define a function f(x, v) that takes in two inputs, x and v, and returns f(x,v)=−x**3+5x**2−8x+4−v**2(2−x)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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import scipy.optimize as so
import numpy as np
import matplotlib.pyplot as plt
 
def f0(x):
  return (-x**3+5*x**2-8*x+4)
 

define a function f(x, v) that takes in two inputs, x and v, and returns

f(x,v)=−x**3+5x**2−8x+4−v**2(2−x)

 

  • Note that for v=0, this function reduces to f0 above
  • This function represents a modification, or a "perturbation" of our original system
  • The size of the modification is represented by v

The roots of this polynomial represent the energy levels of the perturbed system.

 

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