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TeX (original user input):

 X_{nm}(t) = e^{2\pi i(E_n - E_m)t/h} X_{nm}(0)

TeX (checked):

X_{nm}(t)=e^{2\pi i(E_{n}-E_{m})t/h}X_{nm}(0)

LaTeXML (experimental; uses MathML) rendering

MathML (8.141 KB / 1.271 KB) :

X n m ( t ) = e 2 π i ( E n - E m ) t / h X n m ( 0 ) subscript 𝑋 𝑛 𝑚 𝑡 superscript 𝑒 2 𝜋 𝑖 subscript 𝐸 𝑛 subscript 𝐸 𝑚 𝑡 subscript 𝑋 𝑛 𝑚 0 {\displaystyle X_{{nm}}(t)=e^{{2\pi i(E_{n}-E_{m})t/h}}X_{{nm}}(0)}
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SVG (13.755 KB / 4.569 KB) :

upper X Subscript n times m Baseline times left-parenthesis t right-parenthesis equals e Superscript 2 times pi times i times left-parenthesis upper E Super Subscript n Superscript minus upper E Super Subscript m Superscript right-parenthesis times t slash h Baseline times upper X Subscript n times m Baseline times left-parenthesis 0 right-parenthesis

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: X[n*m]*(t)= (e)^(2*pi*i*(E[n]- E[m])* t/ h)* X[n*m]*(0)

Information about the conversion process:

\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.

But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!

Use the DLMF-Macro \cpi to translate \pi as a constant.


e: You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Maple uses exp(1) for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \expe


i: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Maple uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit



Translation to Mathematica

In Mathematica: Subscript[X, n*m]*(t)= (e)^(2*\[Pi]*i*(Subscript[E, n]- Subscript[E, m])* t/ h)* Subscript[X, n*m]*(0)

Information about the conversion process:

\pi: Could be the ratio of a circle's circumference to its diameter == Archimedes' constant.

But it is also a Greek letter. Be aware, that this program translated the letter as a normal Greek letter and not as a constant!

Use the DLMF-Macro \cpi to translate \pi as a constant.


e: You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Mathematica uses E for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \expe


i: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Mathematica uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit



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