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Does this Mathematical Phenomena resemble Quantum Phenomena?
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Does this Mathematical Phenomena resemble Quantum Phenomena?
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John Henke
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Does this Mathematical Phenomena resemble Quantum Phenomena?
«
on:
19/10/2020 12:05:21 »
I've discovered a mathematical phenomena similar to Euler's identity yet quite different in structure. Just as physicists have used the mathematical phenomena of Euler's identity to try to describe quantum phenomena, so too have I done with this phenomena. My only goal with this first post is to introduce the mathematical phenomena. From there, I'd like to slowly build into my models of the eigenfunctions, of particles in an infinite well, Dirac's, etc.
Example 1
[i+i/(n-j
_{i}
)]
^{(n-ji)}
In the attached graph of this equation, the blue part is the real part and the gold part is the imaginary part, this forms a wave pattern with an amplitude of e and has inputs of j
_{i}
. The value n is an exceedingly high unknown constant. Its exact value doesn't matter as long as it's very high. The exact value only matters in cases where there must be extreme precision.
Example 2
This complicates the pattern seen in example 1 slightly by subtracting from equation 1 a copy of itself that has a j value with the opposite sign:
[[i+i/(n-j
_{i}
)]
^{(n-ji)}
]-[[i+i/(n+j
_{i}
)]
^{(n+ji)}
]
As you can see in the attached picture the graph of this resembles an x eigenfunction. The left side gets slightly higher with higher inputs of j
_{i}
while the right side gets slightly smaller, leaving an eigenvalue that is higher for higher inputs of j
_{i}
.
«
Last Edit: 20/10/2020 04:34:11 by
John Henke
»
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talanum1
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Re: Does this Mathematical Phenomena resemble Quantum Phenomena?
«
Reply #1 on:
27/11/2020 16:15:13 »
What are the inputs j_i equal to? Don't bother I see it is your variable.
What was n equal to in the figures?
«
Last Edit: 27/11/2020 16:36:04 by
talanum1
»
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quantum mechanics
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wavefunction
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