFUNCTION
LAUGHLIN WAVEFUNCTION
a.
Laughing.
a.
Pertaining to laughter; used in laughing.
n.
An object of sport or laughter; a laughingstock; a laughing matter.
a.
Laughing; laughable; exciting gayety; gay; merry; delightful to the view, as a landscape.
a.
Having the faculty or power of laughing; disposed to laugh.
p. pr. & vb. n.
of Laugh
n.
The European black-headed, or laughing, gull (Xema ridibundus). See under Laughing.
n.
An expression of mirth peculiar to the human species; the sound heard in laughing; laughter. See Laugh, v. i.
n.
The laughing falcon. See under laughing.
n.
The act of laughing at another; derision.
v. t.
To laugh (one) out of a purpose, principle, etc.; to discourage or discomfit by laughing; to laugh down.
n.
An object of derision or scorn; a laughing-stock.
n.
The European green woodpecker (Picus, / Genius, viridis). It is noted for its loud laughlike note. Called also eccle, hewhole, highhoe, laughing bird, popinjay, rain bird, yaffil, yaffler, yaffingale, yappingale, yackel, and woodhack.
n.
The laughing gull.
n.
That which intoxicates; an intoxicating agent; as, alcohol, opium, and laughing gas are intoxicants.
v. t.
To surpass or outdo in laughing.
a. & n.
from Laugh, v. i.
a.
Not laughing; without laughter.
n.
Laughing gas.