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Grade 11Differential Calculus

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

araku valley

16 Years agoGrade 11

1 Answer

Jitender Singh

12 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.

Thanks & Regards

Jitender Singh

IIT Delhi

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