Operatori Flashcards
What is the compact notation for an integral of an operator in Dirac notation?
he compact notation for an integral of an operator in Dirac notation is ∫Ψ*(m)αΨ(n)dτ = <m|α|n>.
What is an autovalue of an operator?
An autovalue of an operator is the constant by which an autofunction of the operator is multiplied.
What is the definition of a linear operator?
A linear operator is an operator that satisfies the property α(f(x) + g(x)) = αf(x) + αg(x) and αcf(x) = cαf(x).
What are the two important properties of Hermitian operators?
The two important properties of Hermitian operators are that their autovalues are real and their autofunctions can be chosen to be orthogonal.
What is an operator in quantum mechanics?
An operator is a rule that allows us to act on a function to obtain a new function.
What is the commutator of two operators?
The commutator of two operators is defined as [α, β] = αβ - βα.
What is the definition of a Hermitian operator?
A Hermitian operator is an operator that satisfies the property ∫Ψ(x)αΦ(x)dx = ∫Φ(x)αΨ*(x)dx.
What is an autofunction of an operator?
An autofunction of an operator is a function that, when operated on by the operator, results in the same function multiplied by a constant.
What is the parity operator?
The parity operator is an operator that acts on a function by changing the sign of all variables.
What are the eigenvalues of the parity operator?
The eigenvalues of the parity operator are ±1.
What is the commutation relation between the parity operator and the Hamiltonian?
The eigenfunctions of the Hamiltonian will be either even or odd.
