*(Fig.1) Only classical model can give exact solution in multi-electrons*

Despite the media-*hype*, the present basic physics remains useless, a **waste** of money, pursuing unreal quasiparticle, parallel worlds in quantum "scam" computer.

The basic reason for "**deadend**" science is Schrodinger equation is useless, cannot solve multi-electron atoms. So all other applied science remains **useless**, forever.

Here we prove Schrodinger equation is pursuing "*illusory*" solutions in multi-electron atoms, and **only** classical model can have exact atomic solution (= model ).

*(Fig.2) Total energy E is "constant" and conserved in hydrogen*

One-electron hydrogen atoms is the only one Schrodinger equation can solve. Total energy **E** is the sum of electron's *kinetic* energy and **Coulomb** potential energy.

Of course, the total energy E must be conserved which means E is a "**constant**" (= NOT viriable ) value.

*(Fig.3) Kinetic energy term in Schrodinger equation = derivative*

To obtain "**constant**" total energy E, *variable* Coulomb energy terms must be **cancel**led out by kinetic energy terms.

In Schrodinger equation, electron's momentum (= kinetic ) term is expressed as "derivative" acting on wavefunction ψ

After this momentum operator acts on wavefunction, it gives "*variable*" kinetic energy terms which just **cancel** "variable" Coulomb energy terms.

As a result, the sum of kinetic energy and Coulomb energy terms gives "**constant**" total energy E.

*(Fig.4) Kinetic energy operator (= ∇ ) acts on wavefunction ψ*

In Schrodinger equation, electron's momentum (= kinetic energy ) is based on de Broglie waves which are expressed as "derivative".

Kinetic energy is the square of electron's momentum (= derivative ∇ ), so it is denoted by the second-derivative (= ∇^{2} ).

*(Fig.5) r _{12} = distance between two electrons 1, 2*

Schrodinger equation in multi-electron atoms includes Coulomb energy term **between** two electrons.

r_{1} ( or r_{2} ) means the distance between electron 1 ( or 2 ) and helium *nucleus*. r_{12} means the distance between two electrons.

If the exact helium solution existed, it must give "*constant*" total energy E in **any** electrons' positions. But **NO** helium solutions exist in Schrodinger equation.

*(Fig.6) There are NO solutions giving "constant" total energy E in helium*

Also in helium atom, **total** energy E must be *conserved* and **constant**. To do so, all three "variable" Coulomb energy terms must be just cancelled out by kinetic energy terms.

But we **cannot** find those exact Helium solutions (= ψ_{He} ) to meet this condition of "constant" total energy E in Schrodinger equation.

It means Schrodinger equation and quantum mechanics are **false**.

*(Fig.7) Total energy E must be "constant", even when only r _{12} changes.*

Helium atom cannot be solved exactly. Instead they often choose two hydrogen wavefunctions ( of electrons 1 and 2 ) as "approximate" helium wavefunction.

Different from classical model, the electron's wavefunction in Schrodinger equation always *spread* **all** over the space.

Here we fix two variables r_{1}, r_{2} (= distance between each electron and nucleus ), and change only the distance (= r_{12} ) between two electrons in helium wavefunction.

If this is the exact helium solution, all these cases (= changing interelectronic r_{12} ) in them must give the **common** *same* total energy E.

But it's **impossible** to find those exact helium solutions.

*(Fig.8) When only interelectronic r _{12} is changed ..*

When you change **only** *interelectronic* distance (= r_{12} ), **fixing** r_{1}, r_{2} in helium wavefunction, Only Coulomb energy (= 3rd term ) between two electrons changes.

To get the constant, common total energy E, this variable interelectronic Coulomb energy term must be **cancel**led by corresponding kinetic energy term.

Here we **change** only *interelectronic* distance (= r_{12} ).

It means corresponding kinetic energy term ( including only r_{12} ) must cancel **only** interelectronic Coulomb term **independently** from other terms including r_{1}, r_{2} !

Finding these solutions is absolutely **impossible**.

*(Fig.9) Each of three Coulomb energy terms is "independent" from each other ?*

Helium contains three Coulomb energy terms ( ① = between electron1 and nucleus, ② = between electron2 and nucleus, ③ = between two electrons ).

All these three Coulomb terms are **separated** *independently*.
So corresponding kinetic energy terms have to cancel each term independently.

For example, Coulomb energy between two electrons (= ③ ) must be cancelled by kinetic energy term including **only** variable r_{12} (= NOT including other r_{1}, r_{2} ).

In actual atoms, it's **impossible** to deal with only interelectronic Coulomb energy *independently* from other Coulomb energies such as between nucleus and electrons.

*(Fig.10) In multi-electron atoms, each energy term must be independent !?*

Here is the reason why Schrodinger equation in multi-electron is *unrealistic* and can **never** give exact solution.

"Exact" solution (= wavefunction ) must give "**constant**" total energy in **any** electron's positions and any interelectronic distances.

To do so, all three "**variable**" Coulomb energy terms must be cancelled by their corresponding kinetic energy terms completely.

But all these three Coulomb terms are separated and independent from each other, and each has a **different** variable in Helium Schrodinger 's equation.

It means corresponding kinetic energy and total energy (= E_{3} ) related only to interelectronic distance (= r_{12} ) must be independent from other energies !

If so, we can *pick out* only interelectronic Coulomb term from the whole atoms.
This is unrealistic and impossible.

*(Fig.11) In real atoms, r _{1}, r_{2} change as a function of r_{12} = NOT independent*

In actual multi-electron atoms, three Coulomb terms in Helium can **NOT** be independent from each other.

As shown in Fig.11, when two electrons come closer to each other (= r_{12} is shorter ), the distance between nucleus and each electron is longer (= r_{1}, r_{2} are longer ).

So each variable are **NOT** independent from each other, but a "function" of other variables. This is a realistic atomic model.

Schrodinger wavefunction spreading all space must cancel each Coulomb term independently, which is **unrealistic**, and the reason it has **NO** exact solution.

*(Fig.12) ↓ Unrealistic multi-electron Schrodinger equations*

Different from actual multi-electron atoms ( with electron's "orbit" ), Schrodinger's wavefunction always **spread** all over the space.

This property makes it **impossible** to solve Scchrodinger equation in multi-electron atoms.

To get the constant total energy E, each Coulomb energy term with different variable must be treated and cancelled **independently**.

It means in any atoms, only interelectronic Coulomb energy term can be picked up from other terms, and is given "*independent*" energy **irrelevant** to atomic kinds.

In actual atoms, interelectronic Coulomb energy changes "dependent" on other Coulomb terms (= electron-nucleus ) and atomic kinds.

This is the reason why Schrodinger equation is wrong, and cannot solve multi-electron atoms.

2016/8/26 updated. Feel free to link to this site.