2. a) With an example prove that Square operator is not a linear operator. b) Define the salient features of the Schrödinger equation. c) Calculate the uncertainty in velocity of a cricket ball with mass 100 gm, if uncertainty in position is 1cm.

2. a) With an example prove that Square operator is not a linear operator. b) Define the salient features of the Schrödinger equation. c) Calculate the uncertainty in velocity of a cricket ball with mass 100 gm, if uncertainty in position is 1cm.

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 10.82E: What are x,y, and z for 111 of a 3-D particle-in-a-box? The operators for y and z are similar to the...

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Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

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2. a) With an example prove that Square operator is not a linear operator.
b) Define the salient features of the Schrödinger equation.
c) Calculate the uncertainty in velocity of a cricket ball with mass 100 gm, if
uncertainty in position is 1cm.

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