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eigenstate
This term is used exclusively within the specialized register of quantum mechanics and linear algebra. It describes a state of a system that remains unchanged in its nature after a specific operation, except for a scaling factor. In practical terms, it represents a state of maximum certainty for a given measurement.
Because it is a technical term of art, it is rarely found outside of scientific papers, textbooks, or academic discussions. It is often paired with the term eigenvalue to describe the specific measurement result associated with that state.
Ý nghĩa
A quantum state that is an eigenvector of a given observable operator.
Ví dụ
Wait, does the particle collapse into a specific eigenstate upon measurement?
The wave function is a linear combination of several eigenstates.
I need to determine if this state is an eigenstate of the Hamiltonian.
An observable has a set of orthonormal eigenstates.
An observable has a set of orthonormal eigenstates.
If the system is in an eigenstate, the measurement result is certain.
The electron transitioned from one eigenstate to another.
Is it possible for the system to remain in its ground eigenstate?