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Hypothesis about quantum and statistical mechanics
The eigenstate thermalization hypothesis (ETH) is a set of ideas which purports to explain when and why an isolated quantum mechanical system can be accurately
Eigenstate thermalization hypothesis
Eigenstate_thermalization_hypothesis
Argentine-Italian statistical physicist (born 1959)
Maimbourg and F. Zamponi) The "full" Eigenstate Thermalization Hypothesis (with L. Foini) Eigenstate Thermalization Hypothesis and Free Probability (with L.
Jorge_Kurchan
Tendency of bodies towards thermal equilibrium
In physics, thermalisation (or thermalization) is the process of physical bodies reaching thermal equilibrium through mutual interaction. In general, the
Thermalisation
Concept in quantum mechanics
pumping Adiabatic quantum motor Born–Oppenheimer approximation Eigenstate thermalization hypothesis Adiabatic process Born, M. and Fock, V. A. (1928). "Beweis
Adiabatic_theorem
Study of the relations between thermodynamics and quantum mechanics
assumption underlies, for example, the derivation of thermal state forms, the Eigenstate Thermalization Hypothesis, and transport coefficients. However, key quantum
Quantum_thermodynamics
Phenomenon of isolated many-body quantum systems not reaching thermal equilibrium
to thermal equilibrium (thermalization). The process of thermalization erases local memory of the initial conditions. In textbooks, thermalization is
Many-body_localization
Topics referred to by the same term
eth-, a chemical prefix eth., an abbreviation for ether Eigenstate thermalization hypothesis Electric train heating ETH, the identifier for the cryptocurrency
Eth_(disambiguation)
Indian professor (born 1970)
these driven systems and possible routes to violation of Eigenstate Thermalization Hypothesis (ETH) in them.[citation needed] He is a Fellow of Indian
Krishnendu_Sengupta
Description of physical properties at the atomic and subatomic scale
which case it is called an eigenstate, and the associated eigenvalue corresponds to the value of the observable in that eigenstate. More generally, a quantum
Quantum_mechanics
Quantum mechanical waves describing matter
electrons also have wave-like properties. His thesis started from the hypothesis, "that to each portion of energy with a proper mass m0 one may associate
Matter_wave
Phenomenon in thermal physics
the eigenstate thermalization hypothesis (ETH) implies that local observables (such as order parameters) computed in individual eigenstates agree with those
Localization-protected quantum order
Localization-protected_quantum_order
universal random matrix theory eigenvalue statistics. Eigenstate thermalization hypothesis Ergodic hypothesis Quantum chaos Scar (physics) Shnirelman theorem
Quantum_ergodicity
Physical law for entropy and heat
will stay in the same energy eigenstate and thus change its energy according to the change in energy of the energy eigenstate it is in. The generalized force
Second_law_of_thermodynamics
Elementary particle with extremely low mass
created in a specific flavor eigenstate is in an associated specific quantum superposition of all three mass eigenstates. The three masses differ so little
Neutrino
Claim that human mathematicians are not describable as formal proof systems
an observable is measured—the system appears to collapse to a random eigenstate of that observable from a classical vantage point. If collapse is truly
Penrose–Lucas_argument
Function describing an electron in an atom
definitely be 1. Eigenstates make it easier to deal with the math. You can choose a different basis of eigenstates by superimposing eigenstates from any other
Atomic_orbital
Measure of a system's order
(non-symmetrized) quantum time correlation function by expanding the trace to the eigenstates, C A B ( t ) = 1 Q ( N , V , T ) ∑ j , k e β E j e i ( E k − E j ) t
Correlation function (statistical mechanics)
Correlation_function_(statistical_mechanics)
Hypothetical particle that interacts only via gravity
Majorana neutrino cannot be an eigenstate of C. The generalized definition is: "a Majorana neutrino field is an eigenstate of the CP transformation". Consequently
Sterile_neutrino
Theory of a quantum origin of consciousness
an observable is measured—the system appears to collapse to a random eigenstate of that observable from a classical vantage point. If collapse is truly
Orchestrated objective reduction
Orchestrated_objective_reduction
Property of a thermodynamic system
is not required if the system is in thermal equilibrium so long as the basis states are chosen to be eigenstates of the Hamiltonian. For most practical
Entropy
Sub-field of quantum physics and optics
a discrete energy spectrum, with the transitions between the energy eigenstates being driven by the absorption or emission of light according to Einstein's
Quantum_optics
Hypothetical invisible cosmic material
Hypothetical counterpart to ordinary matter Neutralino – Neutral mass eigenstate formed from superpartners of gauge and Higgs bosons Scalar field dark
Dark_matter
Molecule composed of any two atoms
the electronic quantum states of a diatomic molecule, which are also eigenstates of the electronic molecular Hamiltonian. It is also convenient, and common
Diatomic_molecule
Hypothetical particles that may constitute dark matter
fermion – Fermion that is its own antiparticle Neutralino – Neutral mass eigenstate formed from superpartners of gauge and Higgs bosons Planck-mass-sized
Weakly interacting massive particle
Weakly_interacting_massive_particle
Symmetry between bosons and fermions
introductory theorem shows that for every eigenstate of one Hamiltonian, its partner Hamiltonian has a corresponding eigenstate with the same energy. This fact
Supersymmetry
Law of physics and chemistry
below or above the expectation value, if the system was not in an energy eigenstate. (For macroscopic systems, this effect is usually too small to measure
Conservation_of_energy
Graph representation in quantum mechanics
Huse, D. A. (1993). "Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic S=1 Heisenberg chain". Physical Review B. 48
Tensor_network
Formulation of classical mechanics in terms of Hilbert spaces
takes the form of a superposition of eigenstates, and measurement collapses the classical wavefunction to the eigenstate which is associated the measurement
Koopman–von Neumann classical mechanics
Koopman–von_Neumann_classical_mechanics
Theoretical framework detailing the sun's structure, composition and energetics
neutrinos from their pure flavour state into the second neutrino mass eigenstate as they passed through a resonance due to the changing density of the
Standard_solar_model
Ensemble of states with an exactly specified total energy
less than E. In quantum mechanics v(E) is roughly the number of energy eigenstates with energy less than E; however this must be smoothed so that we can
Microcanonical_ensemble
Interpretation of quantum mechanics
based on what it says about particular situations usually involving eigenstates of an operator. For example, the ground state of hydrogen is a real wavefunction
De_Broglie–Bohm_theory
Spanish theoretical physicist, author, and academic
Restricted Class of Exact Eigenstates of the Pairing-Force Hamiltonian". Richardson, R. W.; Sherman, N. (March 1, 1964). "Exact eigenstates of the pairing-force
Germán_Sierra
Lowest possible energy of a quantum system or field
same way as ordinary electrical oscillations do. They can change the eigenstate of the electron, but only in a transition to a state with the lowest energy
Zero-point_energy
Thought experiment in statistical physics
quantum treatment would yield a discrete non-degenerate set of energy eigenstates. An exact specification of the energy would then fix the precise state
Gibbs_paradox
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EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
EIGENSTATE THERMALIZATION-HYPOTHESIS
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