Velocity operator approach to a Fermion system
Seiya Nishiyama, Joao da Providencia
TL;DR
This paper develops a velocity operator framework for 3D Fermion systems, deriving a collective Hamiltonian and applying Bogoliubov transformation to analyze quantum fluid dynamics.
Contribution
It introduces a velocity operator approach to 3D Fermion systems and derives a collective Hamiltonian with diagonalization and Bogoliubov transformation.
Findings
Derived a collective Hamiltonian for 3D Fermion systems
Diagonalized the Hamiltonian to simplify analysis
Applied Bogoliubov transformation to boson-like operators
Abstract
In this paper, we formulate a velocity operator approach to a three-dimensional (3D) Fermion system. Following Sunakawa, introducing density and velocity operators, we treat 3D quantum fluid dynamics in the system. We get a collective Hamiltonian in terms of collective variables. The lowest order collective Hamiltonian is diagonalized. This diagonalization leads us to a Bogoliubov transformation for Boson-like operators.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Spectral Theory in Mathematical Physics · Crystallography and Radiation Phenomena