Differential Calculus> DEL...

PLEASE GIVE ME A VISUAL/GEOMETRICAL UNDERSTANDING OF "DEL" AND HAMILTONIAN OPERATOR"ψ".I AM FACING A PROBLEM IN UNDERSTANDING SCHORINDGER WAVE EQUATION WITHOUT THE MATHEMATICAL UNDERSTANDING OF "DEL".

araku valley , 14 Years ago

Grade 11

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:

Del Operator:

When it is applied to a one dimensional function, it denotes the standard derivative.

When it is applied over multidimensional domain field, then it may denote gradient, divergence or curl of field.

In a three dimensional x, y & z, del is defined as:

$\triangledown = \frac{\partial }{\partial x}i + \frac{\partial }{\partial y}j +\frac{\partial }{\partial z}k$

Hemiltonian Operator:

Hamiltonian is a operator used in quantum mechanics to denote total energy of system.

Schrodinger Hamiltonian is equal to sum of the operator corresponding to the kinetic & potential energy.

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Jitender Singh

IIT Delhi

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Differential Calculus> DEL...

PLEASE GIVE ME A VISUAL/GEOMETRICAL UNDERSTANDING OF "DEL" AND HAMILTONIAN OPERATOR"ψ".I AM FACING A PROBLEM IN UNDERSTANDING SCHORINDGER WAVE EQUATION WITHOUT THE MATHEMATICAL UNDERSTANDING OF "DEL".

araku valley , 14 Years ago

Jitender Singh

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