English

Notes on squeezed states in x-space representation

Quantum Physics 2018-09-25 v2

Abstract

In these notes, we discuss squeezed states using the elementary quantum language based on one-dimensional Schr\"odinger equation. No operators are used. The language of quantum optics is mentioned only for a hint to solve a differential equation. Sections II and III (squeezed vacuum and pure squeezed states) can be used in a standard undergraduate course on quantum mechanics after discussion of a harmonic oscillator. Section IV discusses density matrix of mixed squeezed states in xx-representation. These notes present explicit (therefore somewhat lengthy) step-by-step derivations. These notes are not intended for publication as a journal paper.

Keywords

Cite

@article{arxiv.1809.05531,
  title  = {Notes on squeezed states in x-space representation},
  author = {Alexander N. Korotkov},
  journal= {arXiv preprint arXiv:1809.05531},
  year   = {2018}
}

Comments

notes (not a journal paper), 4 pages

R2 v1 2026-06-23T04:06:55.119Z