Question

In: Advanced Math

What differential equation is the one-dimensional potential equation? What is the form of the solution of...

What differential equation is the one-dimensional potential equation? What is the form of the solution of the one-dimensional Dirichlet problem? The one-dimensional Neumann problem?

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Expert Solution

Answer :-

one dimensional potential equation

The Schrodinger condition for a molecule of mass M bound. in a one dimensional potential well of the structure the type of potential well is given. we need to get attentive vitality esteems and the standardized eigen capacities potential. is zero between X equivalent to zero and X equivalent to L

E > 0

one-dimensional Dirichlet problem

In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (P D E) in the interior of a given region that takes prescribed values on the boundary of the region.

delta f = 0

one-dimensional Neumann problem

In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann. When imposed on an ordinary or a partial differential equation, the condition specifies the values in which the derivative of a solution is applied within the boundary of the domain.

  

these are the differential equation for the one dimensional potential , dirichet ,neumann problems.


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