Information-Theory
Derivation of the Normal Gaussian distribution from physical principles – Maximum Entropy
Research Links
- The Maximum Entropy Principle – The distribution with the maximum entropy is the distribution nature chooses
- Maximum Entropy Distribution for Random Variable of Extent [0,Infinity] and a Mean Value Mu
- Quantum Harmonic Oscillator: Wavefunctions
- Hermite polynomials
In many physical systems the question arises what is the probability distribution that describes a system with a given expected energy E over the interval from -infinity to + infinity? Again you will use the maximum entropy principle to determine this.
The constraints are as follows: