What is a wave function in quantum mechanics?
Wave function, in quantum mechanics, variable quantity that mathematically describes the wave characteristics of a particle. The value of the wave function of a particle at a given point of space and time is related to the likelihood of the particle’s being there at the time.
Why must a wave function be continuous?
The reason most wave functions are continuous boils down to the idea that the Schrodinger equation (and, more fundamentally, the Dirac equation) should be able to describe the behaviour of a particle across all potentials, in any region.
Is wave function single valued?
The wave function must be single valued. This means that for any given values of x and t , Ψ(x,t) must have a unique value. This is a way of guaranteeing that there is only a single value for the probability of the system being in a given state.
Is wave function always continuous?
The wave function must be single valued and continuous. The probability of finding the particle at time t in an interval ∆x must be some number between 0 and 1. We must be able to normalize the wave function.
When the scattering power of the potential barrier is zero the electron is?
Q61 When the scattering power of the potential barrier is zero, then the electron is IS. Ops.
What does the wave function ΨΨ represent?
‘The wave function describes the position and state of the electron and its square gives the probability density of electrons.
Why do most alpha particles fired through a piece?
Why do most alpha particles fired through a piece of gold foil emerge almost undeflected? The massive alpha particles blast through the majority of the space in the gold that is occupied by low mass electrons. The mass of the atom is concentrated in a positively charged core.
Why doesn’t the repulsive electrical force of protons in the atomic nucleus cause the protons to fly apart?
Why doesn’t the repulsive electrical force of protons in the atomic nucleus cause the protons to fly apart? the presence of a strong attractive force between nucleons in the nucleus prevents protons from repelling out of the nucleus.
How does Schrodinger get his equation?
In their paper, the physicists developed a new way to obtain the Schrödinger equation starting from a mathematical identity using classical statistical mechanics based on the Hamilton-Jacobi equation. In quantum mechanics, both amplitude and phase depend on each other, and this makes the quantum wave equation linear.”