scholarly journals QUANTUM KALB–RAMOND FIELD IN D-DIMENSIONAL DE SITTER SPACE–TIMES

2013 ◽  
Vol 28 (05n06) ◽  
pp. 1350011
Author(s):  
G. ALENCAR ◽  
I. GUEDES ◽  
R. R. LANDIM ◽  
R. N. COSTA FILHO
Keyword(s):  
Exact Solution ◽  
Wave Function ◽  
Quantum Theory ◽  
De Sitter Space ◽  
Equation Of Motion ◽  
Time Dependent ◽  
De Sitter ◽  
Sitter Background ◽  
Dynamic Invariant ◽  
Math Phys

In this work, we investigate the quantum theory of the Kalb–Ramond fields propagating in D-dimensional de Sitter space–times using the dynamic invariant method developed by Lewis and Riesenfeld [J. Math. Phys.10, 1458 (1969)] to obtain the solution of the time-dependent Schrödinger equation. The wave function is written in terms of a c-number quantity satisfying the Milne–Pinney equation, whose solution can be expressed in terms of two independent solutions of the respective equation of motion. We obtain the exact solution for the quantum Kalb–Ramond field in the de Sitter background and discuss its relation with the Cremmer–Scherk–Kalb–Ramond model.

WEHRL ENTROPY AND ENTANGLEMENT OF A TIME-DEPENDENT TWO-LEVEL TRAPPED ION INTERACTING WITH A LASER FIELD

2008 ◽  
Vol 06 (02) ◽  
pp. 331-339
Author(s):  
MAHMOUD ABDEL-ATY ◽  
SAYED ABDEL-KHALEK ◽  
ABDEL-SHAFY F. OBADA
Keyword(s):  
Exact Solution ◽  
Time Evolution ◽  
Laser Field ◽  
Equation Of Motion ◽  
Time Dependent ◽  
Heisenberg Equation ◽  
Wehrl Entropy ◽  
Entanglement Generation ◽  
Trapped Ion ◽  
Cat States

The time evolution of the atomic Wehrl entropy and long-lived entanglement generation using a single trapped ion interacting with a laser field are analyzed. Starting from the Heisenberg equation of motion, an exact solution of the system is obtained by indicating that there are some interesting features when a time-dependent modulating function is considered. We demonstrate that the long-living quantum entanglement can be obtained using the time-independent interaction when the field is initially in a pair cat states.

scholarly journals On the dynamics of gravity-induced wave function reduction

2021 ◽  
Vol 36 (26) ◽  
Author(s):  
Faramarz Rahmani ◽  
Mehdi Golshani
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
Equation Of Motion ◽  
Numerical Results ◽  
Reduction Time ◽  
Reduction Processes ◽  
Gravitational Forces ◽  
Bohmian Trajectories

In this study, we use the concept of Bohmian trajectories to present a dynamical and deterministic interpretation for the gravity-induced wave function reduction. We shall classify all possible regimes for the motion of a particle, based on the behavior of trajectories in the ensemble and under the influence of quantum and gravitational forces. In the usual approaches all the information is obtained from the wave function evolution. But, on the basis of Bohm’s deterministic quantum theory, we can investigate the motion of the particle during the reduction processes. This leads to analytical and numerical results for the reduction time and equation of motion of the particle. In this regard, a new visualization will be provided for the reduction time.

scholarly journals Quantum theory in de-Sitter space

1967 ◽  
Vol 6 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Otto Nachtmann
Keyword(s):  
Quantum Theory ◽  
De Sitter Space ◽  
De Sitter

scholarly journals SPONTANEOUS DECAY OF THE EFFECTIVE COSMOLOGICAL CONSTANT

1998 ◽  
Vol 13 (07) ◽  
pp. 571-580 ◽  
Author(s):  
MURAT ÖZER ◽  
M. O. TAHA
Keyword(s):  
Cosmological Constant ◽  
De Sitter Space ◽  
Space Time ◽  
Time Dependent ◽  
Spontaneous Decay ◽  
Quantum Fields ◽  
De Sitter ◽  
Initial Value ◽  
Effective Time ◽  
Effective Cosmological Constant

We discuss the notion that quantum fields may induce an effective time-dependent cosmological constant which decays from a large initial value. It is shown that such cosmological models are viable in a non-de Sitter space–time.

A QUANTUM-MECHANICAL MODEL FOR AN LC CIRCUIT WITH ELASTIC CAPACITOR

2013 ◽  
Vol 27 (18) ◽  
pp. 1350138 ◽  
Author(s):  
M. CALCINA NOGALES
Keyword(s):  
Exact Solution ◽  
Wave Function ◽  
Mechanical Model ◽  
Degrees Of Freedom ◽  
Complete System ◽  
Time Dependent ◽  
Quantum Mechanical ◽  
Quantum Mechanical Model ◽  
Lc Circuit ◽  
Dependent Probability

In this paper, we consider a quantum-mechanical LC circuit connected to a periodic source and with elastic capacitor. In the limit of negligible inductor energy, we present explicitly an exact solution for the wave function and spectrum of the spring-capacitor-source system. Considering the inductor energy as a perturbative term, the time-dependent probability amplitudes for the complete system are derived. We show that the mechanical degrees of freedom lead a suppression of the capacitor's charging/discharging process. Finally, we show the existence of a class of memristive component due to charge discreteness.

QUANTUM TREATMENT OF TIME DEPENDENT COUPLED OSCILLATORS

2002 ◽  
Vol 16 (19) ◽  
pp. 2837-2855 ◽  
Author(s):  
M. SEBAWE ABDALLA
Keyword(s):  
Exact Solution ◽  
Wave Function ◽  
Coupled Oscillators ◽  
Coherent States ◽  
Time Dependent ◽  
Expectation Values ◽  
Quadratic Invariants ◽  
Quantum Treatment ◽  
Schrödinger Picture

In this paper we consider the most quadratic time dependent Hamiltonian. An exact solution of the wave function in both the Schrödinger picture and coherent states representation is given. Linear and quadratic invariants are discussed. The eigenvalues and the corresponding eigenfunctions are obtained. The expectation values for the energy are also given.

Sign in / Sign up

Export Citation Format

Share Document