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The constant multiplicative factor in a wavefunction is chosen to make sure the probability integrates to 100%.

The 1D PIB wavefunctions are mutually orthogonal, meaning that the overlap integral for every pair of them is zero.

We're not quite finished with the 3D particle-in-a-box wavefunctions until we know the normalization constant.

The wavelike properties of a quantum mechanical system are described by a function named (naturally enough) the wavefunction.

The three quantum numbers for an electron in an H atom (or a hydrogen-like ion) determine its characteristics, including its size, ...

So let's find out what they are when a and B are through normalization so to normalize will say here's our integral 0 to infinity 0 to ...

The harmonic oscillator wavefunctions are an orthonormal set.

The simplest case for which we can solve the Schrödinger Equation is the free particle: a particle that feels no potential energy ...

... let's apply our normalization condition and solve for B which is the constant in front of the solution of our wave function so again ...

The quantum mechanical state of a system can be described completely by its wavefunction.

For a system with wavefunction ψ, the expectation value for property A with operator  is given by the integral ∫ψ*  ψ.

A Gaussian wavefunction solves the harmonic oscillator Schrödinger equation. Confirming this solution provides the details of the ...

The first video of a series showing how the Schrödinger equation can be derived from classical physics using a as few ad-hoc ...

Today we'll look at how probability impacts the way we calculate properties of a system like an atom or molecule. That'll lead us to ...

Kelsey does a Quantum Physics problem involving normalizing a wave function, finds its expected value, and calculating its ...

Real-world chemical systems exist in three dimensions, not one. So the 3D particle-in-a--box model is much more useful than the ...

An unnormalized wave function for a One Dimensional Particle in a Box Model was found. In this video, the normalization constant ...

The 1D particle-in-a-box model describes a particle confined to move along a line. When the particle is instead confined to a circle ...

The H atom wavefunctions with quantum number l=0 are called s orbitals. Electrons in these wavefunctions are spherically ...