Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Il Nuovo Cimento B

EQUIVALENCE AMONG THE PROPAGATORS OF THREE-DIMENSIONAL TIME-DEPENDENT QUADRATIC SYSTEMS AND FREE PARTICLES

José Maria Filardo Bassalo, Paulo de Tarso Santos Alencar, M. Cattani

Published Jun 1, 1998• 0 citations
OpenAlex

Related papers

Equivalence among the propagators of three-dimensional time-dependent quadratic systems and free particles, by solving the Schrödinger equation

José Maria Filardo Bassalo

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Jul 1, 1996•1 citation

EQUIVALENCE POSTULATE AND THE QUANTUM POTENTIAL OF TWO FREE PARTICLES

MARCO MATONE

Commutativity of the diagram of the maps connecting three one--particle state, implied by the Equivalence Postulate (EP), gives a cocycle condition which unequivocally leads to the quantum Hamilton--Jacobi equation. Energy quantization is a direct consequences of the local homeomorphicity of the trivializing map. We review the EP and show that the quantum potential for two free particles, which depends on constants which may have a geometrical interpretation, plays the role of interaction term that admits solutions which do not vanish in the classical limit.

arXiv:hep-th/0212260•String Phenomenology Conference•Mar 1, 2003•2 citations

EQUIVALENCE OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH CONSTANT AND TIME-DEPENDENT MASS

Axel Schulze‐Halberg

We show that the time-dependent Schrödinger equation (TDSE) for a potential of the form V(x,t)=A(t)x2+B(t)x+C(t) and time-dependent mass can be transformed into the same TDSE with constant mass. We obtain an explicit formula relating solutions of the TDSE for time-dependent mass and for constant mass to each other.

Modern Physics Letters A•Dec 4, 2003•2 citations

Equivalence among the propagators of time-dependent quadratic systems and free particles, by solving the Schrödinger equation

José Maria Filardo Bassalo

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Jan 1, 1995•1 citation

Propagator of a time-dependent unbound quadratic Hamiltonian system

Kyu Hwang Yeon, H. J. Kim, Chung‐In Um +2 more

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Aug 1, 1996•8 citations

DYNAMICS OF ENTANGLEMENT FOR ONE-DIMENSIONAL SPIN SYSTEMS IN AN EXTERNAL TIME-DEPENDENT MAGNETIC FIELD

Zhen Huang, Sabre Kais

We study the dynamics of entanglement for the XY-model, one-dimensional spin systems coupled through the nearest neighbor exchange interaction and subject to an external time-dependent magnetic field. Using the two-site density matrix, we calculate the time-dependent entanglement of formation between nearest neighbor qubits. We investigate the effect of varying the temperature, the anisotropy parameter and the external time-dependent magnetic field on the entanglement. We have found that the entanglement can be localized between nearest neighbor qubits for certain values of the external time-dependent magnetic field. Moreover, as known for the magnetization of this model, the entanglement shows nonergodic behavior, it does not approach its equilibrium value at the infinite time limit.

arXiv:quant-ph/0505101•International Journal of Quantum Information•Sep 1, 2005•19 citations
Commutativity of the diagram of the maps connecting three one--particle state, implied by the Equivalence Postulate (EP), gives a cocycle condition which unequivocally leads to the quantum Hamilton--Jacobi equation. Energy quantization is a direct consequences of the local homeomorphicity of the trivializing map. We review the EP and show that the quantum potential for two free particles, which depends on constants which may have a geometrical interpretation, plays the role of interaction term that admits solutions which do not vanish in the classical limit.
We study the dynamics of entanglement for the XY-model, one-dimensional spin systems coupled through the nearest neighbor exchange interaction and subject to an external time-dependent magnetic field. Using the two-site density matrix, we calculate the time-dependent entanglement of formation between nearest neighbor qubits. We investigate the effect of varying the temperature, the anisotropy parameter and the external time-dependent magnetic field on the entanglement. We have found that the entanglement can be localized between nearest neighbor qubits for certain values of the external time-dependent magnetic field. Moreover, as known for the magnetization of this model, the entanglement shows nonergodic behavior, it does not approach its equilibrium value at the infinite time limit.