Physics Derivation Graph / navigation Sign in

Return to navigation page or return to list of expressions

Derivations that use this expression:

LHS AST from SymPy:
 RHS AST from SymPy:

Symbols in Expression \(v=\frac{e^2}{4 \pi \epsilon_0 \hbar} \sqrt{\frac{m_e}{2 m}}\)

See also scalar symbols, vector symbols, matrix symbols.

ID latex name description reference dimension: time dimension: length dimension: mass dimension: electric charge dimension: luminous intensity dimension: amount of substance dimension: temperature scope domain
0000001054 \hbar
\(\hbar\)		 Reduced Planck's constant https://en.wikipedia.org/wiki/Planck_constant#Value -1 2 1 0 0 0 0 real any
0000003141 \pi
\(\pi\)		 pi 0 0 0 0 0 0 0 real any
0000002515 m_e
\(m_e\)		 mass of electron https://en.wikipedia.org/wiki/Electron 0 0 1 0 0 0 0 real any
0000002077 v
\(v\)		 longitudinal speed of sound in condensed matter https://en.wikipedia.org/wiki/Speed_of_sound -1 1 0 0 0 0 0 real any
0000009863 m
\(m\)		 mass of atom or molecule https://en.wikipedia.org/wiki/Mass 0 0 1 0 0 0 0 real any
0000001999 e
\(e\)		 charge of an electron https://en.wikipedia.org/wiki/Elementary_charge 0 0 0 1 0 0 0 real any
0000007940 \epsilon_0
\(\epsilon_0\)		 vacuum permittivity, permittivity of free space or electric constant or the distributed capacitance of the vacuum https://en.wikipedia.org/wiki/Vacuum_permittivity 2 -3 -1 2 0 0 0 real any

Add Symbol to Expression \(v=\frac{e^2}{4 \pi \epsilon_0 \hbar} \sqrt{\frac{m_e}{2 m}}\)

You must be logged in to add a symbol.

Remove Symbol used in Expression \(v=\frac{e^2}{4 \pi \epsilon_0 \hbar} \sqrt{\frac{m_e}{2 m}}\)

You must be logged in to remove a symbol.

Operations in Expression \(v=\frac{e^2}{4 \pi \epsilon_0 \hbar} \sqrt{\frac{m_e}{2 m}}\)

See also all operations.

There are no operations associated with this expression.

Add operation used in Expression

You must be logged in to add a symbol.

There are no operations associated with this expression, so there's nothing to remove.

Relation in Expression \(v=\frac{e^2}{4 \pi \epsilon_0 \hbar} \sqrt{\frac{m_e}{2 m}}\)

 Relation is =

Change Relation used in Expression

You must be logged in to change a relation.

Edit Expression Latex and metadata

You must be logged in to edit the expression.

Edit Expression SymPy and Lean

You must be logged in to edit the expression.

"Delete Expression" isn't available because this expression is used in one or more derivations.
timing of Neo4j queries: