- #1
aveline de grandpre
- 10
- 1
what does it mean that a particle is a pure eigenstate?
could someone explain this to me simply ?
could someone explain this to me simply ?
aveline de grandpre said:what does it mean that a particle is a pure eigenstate?
could someone explain this to me simply ?
A pure eigenstate is a quantum state that has a definite value for a particular observable, such as position or momentum. It is an eigenvector of the corresponding operator, meaning that when the operator acts on the state, the resulting state is a scalar multiple of the original state.
A pure eigenstate is a quantum state that is in a single, definite state, while a mixed state is a combination of two or more pure states with different probabilities. A pure eigenstate has a probability of 1 for a particular outcome when measured, while a mixed state has probabilities for multiple outcomes.
No, not all quantum states are pure eigenstates. A pure eigenstate is a special case where the state is in a single, definite state. Most quantum states are mixed states, which are combinations of pure eigenstates.
In general, a pure eigenstate will not change over time. This is because the state is in a definite state and will remain in that state unless acted upon by an external force or measurement. However, in some cases, such as in the presence of a time-varying potential, a pure eigenstate can evolve into a different state.
Pure eigenstates are used in quantum mechanics to describe the state of a quantum system at a particular time. They are also used to calculate the probabilities of measuring different outcomes when the system is measured. Pure eigenstates are an important concept in understanding the behavior of quantum systems and are essential in many quantum algorithms and applications.