1. Quantal rotation Molecules
The molecular view on nuclei (Bohr-Mottelson)
High spin
The rotating mean field – spontaneous symmetry breaking
Exotic modes of nuclear rotation
Emergence of orientation
Rotation in abstract spaces

2. Rotating objects
classic
Spitzer M81
quantal
molecule
nucleus

3. 1. Molecules

4. The classical rotor 1 2 3

5. Axial rotor
Classical motion of J K J
orbit

6. Small E
Triaxial rotor
Classical motion of J
wobbling
motion
Intermediate E
Large E

7. Euler angles
5/30

8. Quantization

9. The molecular rotor
Axial rotor 1 2 3

10. K J
orbit

11. HCl
Microwave absorption
spectrum

12. Centrifugal stretching
Stiff bonds

13. 1 2 3
Triaxial rotor
Small E
wobbling
motion
10/30

14. Experimental spectrum of water

15. Born-Oppenheimer Approximation.
Electronic motion
Vibrations
Rotations CO

16. Adiabatic approximationel
rot
vib

17. II I n=4 n=3 I 10 n=2 n=1 5 n=0 P Q R n=4 I n=3 10 P n=2 I 5 R 10 n=1P Q R
n=4 I
n=3 10 P
n=2 I 5 R 10
n=1 I 5
n=0

18. Band Spectrum

19. Indistinguishable Particles.
Upper particles
Lower particles 2
Restriction of orientation
15/30