eigenstate's Usage Examples:

The eigenstate thermalization hypothesis (or ETH) is a set of ideas which purports to explain when and why an isolated quantum mechanical system can be.

wave function—initially in a superposition of several eigenstates—reduces to a single eigenstate due to interaction with the external world.

different eigenstates does in general have quantum uncertainty for the given observable.

We can represent this linear combination of eigenstates as: | Ψ.

It is also called energy eigenvector, energy eigenstate, energy eigenfunction, or energy eigenket.

Notation: | x ⟩ {\displaystyle |x\rangle } - position eigenstate | α ⟩ , | β ⟩ , | γ ⟩ .

it is natural and intuitive to think of every object being in its own eigenstate.

for every energy eigenstate of a time-reversal symmetric system with half-integer total spin, there is at least one more eigenstate with the same energy.

was stated as follows: A physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is.

postulate, each measurement causes the wavefunction to collapse to an eigenstate of the measurement basis.

are emitted and absorbed in weak processes in flavor eigenstates but travel as mass eigenstates.

Copenhagen interpretation) jumps to one of the eigenstates, returning the eigenvalue belonging to that eigenstate.

Hamiltonian for the system having more than one linearly independent eigenstate with the same energy eigenvalue.

observables cannot be precisely measured simultaneously, as an eigenstate in one basis is not an eigenstate in the other basis.

"first-kind" projective measurements in which the particle is in the measured eigenstate immediately after the measurement, the subsequent free evolution of the.

is in a particular eigenstate Ψ of that observable.

However, the particular eigenstate of the observable A need not be an eigenstate of another observable.

α ⟩ {\displaystyle |\alpha \rangle } is a coherent state, which is an eigenstate of the annihilation (lowering) operator.

past, in the lower energy eigenstate, we wish to calculate the probability of finding the system in the upper energy eigenstate in the infinite future (a.

The eigenstate thermalization hypothesis is a hypothesis about when quantum states will.

Light excites an X (which is not a true eigenstate of the system) which can then coherently convert to multi-X and back to.