Path integral analysis of harmonic oscillators with time-dependent mass

Pramana ◽  
1991 ◽  
Vol 37 (3) ◽  
pp. 253-260 ◽  
Author(s):  
M Sabir ◽  
S Rajagopalan
Keyword(s):  
Path Integral ◽  
Harmonic Oscillators ◽  
Time Dependent ◽  
Integral Analysis ◽  
Dependent Mass

Path integral for new models of time-dependent harmonic oscillators

2020 ◽  
Vol 17 (02) ◽  
pp. 2050029
Author(s):  
Badri Berrabah ◽  
Baya Bentag
Keyword(s):  
Harmonic Oscillator ◽  
Path Integral ◽  
Direct Method ◽  
Path Integrals ◽  
Harmonic Oscillators ◽  
Time Dependent ◽  
New Models ◽  
Normalized Solutions ◽  
Dependent Mass

We have presented a particular direct method to solve time-dependent quantum problems within the framework of path integrals by using explicitly time-dependent transformations. We have applied it to the case of harmonic oscillator with time-dependent mass and frequency. Some examples have illustrated the method used. From their exact propagators, normalized solutions have been obtained.

scholarly journals Integrals of the motion and green functions for time-dependent mass harmonic oscillators

2018 ◽  
Vol 64 (1) ◽  
pp. 30
Author(s):  
Surarit Pepore
Keyword(s):  
Harmonic Oscillator ◽  
Harmonic Oscillators ◽  
Time Dependent ◽  
Green Functions ◽  
Feynman Path Integral ◽  
Feynman Path ◽  
Damped Harmonic Oscillator ◽  
System Trajectory ◽  
Dependent Mass ◽  
Motion Method

The application of the integrals of the motion of a quantum system in deriving Green function or propagator is established. The Greenfunction is shown to be the eigenfunction of the integrals of the motion which described initial points of the system trajectory in the phasespace. The explicit expressions for the Green functions of the damped harmonic oscillator, the harmonic oscillator with strongly pulsatingmass, and the harmonic oscillator with mass growing with time are obtained in co-ordinate representations. The connection between theintegrals of the motion method and other method such as Feynman path integral and Schwinger method are also discussed.

JOINT ENTROPY OF THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT MASS AND/OR FREQUENCY

2009 ◽  
Vol 23 (11) ◽  
pp. 2449-2461 ◽  
Author(s):  
ETHEM AKTÜRK ◽  
ÖZGÜR ÖZCAN ◽  
RAMAZAN SEVER
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Integral Method ◽  
Time Dependent ◽  
Joint Entropy ◽  
Feynman Path Integral ◽  
Feynman Path ◽  
Path Integral Method ◽  
Dependent Mass

Time-dependent joint entropy is obtained for harmonic oscillator with the time-dependent mass and frequency case. It is calculated by using time-dependent wave function obtained via Feynman path integral method. Variation of time dependence is investigated for various cases.

scholarly journals Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral Techniques

2020 ◽  
pp. 58-70
Author(s):  
Leila Khiari ◽  
Tahar Boudjedaa ◽  
Abdenacer Makhlouf ◽  
Mohammed Tayeb Meftah
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Adiabatic Approximation ◽  
Berry Phase ◽  
Quadratic System ◽  
Harmonic Oscillators ◽  
Time Dependent ◽  
Noncommutative Phase Space ◽  
Integral Formalism ◽  
Coupled Harmonic Oscillators

The purpose of this paper is the description of Berry’s phase, in the Euclidean Path Integral formalism, for 2D quadratic system: two time dependent coupled harmonic oscillators. This treatment is achieved by using the adiabatic approximation in the commutative and noncommutative phase space

On the Quantization Problem of a Driven Harmonic Oscillator with Time Dependent Mass and Frequency

2003 ◽  
Vol 17 (18) ◽  
pp. 983-990 ◽  
Author(s):  
Swapan Mandal
Keyword(s):  
Harmonic Oscillator ◽  
Time Dependent ◽  
Present Solution ◽  
Quadratic Hamiltonian ◽  
Dependent Mass ◽  
Quantization Problem

The quantization of a driven harmonic oscillator with time dependent mass and frequency (DHTDMF) is considered. We observe that the driven term has no influence on the quantization of the oscillator. It is found that the DHTDMF corresponds the general quadratic Hamiltonian. The present solution is critically compared with existing solutions of DHTDMF.

scholarly journals A NOTE ON THE ANALYSIS OF A HETEROGENEOUS ROD-LIKE CHAIN IN DNA MODELING

2008 ◽  
Vol 22 (14) ◽  
pp. 2213-2224
Author(s):  
YAN DING ◽  
TIEJUN LI
Keyword(s):  
Path Integral ◽  
Lie Group ◽  
Persistence Length ◽  
Elastic Behavior ◽  
Suitable Model ◽  
Weak Disorder ◽  
Integral Analysis ◽  
Basic Model ◽  
Random Forcing ◽  
Sequence Dependent

Two different results concerning the elastic behavior of the heterogeneous worm-like chain (WLC) [D. Bensimon et al., Europhys. Lett.42, 97 (1998)] and rod-like chain (RLC) [P. Nelson, Phys. Rev. Lett.80, 5810 (1998)] are compared. We argue that the RLC is a more suitable model for double-stranded (ds-) DNA. As the hetero-RLC is the basic model for studying sequence-dependent ds-DNA, a rigorous path integral analysis for the effective bending persistence length is performed in the weak disorder limit. The novelty of the paper is in analyzing a path integral on the Lie group SO(3) with random forcing, which supplies a rigorous basis for the analysis of RLC type models.

Sign in / Sign up

Export Citation Format

Share Document