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I would like to gain some knowledge about how to transform differential operators to different coordinate systems using mathematica. I was wondering if there was a way. I know that the laplacian. $\begingroup$ i am new to mathematica, so my only guess was to create 2 distinct functions, one behaving like differential operator, other like a polynomial. This shows that when you consider a vector as an infinitesimal arrow, describing an infinitesimal displacement, it is natural to think of this as a differential operator. Schrödinger's formalism that involved differential operators acting on wave functions, heisenberg's formalism that involved linear operators acting on vectors. Beyond this, if you want a more expanded view of what happens to functions, vector fields, and differential operators on more general manifolds, i would really recommend.
$\begingroup$ i am new to mathematica, so my only guess was to create 2 distinct functions, one behaving like differential operator, other like a polynomial. I know that the laplacian. I would like to gain some knowledge about how to transform differential operators to different coordinate systems using mathematica. I was wondering if there was a way. Schrödinger's formalism that involved differential operators acting on wave functions, heisenberg's formalism that involved linear operators acting on vectors. Beyond this, if you want a more expanded view of what happens to functions, vector fields, and differential operators on more general manifolds, i would really recommend. This shows that when you consider a vector as an infinitesimal arrow, describing an infinitesimal displacement, it is natural to think of this as a differential operator.
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$\begingroup$ i am new to mathematica, so my only guess was to create 2 distinct functions, one behaving like differential operator, other like a polynomial. This shows that when you consider a vector as an infinitesimal arrow, describing an infinitesimal displacement, it is natural to think of this as a differential operator. Schrödinger's formalism that involved differential operators acting on.
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I would like to gain some knowledge about how to transform differential operators to different coordinate systems using mathematica. Beyond this, if you want a more expanded view of what happens to functions, vector fields, and differential operators on more general manifolds, i would really recommend. $\begingroup$ i am new to mathematica, so my only guess was to create 2.
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Beyond this, if you want a more expanded view of what happens to functions, vector fields, and differential operators on more general manifolds, i would really recommend. I know that the laplacian. I was wondering if there was a way. I would like to gain some knowledge about how to transform differential operators to different coordinate systems using mathematica. This.
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Beyond this, if you want a more expanded view of what happens to functions, vector fields, and differential operators on more general manifolds, i would really recommend. I would like to gain some knowledge about how to transform differential operators to different coordinate systems using mathematica. Schrödinger's formalism that involved differential operators acting on wave functions, heisenberg's formalism that involved linear operators acting on vectors. $\begingroup$ i am new to mathematica, so my only guess was to create 2 distinct functions, one behaving like differential operator, other like a polynomial.
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