Scale transformations in phase space and stretched states of a harmonic oscillator
Samo za registrovane korisnike
2017
Autori
Andreev, Vladimir A.Davidović, Dragomir M.
Davidović, Ljubica D.
Davidović, Milos D.
Davidović, Milena
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
We consider scale transformations (q, p) - gt (lambda q, lambda p) in phase space. They induce transformations of the Husimi functions H(q, p) defined in this space. We consider the Husimi functions for states that are arbitrary superpositions of n-particle states of a harmonic oscillator. We develop a method that allows finding so-called stretched states to which these superpositions transform under such a scale transformation. We study the properties of the stretched states and calculate their density matrices in explicit form. We establish that the density matrix structure can be described using negative binomial distributions. We find expressions for the energy and entropy of stretched states and calculate the means of the number-ofstates operator. We give the form of the Heisenberg and Robertson-Schrodinger uncertainty relations for stretched states.
Ključne reči:
phase space / Husimi function / scale transformation / harmonic oscillator / stretched state / uncertainty relationIzvor:
Theoretical and Mathematical Physics, 2017, 192, 1, 1080-1096Izdavač:
- Maik Nauka Publishing / Springer SBM
Finansiranje / projekti:
- Fizičke implikacije modifikovanog prostor-vremena (RS-171031)
- Novi pristup problemima zasnivanja kvantne mehanike sa aspekta primene u kvantnim tehnologijama i interpretacijama signala različitog porekla (RS-171028)
DOI: 10.1134/S0040577917070091
ISSN: 0040-5779