Solution of Certain Problems in Quantum Mechanics (eBook)

A. Bolotin, A. Pozamantir, A. Raudeliunas (Autoren)

eBook Download: EPUB

2018
96 Seiten
Dover Publications (Verlag)
978-0-486-82961-6 (ISBN)

Infos

Intended for advanced undergraduates and graduate students in mathematics, physics, and chemistry, this concise treatment demonstrates the theory of special functions' use and application to problems in atomic and molecular physics. 2017 edition.

---

Intended for advanced undergraduates and graduate students in mathematics, physics, and chemistry, this work teaches problem-solving using the theory of special functions. The concise treatment presents the theory methodically and in detail to a wide variety of problems in atomic and molecular physics. The overall applicability of this method and its extension to solving these problems are discussed with attention to detail seldom found in textbooks of this level.Starting with a brief introduction to the hypergeometric equations and their properties, a step-by-step method consisting of six distinct parts illustrates how to address typical problems in quantum physics in a simple and uniform fashion. This technique can also be applied to the solution of other problems, for which the Schrödinger equation can be reduced by some means to an equation of the hypergeometric type. Topics include the discrete spectrum eigenfunctions, linear harmonic oscillators, Kratzer molecular potential, and the rotational correction to the Morse formula. The text concludes with an Appendix that presents an original Fourier transform-based method for converting multicenter integrals to a single center.

Autor

Professor Bolotin and Professor Raudeliunas are retired from the faculty of Vilnius University in Lithuania.

Inhalt

ContentsPreface viiAcknowledgments ix1. The Hypergeometric Function 12. The Hypergeometric Polynomials 73. Discrete Spectrum Eigenfunctions 134. The Linear Harmonic Oscillator 175. The Rigid Rotor with a Free Axis 216. A Hydrogen-like Atom 297. The Kratzer Molecular Potential 338. Solution of the Dirac Equation for a Hydrogen-like Atom. Determination of the Radial Wave Functions and Energies for the Discrete Spectrum. 399. Solution of the Vibrational Problem for a Diatomic Molecule. The Morse Potential. 6110. The Rotational Correction to the Morse Formula 69Appendix: Transformation of Multicenter Integrals to a Single Center 79Bibliography 85

Produkt-Details

• Erscheint lt. Verlag: 28.2.2018
• Reihe/Serie: Dover Books on Physics
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Schlagworte: advanced undergraduates • Atomic physics • Chemistry • discrete spectrum • discrete spectrum eigenfunctions • graduate students • harmonic oscillators • hypergeometric equations • kratzer molecular potential • linear harmonic oscillators • Mathematics • molecular physics • multicenter integrals • Physics • Problem Solving • quantum mechanics • Quantum Theory • rotational correction • rotational correction to morse formula • Science • Special Functions • step by step methods
• ISBN-10: 0-486-82961-8 / 0486829618
• ISBN-13: 978-0-486-82961-6 / 9780486829616