please help and answe in details Evaluate the commutator [y², 0²/0x² + 0²/0y²] by applying the operators to an arbitrary function f(x, y).Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer.Ədydy2y² f(x, y) + y²4y²2yf(x, y) + y²,22yy²2af(x,y)dyOf(x,y)dy2y²[y²f(x, y) + y² 8² f(x,y)მყ24y[y², 0² / əx² + 0²/Əy²]ƒ(x, y) = y² (8² / əx² + ə² /Əy²) ƒ(x, y) — (Ə² /Əx² + 0² /Əy²)y²ƒ(x, y)-= y²/== y²a² f(x, y) a² f(x, y).‚ə² ƒ(x, y)3² f(x, y))+2дуг+a² f(x, y)dy²Əx²0² f(x, y)მ22+y².əx²‚a² f(x, y)əx²-y².2f(x, y) ₂a² f(x, y)- y².2მყმყ2f(x, y)Therefore, [y², 0²/0x² + 0²/Əy²]Of(x, y)дуf(x, y) —Reset Helpдуaf(x, y)ду

To calculate the commutator for the operator y2, ∂2∂x2 +∂2∂y2 operating on an arbitrary function…

Evaluate the commutator [y², 82/8x² +82/8y2] by applying the operators to an arbitrary function f(x, y). Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. & [y²f(x, y) + y² ºf(2,y)] 4y² [2yf(x, y) + y²! 2y y² 2 0f(s) by 2y² [y² f(x, y) + y ² 0²³f(x,y)] 4y [y², 0²/0x² + 0²/0y2²]f(x, y) = y²(0²/0x² + 0²/Əy²) f(x, y) - (0²/0x² + 0²/0y²)y² f(x, y) 0² f(x, y) ( a² f(x, y) + a² f(x, y)) მ2 əx² 8² f(x, y) მ2 2 0² f(x, y) ?х2 +y² af(x, y) dy y² y ?х2 8² f(x, y) ?х2 8² f(x, y) dy² f(x, y) - Therefore, [y2, 02/0x² + 0²/0y²] = - af(x, y) dy f(x, y) - Reset Help Ə dy af(x, y) dy

Evaluate the commutator [y², 82/8x² +82/8y2] by applying the operators to an arbitrary function f(x, y). Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. & [y²f(x, y) + y² ºf(2,y)] 4y² [2yf(x, y) + y²! 2y y² 2 0f(s) by 2y² [y² f(x, y) + y ² 0²³f(x,y)] 4y [y², 0²/0x² + 0²/0y2²]f(x, y) = y²(0²/0x² + 0²/Əy²) f(x, y) - (0²/0x² + 0²/0y²)y² f(x, y) 0² f(x, y) ( a² f(x, y) + a² f(x, y)) მ2 əx² 8² f(x, y) მ2 2 0² f(x, y) ?х2 +y² af(x, y) dy y² y ?х2 8² f(x, y) ?х2 8² f(x, y) dy² f(x, y) - Therefore, [y2, 02/0x² + 0²/0y²] = - af(x, y) dy f(x, y) - Reset Help Ə dy af(x, y) dy

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter10: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 10.11E: Indicate which of these expressions yield an eigenvalue equation, and if so indicate the eigenvalue....

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