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Derivative and partial integral methods and Gauss integral's indefinite integral solution and its use in wave function in quantum mechanics and exact solutions of the wave function depending on position and time

Author

Listed:
  • Dila BaÅŸpınar

    (Özel TED Atakent Anadolu Lisesi/TÜRKİYE)

  • Ela BAÅžPINAR

    (Private Saint Benoit French High School/TÃœRKÄ°YE)

  • Umut AldoÄŸan

    (AREL Ãœniversitesi/TÃœRKÄ°YE)

Abstract

This study, , solution of Gaussian Integral with differential equation [18,19]; By using the partial integral method, the indefinite integral solution by taking x under the differential [29,30,31] and the indefinite integral solution by taking the Gaussian integral under the differential [33,38,39] both harmonic series and function solutions are found.

Suggested Citation

  • Dila BaÅŸpınar & Ela BAÅžPINAR & Umut AldoÄŸan, 2023. "Derivative and partial integral methods and Gauss integral's indefinite integral solution and its use in wave function in quantum mechanics and exact solutions of the wave function depending on positi," Journal of Quantum Technologies and Informatics Research, Holistence Publications, vol. 1(1), pages 55-63, October.
    • Handle: RePEc:jle:joujqt:v:1:y:2023:i:1:p:55-63
    DOI: doi.org/10.5281/zenodo.10102956
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    More about this item

    Keywords

    Quantum Algorithms and Quantum Circuits; Gaussian Integral; Derivative;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software

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