Investigation of Classical Systems with Complex Energy in the Field of Quantum-Classical Correspondence

Shahadat Hossain; M. S. Hossain

Investigation of Classical Systems with Complex Energy in the Field of Quantum-Classical Correspondence

Shahadat Hossain * §

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M. S. Hossain §

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§ Bangladesh Army University

Investigation of Classical Systems with Complex Energy in the Field of Quantum-Classical Correspondence

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Abstract

Classical mechanics and quantum mechanics contradict each other, and both are essential to explain the phenomena of the exclusively different realm of nature. On the other hand, Bohr’s correspondence principle shows classical mechanics is the somewhat approximate version of quantum mechanics. Classically a particle with negative energy i. e. V E < is not allowed go through a forbidden region or disappearing from one well to another well. This paper gives the numerical studies for the trajectory of the particle in a double-well potential and presents quantum mechanical behavior such as tunneling in the complex plane for different energies. Our findings provide a route to solve the classical system with complex energy.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Shahadat Hossain, M. S. Hossain. 2018. "Investigation of Classical Systems with Complex Energy in the Field of Quantum-Classical Correspondence". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 18 (GJSFR Volume 18 Issue A3).

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GJSFR Volume 18 Issue A3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification FOR Code: 020699p

Submission ReceivedMarch 13, 2018
Peer Review Double Blind
Handling Editor
Accepted April 5, 2018
Published April 23, 2018

Version of record

v1.2

Issue date

April 23, 2018

Language

English

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Article Matrices

Total Score: 102

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - A: Physics & Space Science

Authors: Shahadat Hossain, M. S. Hossain (PhD/Dr. count: 0)

View Count (all-time): 341

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Publish Date: 2018 04, Wed

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