Closed Path Integrals and the Quantum Action

Jirari, H.; Kröger, H.; Luo, X.Q.; Moriarty, K.J.M.; Rubin, S. G.

doi:10.1103/physrevlett.86.187

Cited by 21 publications

(50 citation statements)

References 12 publications

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“…Such quantum instanton solutions have been computed in Ref. [18]. As far as quantum chaos is concerned, 1-dimensional conservative systems with time-independent Hamiltonian do not generate classical chaos.…”

Section: Implications On Instantons and Chaosmentioning

confidence: 99%

“…However, the quantum action can be constructed for 2-dim Hamiltonian systems, which are known to display classical chaos, like the Henon Heiles system, Paul-trap, etc. Thus we suggest to apply the tools of classical chaos theory (like Lyapunov exponents, Poincaré sections) to the quantum action of those systems [18].…”

Section: Implications On Instantons and Chaosmentioning

confidence: 99%

“…We suggest to construct a renormalized or quantum action from transition matrix elements, which involve the time evolution [16]. In Q.M.…”

Section: The Quantum Actionmentioning

confidence: 99%

See 2 more Smart Citations

Renormalisation in quantum mechanics, quantum instantons and quantum chaos

Jirari¹,

Kröger²,

Luo³

et al. 2001

Nonlinear Analysis

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Section: Implications On Instantons and Chaosmentioning

confidence: 99%

Section: Implications On Instantons and Chaosmentioning

confidence: 99%

See 1 more Smart Citation

Renormalisation in quantum mechanics, quantum instantons and quantum chaos

Jirari¹,

Kröger²,

Luo³

et al. 2001

Nonlinear Analysis

Self Cite

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“…There are several definitions of effective potentials: effective classical potential [1, 13,14], standard effective potential [15], and so on [16,17,18,19]. All of them are defined in the framework of path integral while the relations among them have been discussed so far [13,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamical correlations: Effective potential analytic continuation approach

Horikoshi

Kinugawa

2003

The Journal of Chemical Physics

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We propose a new quantum dynamics method called the effective potential analytic continuation (EPAC) to calculate the real time quantum correlation functions at finite temperature. The method is based on the effective action formalism which includes the standard effective potential. The basic notions of the EPAC are presented for a one-dimensional double well system in comparison with the centroid molecular dynamics (CMD) and the exact real time quantum correlation function. It is shown that both the EPAC and the CMD well reproduce the exact short time behavior, while at longer time their results deviate from the exact one. The CMD correlation function damps rapidly with time because of ensemble dephasing. The EPAC correlation function, however, can reproduce the long time oscillation inherent in the quantum double well systems. It is also shown that the EPAC correlation function can be improved toward the exact correlation function by means of the higher order derivative expansion of the effective action.

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“…The interests of the computational physics and high energy physics group [1] at the Zhongshan University (ZSU) cover such topics as lattice gauge theory [2,3,4,5,6,7,8,9], supersymmetry [10], quantum instantons [11] and quantum chaos [13,12]. All of these topics can be investigated through Monte Carlo simulation, but can be quite costly in terms of computing power.…”

Section: Introductionmentioning

confidence: 99%