CALCULATION OF STATE ENERGY OF (2N+1) -FOLD WELLS USING THE SPECTRAL PROPERTIES OF SUPERSYMMETRY SHAPE-INVARIANT POTENTIAL

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TAVAKOLI MARJAN

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Journal Paper

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Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2013 | Volume:7 | Issue:7 Page(s): 1-8

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Title

CALCULATION OF STATE ENERGY OF (2N+1) -FOLD WELLS USING THE SPECTRAL PROPERTIES OF SUPERSYMMETRY SHAPE-INVARIANT POTENTIAL

Author(s)

TAVAKOLI MARJAN | Issue Writer Certificate

Keywords

SUPERSYMMETRY

EIGENSPECTRA

POTENTIAL WELLS

SHAPE INVARIANT POTENTIAL

EIGEVALUE

EIGENFUNCTION

SPECTRAL STATISTICS

Abstract

Shape invariance is an important factor of many exactly solvable quantum mechanics. Several examples of shape-invariant’discrete quantum mechanical systems’ are introduced and discussed in some detail. We present the spectral properties of supersymmetric shape-invariant potentials (SIP). Here we are interested in some time-independent integrable systems which are exactly solvable owing to the existence of supersymmetric shape-invariant symmetry. In 1981 Witten proposed (0+1) -dimensional limit of SUPERSYMMETRY (SUSY) quantum field theory, where the supercharges of SUSY quantum mechanics generate transformation between two orthogonal eigenstates of a given Hamiltonian wit degenerate eigenvaluesfor the non-SIP as very few lower eigenvalues can be known analytically, which are small to calculate spectral fluctuation.

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SUPERSYMMETRY: WHAT? WHY? WHEN?

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APA: Copy

TAVAKOLI, MARJAN. (2013). CALCULATION OF STATE ENERGY OF (2N+1) -FOLD WELLS USING THE SPECTRAL PROPERTIES OF SUPERSYMMETRY SHAPE-INVARIANT POTENTIAL. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 7(7), 1-8. SID. https://sid.ir/paper/318724/en

Vancouver: Copy

TAVAKOLI MARJAN. CALCULATION OF STATE ENERGY OF (2N+1) -FOLD WELLS USING THE SPECTRAL PROPERTIES OF SUPERSYMMETRY SHAPE-INVARIANT POTENTIAL. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2013;7(7):1-8. Available from: https://sid.ir/paper/318724/en

IEEE: Copy

MARJAN TAVAKOLI, “CALCULATION OF STATE ENERGY OF (2N+1) -FOLD WELLS USING THE SPECTRAL PROPERTIES OF SUPERSYMMETRY SHAPE-INVARIANT POTENTIAL,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 7, no. 7, pp. 1–8, 2013, [Online]. Available: https://sid.ir/paper/318724/en

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