A QUANTUM MANY-BODY SYSTEM WITH EFFECTIVE VARIABLE MASS IN THE PRESENCE OF TIME-DEPENDENT RELATIVE HARMONIC OSCILLATOR AND ELECTRIC FIELD

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SOBHANI HADI; HASSANABADI HASSAN

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Paper Information

Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2018 | Volume:7 | Issue:15 Page(s): 1-11

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Title

A QUANTUM MANY-BODY SYSTEM WITH EFFECTIVE VARIABLE MASS IN THE PRESENCE OF TIME-DEPENDENT RELATIVE HARMONIC OSCILLATOR AND ELECTRIC FIELD

Author(s)

SOBHANI HADI | HASSANABADI HASSAN | Issue Writer Certificate

Keywords

QUANTUM MANY BODY SYSTEMQ1

TIME-DEPENDENT HARMONIC OSCILLATOR INTERACTIONQ1

TIMEDEPENDENT ELECTRIC FIELDQ1

SCHRÖDINGER EQUATIONQ2

LEWIS-RIESENFELD DYNAMICAL INVARIANTQ1

TIME EVOLUTION OPERATORQ1

Abstract

In this article, a QUANTUM MANY BODY SYSTEM has been considered. Then two time-dependent interactions have been added to the system. Changing of the interactions have been assumed in general form. After that, by using algebraic method, time evolution of this many body system has been investigated. In order to study the time evolution, LEWIS-RIESENFELD DYNAMICAL INVARIANT and TIME EVOLUTION OPERATOR methods have been used. Appropriate dynamical invariants have been constructed and their Eigen values have been derived as well as appropriate TIME EVOLUTION OPERATORs have been constructed. At the end, a comparison has been done between the results considering a special case.

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APA: Copy

SOBHANI, HADI, & HASSANABADI, HASSAN. (2018). A QUANTUM MANY-BODY SYSTEM WITH EFFECTIVE VARIABLE MASS IN THE PRESENCE OF TIME-DEPENDENT RELATIVE HARMONIC OSCILLATOR AND ELECTRIC FIELD. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 7(15 ), 1-11. SID. https://sid.ir/paper/243780/en

Vancouver: Copy

SOBHANI HADI, HASSANABADI HASSAN. A QUANTUM MANY-BODY SYSTEM WITH EFFECTIVE VARIABLE MASS IN THE PRESENCE OF TIME-DEPENDENT RELATIVE HARMONIC OSCILLATOR AND ELECTRIC FIELD. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2018;7(15 ):1-11. Available from: https://sid.ir/paper/243780/en

IEEE: Copy

HADI SOBHANI, and HASSAN HASSANABADI, “A QUANTUM MANY-BODY SYSTEM WITH EFFECTIVE VARIABLE MASS IN THE PRESENCE OF TIME-DEPENDENT RELATIVE HARMONIC OSCILLATOR AND ELECTRIC FIELD,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 7, no. 15 , pp. 1–11, 2018, [Online]. Available: https://sid.ir/paper/243780/en

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