Partitions of $$N-1$$

Schrödinger term(s) for partition

1 1 1 1 1

$$\langle VPVPVPVPVPV\rangle$$

2 1 1 1

$$-\langle V\rangle \langle V{P}^{2}VPVPVPV\rangle$$

1 2 1 1

$$-\langle V\rangle \langle VPV{P}^{2}VPVPV\rangle$$

1 1 2 1

$$-\langle V\rangle \langle VPVPV{P}^{2}VPV\rangle$$

1 1 1 2

$$-\langle V\rangle \langle VPVPVPV{P}^{2}V\rangle$$

2 2 1

$${\left(\langle V\rangle \right)}^2\langle V{P}^{2}V{P}^{2}VPV\rangle$$

2 1 2

$${\left(\langle V\rangle \right)}^2\langle V{P}^{2}VPV{P}^{2}V\rangle$$

1 2 2

$${\left(\langle V\rangle \right)}^2\langle VPV{P}^{2}V{P}^{2}V\rangle$$

3 1 1

$${\left(\langle V\rangle \right)}^2\langle V{P}^{3}VPVPV\rangle$$

$$-\langle VPV\rangle \langle V{P}^{2}VPVPV\rangle$$

1 3 1

$${\left(\langle V\rangle \right)}^2\langle VPV{P}^{3}VPV\rangle$$

$$-\langle VPV\rangle \langle VPV{P}^{2}VPV\rangle$$