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Posted by SourceCodeOf_HumanGenome on 2010/6/23 9:48:28 (115 reads)
New Idea

I should check if ∫dt ln ψ(χ(t),t) is an action when ψ is a solution of the existing Schrodinger equation at the limit h→0.

If so, exp of an action multiplied by α is a solution of the new grammar version of Schrodinger equation at the limit α→∞.

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Posted by SourceCodeOf_HumanGenome on 2010/6/23 8:36:56 (109 reads)
New Idea

The new grammar version of quantum mechanics should become the existing quantum mechanics at the limit α→∞.

However the new grammar version of quantum mechanics includes α only through the factor h/α, and so we can not distinguish the limit α→∞ from the limit h→0.

I will check if Φ defined as Φ[χ]=exp[α∫dt ψ(χ(t),t)] is a solution of the new grammar version of Schrodinger equation at the limit α→∞, where ψ is a solution of the existing Schrodinger equation at the limit h→0.

Fortunately, the ordinary Schrodinger equation has a certain form at the limit h→0.

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Posted by wooder on 2010/6/21 16:15:36 (114 reads)
New Idea

Yesterday, I thought that an action functional may be a solution of the new grammar version of Schrodinger equation in the limit α→∞ because an action functional does not include α.

Today, I tried to prove it and failed.
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Last edited at 2010/06/21/16:28JST

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Posted by SourceCodeOf_HumanGenome on 2010/5/10 14:47:21 (215 reads)
Report

Yesterday, I seemed to succeed in solving an equation used to solve the new grammar version of Schrodinger equation by using fourier expansion and polar coordinates in momentum space.

Equation:

Solution:

where f is an arbitrary function.
I am not confident of if this is correct because I have not yet checked this solution well.
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Last edited at 2010/05/11/15:32JST

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Posted by SourceCodeOf_HumanGenome on 2010/5/2 10:58:44 (73 reads)
New Idea

We might be able to prove that there must be some physical law in any world by contradiction.

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Last edited at 2010/05/03/10:30JST

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