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are these definitions correct?

and i can't find some of them in the book

1. Lorentz contraction equation

x'=x-vt

2. the selection rules for dipole radiation

?

3.the energies of the electron in hydrogen

4. 4 quantum numbers for hydrogen

5. the equation relating the parent-daughter nuclei in alpha decay

6. the equation relating the parent-daughter nuclei in beta decay

7. the relationship between halflife and the disintegration constant

8. how big is a nuclues?

9. what is the reason for energy bands in solids?

10. how many states are there in a s-band?

11. how many states are there in a p-band?

12. the energy of a harmonic oscillator

E=hv(n+1/2)

13. the energies of a particle in a 1-D box of length, L

14. define phase velocity

15.define group velocity

help would be appreciated, I know how to apply them. Thanks