Translation for "wavevectors" to finnish

Wavevectors

• aaltovektorit

Translation examples

aaltovektorit

where the three-dimensional wavevector is given by:
missä kolmiulotteinen aaltovektori on

Using a similar approach to that of the one-dimensional box, it can be shown that the wavefunctions and energies for a centered box are given respectively by ψ n x , n y = ψ n x ( x , t , L x ) ψ n y ( y , t , L y ) {\displaystyle \psi _{n_{x},n_{y}}=\psi _{n_{x}}(x,t,L_{x})\psi _{n_{y}}(y,t,L_{y})} , E n x , n y = ℏ 2 k n x , n y 2 2 m {\displaystyle E_{n_{x},n_{y}}={\frac {\hbar ^{2}k_{n_{x},n_{y}}^{2}}{2m}}} , where the two-dimensional wavevector is given by k n x , n y = k n x x ^ + k n y y ^ = n x π L x x ^ + n y π L y y ^ {\displaystyle \mathbf {k_{n_{x},n_{y}}} =k_{n_{x}}\mathbf {\hat {x}} +k_{n_{y}}\mathbf {\hat {y}} ={\frac {n_{x}\pi }{L_{x}}}\mathbf {\hat {x}} +{\frac {n_{y}\pi }{L_{y}}}\mathbf {\hat {y}} } .
Samaan tapaan kuin yksi­ulotteisen­kin laatikon tapauksessa voidaan osoittaa, että hiukkasen aalto­funktiot ja mahdolliset energiat ovat ψ n x , n y = 4 L x L y sin ⁡ ( k n x x ) sin ⁡ ( k n y y ) {\displaystyle \psi _{n_{x},n_{y}}={\sqrt {\frac {4}{L_{x}L_{y}}}}\sin \left(k_{n_{x}}x\right)\sin \left(k_{n_{y}}y\right)} , E n x , n y = ℏ 2 k n x , n y 2 2 m {\displaystyle E_{n_{x},n_{y}}={\frac {\hbar ^{2}k_{n_{x},n_{y}}^{2}}{2m}}} , missä kaksiulotteinen aaltovektori on k n x , n y = k n x x ^ + k n y y ^ = n x π L x x ^ + n y π L y y ^ {\displaystyle \mathbf {k_{n_{x},n_{y}}} =k_{n_{x}}\mathbf {\hat {x}} +k_{n_{y}}\mathbf {\hat {y}} ={\frac {n_{x}\pi }{L_{x}}}\mathbf {\hat {x}} +{\frac {n_{y}\pi }{L_{y}}}\mathbf {\hat {y}} } .