Tags » Harmonic Oscillator

Creation and annihilation operators in the harmonic oscillator: a few theorems

Reference: Tom Lancaster and Stephen J. Blundell, Quantum Field Theory for the Gifted Amateur, (Oxford University Press, 2014), Problem 3.2.

For the harmonic oscillator, … 122 more words

Physics

Harmonic oscillator ground state from annihilation operator

References: Tom Lancaster and Stephen J. Blundell, Quantum Field Theory for the Gifted Amateur, (Oxford University Press, 2014) – Problem 2.4.

We can use the… 121 more words

Physics

Coupled oscillators in terms of creation and annihilation operators; phonons

References: Tom Lancaster and Stephen J. Blundell, Quantum Field Theory for the Gifted Amateur, (Oxford University Press, 2014) – Problem 2.3.

Suppose we have a one-dimensional chain of equal masses connected by identical springs of rest length and spring constant , so that mass has a rest position of , . 652 more words

Physics

Creation and annihilation operators in the harmonic oscillator

References: Tom Lancaster and Stephen J. Blundell, Quantum Field Theory for the Gifted Amateur, (Oxford University Press, 2014) – Problems 2.1,2.2.

We’ve already seen a hint of quantum field theory when we studied the harmonic oscillator in non-relativistic quantum theory. 298 more words

Physics

Forbidden transitions in the harmonic oscillator and hydrogen

References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Problem 9.21b-c.

The stimulated emission rate in a system perturbed by an electromagnetic wave of form… 648 more words

Physics