The Ladder Operator Method in Quantum Mechanics

The book is essentially a result of the authors' attempt to generalize Dirac's elegant method of solving the eigenvalue problem of the linear harmonic oscillator by constructing raising and lowering operators. As such, students of elementary Quantum Mechanics will find Chapters II and III quite useful and illuminating. At many stages in the book the reader will find the power of the commutator algebra unfolding in an elegant manner, as in the original Dirac approach. See the lucid application of the technique to find the eigenvalues and eigenfunctions of the Kratzer oscillator algebraically A student of Advanced Quantum Mechanics will find, in Chapter III, an illustrious application of the celebrated Infeld-Hull factorization method to find a class of ladder operators which connect the eigenstates of a hierarchy of Hamiltonians like, but not the same as, the ones in Supersymmetric Quantum Mechanics. The book will be of interest to a large spectrum of students of Physics at the Master's degree level and graduate students entering a research career in Theoretical Physics and Quantum Chemistry.

Autorentext

Dr Oinam Babynanda Devi took her Master of Science degree in Physics from the Manipur University in 2002. She qualified for the Junior Research Fellowship in the UGC-CSIR NET in 2004 and joined the Ph D programme of Manipur University. After getting Ph D in January 2010 she is currently working as part-time Assistant Professor,Manipur University.

Klappentext

The book is essentially a result of the authors' attempt to generalize Dirac's elegant method of solving the eigenvalue problem of the linear harmonic oscillator by constructing raising and lowering operators. As such, students of elementary Quantum Mechanics will find Chapters II and III quite useful and illuminating. At many stages in the book the reader will find the power of the commutator algebra unfolding in an elegant manner, as in the original Dirac approach. See the lucid application of the technique to find the eigenvalues and eigenfunctions of the Kratzer oscillator algebraically A student of Advanced Quantum Mechanics will find, in Chapter III, an illustrious application of the celebrated Infeld-Hull factorization method to find a class of ladder operators which connect the eigenstates of a hierarchy of Hamiltonians like, but not the same as, the ones in Supersymmetric Quantum Mechanics. The book will be of interest to a large spectrum of students of Physics at the Master's degree level and graduate students entering a research career in Theoretical Physics and Quantum Chemistry.