The wavefunctions for this system are proportional to the inverse square root of two to the n times n factorial times a Gaussian times a Hermite polynomial. The zero-point energy of this system is equal to ½ times h-bar times omega. A particle in a potential minimum can be modeled using this system by Taylor expanding the potential and keeping the 2nd-order term. When this system's 2nd order differential equation is inhomogeneous, it is said to be "driven," while when there is a nonzero first derivative term, damping occurs. In this kind of system, acceleration is linearly proportional to displacement. Name this kind 
The wavefunctions for this system are proportional to the inverse square root of two to the n times n factorial times a Gaussian times a Hermite polynomial. The zero-point energy of this system is equal to ½ times h-bar times omega. A particle in a potential minimum can be modeled using this system by Taylor expanding the potential and keeping the 2nd-order term. When this system's 2nd order differential equation is inhomogeneous, it is said to be "driven," while when there is a nonzero first derivative term, damping occurs. In this kind of system, acceleration is linearly proportional to displacement. Name this kind of system exemplified by a mass attached to a spring.
The wavefunctions for this system are proportional to the inverse square root of two to the n times n factorial times a Gaussian times a Hermite polynomial.
{harmonic oscillator} [accept “simple” or “quantum” {harmonic oscillator}s, accept word forms like {simple harmonic motion} and abbreviations like {QHO} or {SHM}]