# -*- coding: utf-8 -*-
"""
Created on Mon Jun 22 22:41:06 2020

@author: Ian Lim
"""

Free Hamiltonian:
[[ 0.          0.          0.          0.          0.        ]
 [ 0.          8.          0.          0.          0.        ]
 [ 0.          0.          8.24621125  0.          0.        ]
 [ 0.          0.          0.          8.94427191  0.        ]
 [ 0.          0.          0.          0.         10.        ]]
Order zero potential matrix:
[[6.28318531 0.         0.         0.         0.        ]
 [0.         6.28318531 0.         0.         0.        ]
 [0.         0.         6.28318531 0.         0.        ]
 [0.         0.         0.         6.28318531 0.        ]
 [0.         0.         0.         0.         6.28318531]]
Order phi^2 potential matrix:
[[0.         0.1767767  0.24253563 0.2236068  0.2       ]
 [0.1767767  0.5        0.         0.         0.        ]
 [0.24253563 0.         0.48507125 0.         0.        ]
 [0.2236068  0.         0.         0.4472136  0.        ]
 [0.2        0.         0.         0.         0.4       ]]
Order phi^4 potential matrix:
[[0.         0.         0.         0.         0.        ]
 [0.         0.02984155 0.04094227 0.03774691 0.03376186]
 [0.         0.04094227 0.05617233 0.05178833 0.04632089]
 [0.         0.03774691 0.05178833 0.04774648 0.04270575]
 [0.         0.03376186 0.04632089 0.04270575 0.03819719]]