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

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Shahadat Hossain
Shahadat Hossain
2
M. S. Hossain
M. S. Hossain
1 Bangladesh Army University

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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.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Shahadat Hossain. 2018. \u201cInvestigation of Classical Systems with Complex Energy in the Field of Quantum-Classical Correspondence\u201d. 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
Pg. 29- 34
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-A Classification: FOR Code: 020699p
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v1.2

Issue date

April 23, 2018

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English

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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.

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

Shahadat Hossain
Shahadat Hossain Bangladesh Army University
M. S. Hossain
M. S. Hossain

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