# [plt-scheme] Currying and physics

Yes, I did. I even called it P!
On Jan 2, 2009, at 1:16 AM, Jos Koot wrote:
>* You probably mean (linear) momentum. Position can be represented by
*>* an operator (function, functional) Ψ -> xΨ. The probability to find
*>* the particle at position x at time t is:
*>* integral over x of Ψ*(x,t) x Ψ(x,t) divided by
*>* the integral over x of Ψ*(x,t) Ψ(x,t),
*>* where Ψ* is the complex conjugate of Ψ.
*>* In this case momentum is represented by the function Ψ -> (iħ/2π)
*>* (δΨ/δx).
*>* You could have choosen Ψ(x)=1/(1+x^2) as a function with finite norm,
*>* or in three dimensions 1/(1+x^2+y^2+z^2)
*>* In practice wave functions are often represented by time independent
*>* vectors (called kets) in a Hilbert space.
*>* Which functions Ψ are to be included in this space is determined by
*>* the law of conservation of energy. In quantum mechanics this law
*>* says: HΨ=EΨ, where H is the so called Hamiltonian (an operator
*>* representing energy) and E a real number. The equation must be
*>* solved for both Ψ and E (and the solution usually consists of an
*>* infinite number of pairs Ψ and E) By using the symmetry properties
*>* of the system being studied, many parts of the integrals can be
*>* simplified to summations.
*>* Jos
*>*
*
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