4. A one-particle, one-dimensional system has the state function. 1 32 1 y = sin(at)e+cos (at) (2) 4x== xe Where a is a constant and c-2.000 Å. If the particle's position is measured at t=0, estimate the probability that the result will between 2.000 Å and 2.0001 Å. (This range can be thought of as infinitesimal process)

4. A one-particle, one-dimensional system has the state function. 1 32 1 y = sin(at)e+cos (at) (2) 4x== xe Where a is a constant and c-2.000 Å. If the particle's position is measured at t=0, estimate the probability that the result will between 2.000 Å and 2.0001 Å. (This range can be thought of as infinitesimal process)

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 10.6E

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A one-particle, one-dimensional system has the state function Y = (sinat) (2)+(cosat) (32) 14 2-x² / c² xe where a is a constant and c = 2.000 Å. If the particle's position is measured at t = 0, estimate the probability that the result will lie between 2.000 Å and 2.001 Å.
2. A one-particle, one-dimensional system has the state function y=(sinat) ()* e/² + (cosat) (32/C) 1/4 2 1/4 e-x²/² е πρ >-x2/c2 xe where a is a constant and c = 2.000 Å. If the particle's position is measured at t = 0, estimate the probability that the result will lie between 2.000 Å and 2.001 Å.
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