Integral[Psi Q Psi*, {x,-infty, infty}] (in Mathematica notation), where Q is your operator.
Eigenspace
The expectation value of an operator in the harmonic oscillator can be calculated by using the wave functions (eigenfunctions) of the harmonic oscillator and the corresponding eigenvalues (energies). The expectation value of an operator A is given by the integral of the product of the wave function and the operator applied to the wave function, squared, integrated over all space.
In signals eigen values and eigen vectors are used in finding directions.... Signals are based on eigen vectors
when an operator operate on a function and same function is reproduced with some numerical value then the function is called eigenfunction and the numerical value is called eigen value.
Eigenvalues and eigenfunctions are fundamental concepts in linear algebra and functional analysis. An eigenfunction of a linear operator is a non-zero function that, when the operator is applied to it, results in a scalar multiple of itself, where the scalar is called the eigenvalue. Mathematically, this is expressed as ( L(f) = \lambda f ), where ( L ) is the linear operator, ( f ) is the eigenfunction, and ( \lambda ) is the eigenvalue. These concepts are crucial in various applications, including stability analysis, quantum mechanics, and vibration analysis.
Peter Eigen was born in 1938.
Eigen Wereld was created in 2006.
Eigen-ji was created in 1361.
Frauke Eigen was born in 1969.
Manfred Eigen was born on May 9, 1927.
Manfred Eigen was born on May 9, 1927.
Jeff Eigen is 5' 2 1/2".