2022/05/24 by Athanasios C. Tzemos, Tzemos, Athanasios C., G. Contopoulos +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2205.11872
openalex publication_date 2022/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the Bohmian trajectories in a 2-d quantum harmonic oscillator with non commensurable frequencies whose wavefunction is of the form Ψ=aΨm1,n1(x,y)+bΨm2,n2(x,y)+cΨm3,n3(x,y). We first find the trajectories of the nodal points for different combinations of the quantum numbers m,n. Then we study, in detail, a case with relatively large quantum numbers and two equal m's. We find %We find first the nodal points where Ψ=0. The nodes can be found analytically only if m and n are small. If two m's (or two n's are equal we can find explicitly the nodal points , which are of two types (1) fixed nodes independent of time and (2) moving nodes which from time to time collide with the fixed nodes and at particular times they go to infinity. Finally, we study the trajectories of quantum particles close to the nodal points and observe, for the first time, how chaos is generated in a complex system with multiple nodes scattered on the configuration space.