Timeline for Use of termination in solving quantum harmonic oscillator, hydrogen atom etc
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Apr 22, 2015 at 6:49 | history | edited | Qmechanic♦ |
diff eq tag is overused
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Apr 22, 2015 at 6:33 | vote | accept | Mir | ||
Apr 22, 2015 at 4:47 | answer | added | Abhijit | timeline score: 1 | |
Apr 22, 2015 at 4:31 | comment | added | Surgical Commander | It might depend on the asymptotics. For example, $\sin(x)$ is a function that is bounded by $\pm 1$. It also has an infinite power series expansion in odd powers of $x$, $\sin(x) \sim x - x^3/3 + ...$. Imagine if you cut off the series past some number of terms, say $N$. Then for large $x$ you'd have $\sin(x) \sim x^{2N-1}$ which diverges. In this example the termination is artificial, but if it occurred as a solution, it might rule out a solution as being unphysical as a result of the asymptotic behaviour. | |
Apr 22, 2015 at 3:25 | comment | added | DanielSank | I think I understand what you're asking, but an example would help. | |
Apr 22, 2015 at 3:24 | history | edited | DanielSank | CC BY-SA 3.0 |
punctuation
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Apr 22, 2015 at 3:14 | history | asked | Mir | CC BY-SA 3.0 |