Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation

Asma Mohamed Elhussin

doi:doi:10.11648/j.ijamtp.20190503.11

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Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation

Asma Mohamed Elhussin

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 3)

Received: 24 March 2019 Accepted: 21 May 2019 Published: 12 August 2019

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Abstract

Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of matter. This set back can be cured by starting the derivation using the function sensitive to these parameters. Treating particle as vibrating strings a useful expression for the velocity was found using the equation of motion. Then the relation of current density with a velocity and electric field intensity was utilized to obtain the electric field intensity in a frictional medium. Using the analogy of the electric field and quantum wave function, the wave function was obtained and found to give the conventional expression for the collision probability with relaxation time twice the classical one. Another approach was tackled by obtaining a useful expression of the total energy of strings for resistive collisional medium. This expression utilizes the wave function of quantum particle in a frictional medium to obtain collision probability formula. Fortunately this latter approach gives a relaxation time equal to the classical one. The same wave function is used to find Hamiltonian operator for the both steady state and perturbed state by friction. Fortunately both Hamiltonians satisfy hermiticty condition. The hermiticty condition for the perturbed states however needs splitting the Hamiltonian into unpertured and perturbed part.. The perturbed term satisfies uncertainty principle. The energy expression for the resistive medium resembles that of Einstein and RLC circuits. Schrodinger equation for the frictional medium was also found, where it reduces to the ordinary one when friction disappear.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 3)
DOI	10.11648/j.ijamtp.20190503.11
Page(s)	52-57
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

String, Collision Probability, Relaxation Time, Energy Operator, Schrodinger Eqauation, Hermiticty

References

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[2]	L. I. Schiff, Quantum Mechanics (McGraw Hill, Tokyo, 2009).
[3]	Schwable, F, Quantum Mechanics, 3rd edition (Springer, Berlin, 2005).
[4]	Dyson, F, J, Advanced Quantum Mechanics, 2nd edition (World Scientific Singapore, 2006).
[5]	Mubarak Dirar, Asma. A, A. Zakaria, Asma. M. E, Rawia. A. A, Amel. A, Effect of Magnetic Field on Superconducting Complex Resistance, Glob J. of Eng. Sci. and Researches, Abdallah, 3 (4); April 2016.
[6]	Rawia. A. E, Mubarak. D, Gada. M. E, sawsan. A. E, Conductivity and Effect of Magnetic Field on Its Destruction on the Basis of Generalized statistical Physics, International. J of Current Trends in Eng. & Res., V2, I8, August 2016.
[7]	Susskind, L., and Lindesay, An introduction Black Holes, Information and String Theory Revolution: The Holographic Universe (World Scientific Singapore, 2005).
[8]	Becker, K., Becker, and Schwarz, String Theory and M. Theory, Modern Introduction (Cambridge University Press, New York, 2007).
[9]	Isam. A, Mubarak. D., Rasha. A. M, Describe a Bell and Breathe Soliton by Using Harmonic Oscillator Soliton, Int. J of Theo. and Math. Phy.2019, 9 (1): 1-13.
[10]	Isam. A, Mubarak. D, Rasha. A. M, Quantization of Harmonic Oscillator Soliton by Friction Term Method, Int. J of Theo. and Math. Phy.2018, 8 (4): 89-93.
[11]	Sawsan A. Elhouri, M. Dirar, Asma Elbashir, Quantum Transverse Relaxation Time, International J. of Res. Sci. & Manegement ahmed, eta 3 (4): April (2016).
[12]	Ghada E. S, Amna E. M, Hassabala M. A., Elharam A. E, Mubarak Dirar & Sawsan A. E, Classical Newtonian Model For Destruction Of Superconductors By Magnetic Field, Global J. of Eng. Scen and researches (Elammeen 6 (3): march 2019).
[13]	Hassaballa M. A, Lutfi M. A, Muhaned A. M, M. Dirar, quantum and Generalized Special Relativity Model for Electron Charge Quantization, IOSR J. of Applied Physics, V.11, I2 Ser I) mar-Apr, 2019).
[14]	Guang-an Zou, Bo Wang, Solitary Wave Solutions for nonlinear Frictional Schrodinger Equation in Gaussian nonlocal Media. Applied Math. Letters, 88 (2019) 0-57.
[15]	Asma. M. E. S, M. Dirar & Sawsan A. E, Time Dependent Schrodinger Equation for Two Level System to Find Transvers Relaxation Time, Global. J of Eng. Sci. and Researches (saad, 6 (3): March 2019).
[16]	Lutfi M. A, Mubarak D., Amel A., Rawia A. A, Sawsan A. E, Schrodinger Quantum Equation from Classical and Quantum Harmonic Oscillator, International J. of Eng. & Research Algadir, 5 (2): February, 2016.

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APA Style

Asma Mohamed Elhussin. (2019). Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation. International Journal of Applied Mathematics and Theoretical Physics, 5(3), 52-57. https://doi.org/10.11648/j.ijamtp.20190503.11

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ACS Style

Asma Mohamed Elhussin. Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation. Int. J. Appl. Math. Theor. Phys. 2019, 5(3), 52-57. doi: 10.11648/j.ijamtp.20190503.11

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AMA Style

Asma Mohamed Elhussin. Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation. Int J Appl Math Theor Phys. 2019;5(3):52-57. doi: 10.11648/j.ijamtp.20190503.11

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@article{10.11648/j.ijamtp.20190503.11,
  author = {Asma Mohamed Elhussin},
  title = {Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {5},
  number = {3},
  pages = {52-57},
  doi = {10.11648/j.ijamtp.20190503.11},
  url = {https://doi.org/10.11648/j.ijamtp.20190503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190503.11},
  abstract = {Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of matter. This set back can be cured by starting the derivation using the function sensitive to these parameters. Treating particle as vibrating strings a useful expression for the velocity was found using the equation of motion. Then the relation of current density with a velocity and electric field intensity was utilized to obtain the electric field intensity in a frictional medium. Using the analogy of the electric field and quantum wave function, the wave function was obtained and found to give the conventional expression for the collision probability with relaxation time twice the classical one. Another approach was tackled by obtaining a useful expression of the total energy of strings for resistive collisional medium. This expression utilizes the wave function of quantum particle in a frictional medium to obtain collision probability formula. Fortunately this latter approach gives a relaxation time equal to the classical one. The same wave function is used to find Hamiltonian operator for the both steady state and perturbed state by friction. Fortunately both Hamiltonians satisfy hermiticty condition. The hermiticty condition for the perturbed states however needs splitting the Hamiltonian into unpertured and perturbed part.. The perturbed term satisfies uncertainty principle. The energy expression for the resistive medium resembles that of Einstein and RLC circuits. Schrodinger equation for the frictional medium was also found, where it reduces to the ordinary one when friction disappear.},
 year = {2019}
}

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TY  - JOUR
T1  - Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation
AU  - Asma Mohamed Elhussin
Y1  - 2019/08/12
PY  - 2019
N1  - https://doi.org/10.11648/j.ijamtp.20190503.11
DO  - 10.11648/j.ijamtp.20190503.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 52
EP  - 57
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20190503.11
AB  - Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of matter. This set back can be cured by starting the derivation using the function sensitive to these parameters. Treating particle as vibrating strings a useful expression for the velocity was found using the equation of motion. Then the relation of current density with a velocity and electric field intensity was utilized to obtain the electric field intensity in a frictional medium. Using the analogy of the electric field and quantum wave function, the wave function was obtained and found to give the conventional expression for the collision probability with relaxation time twice the classical one. Another approach was tackled by obtaining a useful expression of the total energy of strings for resistive collisional medium. This expression utilizes the wave function of quantum particle in a frictional medium to obtain collision probability formula. Fortunately this latter approach gives a relaxation time equal to the classical one. The same wave function is used to find Hamiltonian operator for the both steady state and perturbed state by friction. Fortunately both Hamiltonians satisfy hermiticty condition. The hermiticty condition for the perturbed states however needs splitting the Hamiltonian into unpertured and perturbed part.. The perturbed term satisfies uncertainty principle. The energy expression for the resistive medium resembles that of Einstein and RLC circuits. Schrodinger equation for the frictional medium was also found, where it reduces to the ordinary one when friction disappear.
VL  - 5
IS  - 3
ER  -

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Author Information

Asma Mohamed Elhussin

Qilwah College of Science and Arts, Department of Physics, Albaha University, Al Baha, Saudi Arabia

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APA Style

Asma Mohamed Elhussin. (2019). Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation. International Journal of Applied Mathematics and Theoretical Physics, 5(3), 52-57. https://doi.org/10.11648/j.ijamtp.20190503.11

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ACS Style

Asma Mohamed Elhussin. Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation. Int. J. Appl. Math. Theor. Phys. 2019, 5(3), 52-57. doi: 10.11648/j.ijamtp.20190503.11

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AMA Style

Asma Mohamed Elhussin. Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation. Int J Appl Math Theor Phys. 2019;5(3):52-57. doi: 10.11648/j.ijamtp.20190503.11

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@article{10.11648/j.ijamtp.20190503.11,
  author = {Asma Mohamed Elhussin},
  title = {Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {5},
  number = {3},
  pages = {52-57},
  doi = {10.11648/j.ijamtp.20190503.11},
  url = {https://doi.org/10.11648/j.ijamtp.20190503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190503.11},
  abstract = {Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of matter. This set back can be cured by starting the derivation using the function sensitive to these parameters. Treating particle as vibrating strings a useful expression for the velocity was found using the equation of motion. Then the relation of current density with a velocity and electric field intensity was utilized to obtain the electric field intensity in a frictional medium. Using the analogy of the electric field and quantum wave function, the wave function was obtained and found to give the conventional expression for the collision probability with relaxation time twice the classical one. Another approach was tackled by obtaining a useful expression of the total energy of strings for resistive collisional medium. This expression utilizes the wave function of quantum particle in a frictional medium to obtain collision probability formula. Fortunately this latter approach gives a relaxation time equal to the classical one. The same wave function is used to find Hamiltonian operator for the both steady state and perturbed state by friction. Fortunately both Hamiltonians satisfy hermiticty condition. The hermiticty condition for the perturbed states however needs splitting the Hamiltonian into unpertured and perturbed part.. The perturbed term satisfies uncertainty principle. The energy expression for the resistive medium resembles that of Einstein and RLC circuits. Schrodinger equation for the frictional medium was also found, where it reduces to the ordinary one when friction disappear.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation
AU  - Asma Mohamed Elhussin
Y1  - 2019/08/12
PY  - 2019
N1  - https://doi.org/10.11648/j.ijamtp.20190503.11
DO  - 10.11648/j.ijamtp.20190503.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 52
EP  - 57
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20190503.11
AB  - Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of matter. This set back can be cured by starting the derivation using the function sensitive to these parameters. Treating particle as vibrating strings a useful expression for the velocity was found using the equation of motion. Then the relation of current density with a velocity and electric field intensity was utilized to obtain the electric field intensity in a frictional medium. Using the analogy of the electric field and quantum wave function, the wave function was obtained and found to give the conventional expression for the collision probability with relaxation time twice the classical one. Another approach was tackled by obtaining a useful expression of the total energy of strings for resistive collisional medium. This expression utilizes the wave function of quantum particle in a frictional medium to obtain collision probability formula. Fortunately this latter approach gives a relaxation time equal to the classical one. The same wave function is used to find Hamiltonian operator for the both steady state and perturbed state by friction. Fortunately both Hamiltonians satisfy hermiticty condition. The hermiticty condition for the perturbed states however needs splitting the Hamiltonian into unpertured and perturbed part.. The perturbed term satisfies uncertainty principle. The energy expression for the resistive medium resembles that of Einstein and RLC circuits. Schrodinger equation for the frictional medium was also found, where it reduces to the ordinary one when friction disappear.
VL  - 5
IS  - 3
ER  -

Copy | Download