Translation examples
Niistä ensimmäinen on todennäköisyystiheyden ρ {\displaystyle \rho } jatkuvuusyhtälö: ∂ ρ / ∂ t + ∇ ⋅ ( ρ v ) = 0 , {\displaystyle \partial \rho /\partial t+\nabla \cdot (\rho v)=0\;,} missä nopeuskentän määrittelee ohjausyhtälö v → ( r → , t ) = ∇ S ( r → , t ) m . {\displaystyle {\vec {v}}({\vec {r}},t)={\frac {\nabla S({\vec {r}},t)}{m}}\;.} Pilottiaaltoteorian mukaan pistemäinen hiukkanen ja aineaalto ovat molemmat todellisia ja erillisiä fysikaalisia olioita.
The first is the continuity equation for the probability density ρ {\displaystyle \rho } : ∂ ρ / ∂ t + ∇ ⋅ ( ρ v ) = 0 , {\displaystyle \partial \rho /\partial t+\nabla \cdot (\rho v)=0\;,} where the velocity field is defined by the guidance equation v → ( r → , t ) = ∇ S ( r → , t ) m . {\displaystyle {\vec {v}}({\vec {r}},t)={\frac {\nabla S({\vec {r}},t)}{m}}\;.} According to pilot wave theory, the point particle and the matter wave are both real and distinct physical entities (unlike standard quantum mechanics, where particles and waves are considered to be the same entities, connected by wave–particle duality).
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