What is the definition (not on the basis of energy level) of scattering state?
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quantum system. A quantum state provides a probability distribution for the value of each observable, i.e. for the outcome of each possible measurementon the system. Knowledge of the quantum state together with the rules[clarification needed] for the system's evolution in time exhausts all that can be predicted about the system's behavior.
A mixture of quantum states is again a quantum state. Quantum states that cannot be written as a mixture of other states are called pure quantum states, all other states are called mixed quantum states.
Mathematically, a pure quantum statecan be represented by a ray in a Hilbert space over the complex numbers.[1] The ray is a set of nonzero vectors differing by just a complex scalar factor; any of them can be chosen as a state vector to represent the ray and thus the state. A unit vector is usually picked, but its phase factor can be chosen freely anyway. Nevertheless, such factors are important when state vectors are added together to form a superposition.
Hilbert space is a generalization of the ordinary Euclidean space[2]:93–96 and it contains all possible pure quantum states of the given system[citation needed]. If this Hilbert space, by choice of representation (essentially a choice of basis corresponding to a complete set of observables), is exhibited as a function space (a Hilbert space
A mixture of quantum states is again a quantum state. Quantum states that cannot be written as a mixture of other states are called pure quantum states, all other states are called mixed quantum states.
Mathematically, a pure quantum statecan be represented by a ray in a Hilbert space over the complex numbers.[1] The ray is a set of nonzero vectors differing by just a complex scalar factor; any of them can be chosen as a state vector to represent the ray and thus the state. A unit vector is usually picked, but its phase factor can be chosen freely anyway. Nevertheless, such factors are important when state vectors are added together to form a superposition.
Hilbert space is a generalization of the ordinary Euclidean space[2]:93–96 and it contains all possible pure quantum states of the given system[citation needed]. If this Hilbert space, by choice of representation (essentially a choice of basis corresponding to a complete set of observables), is exhibited as a function space (a Hilbert space
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