A Can Equilibrium State Determine Complex Potential?

binbagsss
Messages
1,291
Reaction score
12
I have an observable denoted by C, related to a complex potential B by :

## C= \bar{B}B ,##

where ##B## is a complex potential. I know that ## \left. C \right|_0 =C_0 ##, a known constant, where the evaluation at ##_0## denotes an equilibrium \ reference state. From this, I can not make any conclusions on ## \left. B \right|_0##, or ## \left. \bar{B} \right|_0## can I ?

Thanks.
 
Last edited by a moderator:
Mathematics news on Phys.org
binbagsss said:
I have an observable denoted by C, related to a complex potential B by :

## C= \bar{B}B ,##

where ##B## is a complex potential. I know that ## \left. C \right|_0 =C_0 ##, a known constant, where the evaluation at ##_0## denotes an equilibrium \ reference state. From this, I can not make any conclusions on ## \left. B \right|_0##, or ## \left. \bar{B} \right|_0## can I ?

Thanks.
You forgot to use '##'. It is always a good practice to preview Latex to make sure it is doing what you want.
 
FactChecker said:
You forgot to use '##'. It is always a good practice to preview Latex to make sure it is doing what you want.
i didn't, it just created it on a new line and i didnt want that.
 
In your first post, I see a lot of single '#'s. Those should all be double '##'.
 
i thought double creates a new line. anyway, it wont let me edit it now.
 
(LaTex fixed)
 
  • Like
Likes jim mcnamara and FactChecker
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top