Definition, Betydelse & Synonymer | Engelska ordet EIGENSTATE

Definition av EIGENSTATE

1. (fysik) egentillstånd

Exempel på hur man kan använda EIGENSTATE i en mening

• In a quantum system at the n-th eigenstate, an adiabatic evolution of the Hamiltonian sees the system remain in the n-th eigenstate of the Hamiltonian, while also obtaining a phase factor.
• The Canon has Nick steal and apply the eigenstate mod to himself, which he uses for various purposes before eventually meeting with a strangely coherent Laura after bypassing otherwise impregnable security with the mod.
• Since the size of the renormalized Hamiltonian is usually in the order of a few or tens of thousand while the sought eigenstate is just the ground state, the ground state for the superblock is obtained via iterative algorithm such as the Lanczos algorithm of matrix diagonalization.
• Using perturbation theory to first order, the energy of the nth eigenstate is related to the expectation value of the potential:.
• According to the reduction postulate, each measurement causes the wavefunction to collapse to an eigenstate of the measurement basis.
• So, for an adiabatic process, a system starting from nth eigenstate also remains in that nth eigenstate like it does for the time-independent processes, only picking up a couple of phase factors.
• Since molecule is in eigenstate of , expectation value of components perpendicular to the direction of z-axis (internuclear line) is zero.
• On a similar note, even though the photon is charged under the SU(2) weak symmetry (because it is the gauge boson associated with a linear combination of weak isospin and hypercharge), it is also moving through a condensate of such charges, and so, isn't an exact eigenstate of the weak charges and this theorem doesn't apply either.
• In quantum mechanics, the Kramers' degeneracy theorem states that for every energy eigenstate of a time-reversal symmetric system with half-integer total spin, there is another eigenstate with the same energy related by time-reversal.
• Light excites an X (which is not a true eigenstate of the system) which can then coherently convert to multi-X and back to X many times (quantum beats).
• The principal philosophy underlying the eigenstate thermalization hypothesis is that instead of explaining the ergodicity of a thermodynamic system through the mechanism of dynamical chaos, as is done in classical mechanics, one should instead examine the properties of matrix elements of observable quantities in individual energy eigenstates of the system.
• When considering eigenstate order in MBL systems, one generally speaks of highly excited eigenstates at energy densities that would correspond to high or infinite temperatures if the system were able to thermalize.
• Given a parametrized ansatz for the ground state eigenstate, with parameters that can be modified, one is sure to find the parametrized state that is closest to the ground state based on the variational method of quantum mechanics.

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