Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation

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Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation. / Ioffe, M. V. ; Nishnianidze, David N.

In: Europhysics Letters, Vol. 129, No. 6, 61001, 03.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{e293cdd74f96423286b87ee3a8874f6e,

title = "Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation",

abstract = "It is commonly known that the Fokker-Planck equation is exactly solvable only for some particular systems, usually with time-independent drift coefficients. To extend the class of solvable problems, we use the intertwining relations of SUSY Quantum Mechanics but in new —asymmetric— form. It turns out that this form is just useful for the solution of the Fokker-Planck equation. As usual, intertwining provides a partnership between two different systems both described by the Fokker-Planck equation. Due to the use of an asymmetric kind of intertwining relations with a suitable ansatz, we managed to obtain a new class of analytically solvable models. What is important, this approach allows us to deal with the drift coefficients depending on both variables, x and t. An illustrating example of the proposed construction is given explicitly.",

author = "Ioffe, {M. V.} and Nishnianidze, {David N.}",

year = "2020",

month = mar,

doi = "10.1209/0295-5075/129/61001",

language = "English",

volume = "129",

journal = "Lettere Al Nuovo Cimento",

issn = "0295-5075",

publisher = "IOP Publishing Ltd.",

number = "6",

}

RIS

TY - JOUR

T1 - Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation

AU - Ioffe, M. V.

AU - Nishnianidze, David N.

PY - 2020/3

Y1 - 2020/3

N2 - It is commonly known that the Fokker-Planck equation is exactly solvable only for some particular systems, usually with time-independent drift coefficients. To extend the class of solvable problems, we use the intertwining relations of SUSY Quantum Mechanics but in new —asymmetric— form. It turns out that this form is just useful for the solution of the Fokker-Planck equation. As usual, intertwining provides a partnership between two different systems both described by the Fokker-Planck equation. Due to the use of an asymmetric kind of intertwining relations with a suitable ansatz, we managed to obtain a new class of analytically solvable models. What is important, this approach allows us to deal with the drift coefficients depending on both variables, x and t. An illustrating example of the proposed construction is given explicitly.

AB - It is commonly known that the Fokker-Planck equation is exactly solvable only for some particular systems, usually with time-independent drift coefficients. To extend the class of solvable problems, we use the intertwining relations of SUSY Quantum Mechanics but in new —asymmetric— form. It turns out that this form is just useful for the solution of the Fokker-Planck equation. As usual, intertwining provides a partnership between two different systems both described by the Fokker-Planck equation. Due to the use of an asymmetric kind of intertwining relations with a suitable ansatz, we managed to obtain a new class of analytically solvable models. What is important, this approach allows us to deal with the drift coefficients depending on both variables, x and t. An illustrating example of the proposed construction is given explicitly.

UR - https://iopscience.iop.org/article/10.1209/0295-5075/129/61001

UR - http://www.scopus.com/inward/record.url?scp=85084966030&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/129/61001

DO - 10.1209/0295-5075/129/61001

M3 - Article

VL - 129

JO - Lettere Al Nuovo Cimento

JF - Lettere Al Nuovo Cimento

SN - 0295-5075

IS - 6

M1 - 61001

ER -

ID: 52838353