3 N2In the grand-canonical ensemble, show that (&N2) = KBTBT, where Br is theIisothermal compressibility.

A vast canonical ensemble (also known as a macrocanonical ensemble) is a statistical ensemble used…

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N2 In the grand-canonical ensemble, show that (8N2) = kBTBT, where BT is the isothermal compressibility.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 7.2CYU: Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in...

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Concept explainers

Connection formulae for WKB approximation

In quantum mechanics, Schrödinger’s equation for certain systems with varying parameters cannot be solved directly. In such a case, an approximation method is used to obtain the approximate solution. WKB method is a special technique used to obtain the approximate solution for Schrödinger’s time-independent equation. In general, the WKB method is used to solve linear differential equations with varying coefficients. This method is called semiclassical approximation in quantum mechanics.

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N2
In the grand-canonical ensemble, show that (&N2) = KBTBT, where Br is the
I
isothermal compressibility.

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