Back-of-the-Envelope Quantum Mechanics

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Opis: Back-of-the-Envelope Quantum Mechanics - M. Olshanii

Dimensional and order-of-magnitude estimates are practiced by almost everybody but taught almost nowhere. When physics students engage in their first theoretical research project, they soon learn that exactly solvable problems belong only to textbooks, that numerical models are long and resource consuming, and that "something else" is needed to quickly gain insight into the system they are going to study. Qualitative methods are this "something else", but typically, students have never heard of them before. The aim of this book is to teach the craft of qualitative analysis using a set of problems, some with solutions and some without, in advanced undergraduate and beginning graduate Quantum Mechanics. Examples include a dimensional analysis solution for the spectrum of a quartic oscillator, simple WKB formulas for the matrix elements of a coordinate in a gravitational well, and a three-line-long estimate for the ionization energy of atoms uniformly valid across the whole periodic table. The piece de resistance in the collection is a series of dimensional analysis questions in Integrable Nonlinear Partial Differential Equations with no dimensions existing a priori. Solved problems include the relationship between the size and the speed of solitons of the Korteweg - de Vries equation and an expression for the oscillation period of a Nonlinear Schrodinger breather as a function of its width.WKB Approximation; "Halved" Harmonic Oscillator: A Case Study; Perturbation Theory; Variational Problems; Gravitational Well: A Case Study; Some Exotic Exactly Solvable Problems; Mean-Field Theories; Integrable Nonlinear Partial Differential Equations.


Szczegóły: Back-of-the-Envelope Quantum Mechanics - M. Olshanii

Tytuł: Back-of-the-Envelope Quantum Mechanics
Autor: M. Olshanii
Producent: World Scientific Publishing Co Ltd
ISBN: 9789814508469
Rok produkcji: 2013
Ilość stron: 150
Oprawa: Twarda
Waga: 0.41 kg


Recenzje: Back-of-the-Envelope Quantum Mechanics - M. Olshanii

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Back-of-the-Envelope Quantum Mechanics

Dimensional and order-of-magnitude estimates are practiced by almost everybody but taught almost nowhere. When physics students engage in their first theoretical research project, they soon learn that exactly solvable problems belong only to textbooks, that numerical models are long and resource consuming, and that "something else" is needed to quickly gain insight into the system they are going to study. Qualitative methods are this "something else", but typically, students have never heard of them before. The aim of this book is to teach the craft of qualitative analysis using a set of problems, some with solutions and some without, in advanced undergraduate and beginning graduate Quantum Mechanics. Examples include a dimensional analysis solution for the spectrum of a quartic oscillator, simple WKB formulas for the matrix elements of a coordinate in a gravitational well, and a three-line-long estimate for the ionization energy of atoms uniformly valid across the whole periodic table. The piece de resistance in the collection is a series of dimensional analysis questions in Integrable Nonlinear Partial Differential Equations with no dimensions existing a priori. Solved problems include the relationship between the size and the speed of solitons of the Korteweg - de Vries equation and an expression for the oscillation period of a Nonlinear Schrodinger breather as a function of its width.WKB Approximation; "Halved" Harmonic Oscillator: A Case Study; Perturbation Theory; Variational Problems; Gravitational Well: A Case Study; Some Exotic Exactly Solvable Problems; Mean-Field Theories; Integrable Nonlinear Partial Differential Equations.

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Cena 219,26 PLN
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Wysyłka: Niedostępna
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Szczegóły: Back-of-the-Envelope Quantum Mechanics - M. Olshanii

Tytuł: Back-of-the-Envelope Quantum Mechanics
Autor: M. Olshanii
Producent: World Scientific Publishing Co Ltd
ISBN: 9789814508469
Rok produkcji: 2013
Ilość stron: 150
Oprawa: Twarda
Waga: 0.41 kg


Recenzje: Back-of-the-Envelope Quantum Mechanics - M. Olshanii

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