Press quanta mechanical for, a person hits a wall, much big probability can wear the past?

This question is very interesting, it is preliminary study quanta is mechanical li of Xue Dinge equation when, the commonnest example on the book and one of exercises.

Have quanta Sui to wear effect to microcosmic particle, but also have such probability by corporeal wave theory to macroscopical object, but very little.

Study university physics can appear such exercises, for instance computational car enters the probability of the sitting room, the person wears the probability of the wall.

This is the particle with the simplest application of Xue Dinge equation, the penetrable problem of square power base, if consider the channel effect of square power base, OK and simple model is following graphs.

In the subject, square power base is

1. classic case

When E of incident particle energy under V0 when, according to classical and mechanical viewpoint, particle cannot enter power base, will all by resilient.

2. quanta circumstance

But, quanta is mechanical the conclusion that will give out to differ right-down. We decide voice Xue to decide straightforward advice equation to set out from one dimension:

Divide an area to seek solution next.

Inside the area in square power base (X1<X<x2) , v=V0>E,

Its solve is exponential function:

This shows, do not be in the wave function of area Ⅲ 0; There is the possibility that enters Ⅲ through area Ⅱ in the particle of area Ⅰ formerly, see a picture

From go up the wave function that be linked together of picture power base crosses Cheng, can calculate give penetrable odds to be:

This shows, power base ply (D=x2-x1) bigger, the odds that particle passes is smaller; The energy E of particle is bigger, penetrable odds is bigger also. Both shows exponential concern, accordingly, the change of D and E is very acute to penetrable factor P.

You can take all sorts of passing through the data of particle takes the place of, for instance the person wears a wall, take all sorts of parameter, if take quality M=100kg of the person, after the parameter such as wall thick 0.2m takes the place of,

Penetrate be less than far after odds computation

If change the power base that into an electron and a prep above it has energy, so it is OK that the electron has very big odds perforative this power base, this is the physical principle of scanning channel microscope.

For physical major the student is calculated and basically computation of effect of familiar quanta channel uses the exercise in school work here.

From above so computation sees, quanta is mechanical and main to microcosmic particle its action, to macroscopical object, quanta is mechanical be without an influence almost.

The quanta that discusses macroscopical object is mechanical effect, also be the sense is not great.