- #1

- 11

- 0

The angular momentum of the Bohr atom is ⃗L = ⃗r× ⃗p

Let the Oz axis of the unit vector ⃗uz be determined by the relation L = L⃗uz, in which L stands for the magnitude of the angular momentum vector ⃗L .

(Basically L is in Positive z axis)

We specify the position of the electron within its plane of movement

by the polar coordinates r = OM and θ = ∢(⃗ux,OM), where ⃗ux is the unit vector of the Ox axis. The unit vectors in polar coordinates are to be denoted ⃗ur and ⃗uθ. Calculate the absolute value L of the angular momentum as a function of m, r and dθ/dt.

What ive tried

Ive tried little things like dp=rdθ, to get ⃗v= ⃗w x ⃗r to ⃗v =dθ/dt x ⃗r

but really i have no idea how to bring that back ⃗L= ⃗r x ⃗p

Thanks for any help

Let the Oz axis of the unit vector ⃗uz be determined by the relation L = L⃗uz, in which L stands for the magnitude of the angular momentum vector ⃗L .

(Basically L is in Positive z axis)

We specify the position of the electron within its plane of movement

by the polar coordinates r = OM and θ = ∢(⃗ux,OM), where ⃗ux is the unit vector of the Ox axis. The unit vectors in polar coordinates are to be denoted ⃗ur and ⃗uθ. Calculate the absolute value L of the angular momentum as a function of m, r and dθ/dt.

What ive tried

Ive tried little things like dp=rdθ, to get ⃗v= ⃗w x ⃗r to ⃗v =dθ/dt x ⃗r

but really i have no idea how to bring that back ⃗L= ⃗r x ⃗p

Thanks for any help

Last edited: