Theoretical Concepts of Quantum Mechanics

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Quantum theory as a scientific revolution profoundly influenced human thought about the universe and governed forces of nature. Perhaps the historical development of quantum mechanics mimics the history of human scientific struggles from their beginning. This book, which brought together an international community of invited authors, represents a rich account of foundation, scientific history of quantum mechanics, relativistic quantum mechanics and field theory, and different methods to solve the Schrodinger equation. We wish for this collected volume to become an important reference for students and researchers.

Author(s): Mohammad Reza Pahlavani
Publisher: Intechopen
Year: 2017

Language: English
Pages: 614

06063 - Theoretical Concepts
06063 - Theoretical Concepts of Quantum Mechanics [Pahlavani]
00 preface_Theoretical Concepts of Quantum Mechanics
01_Complementarity in Quantum Mechanics and
Classical Statistical Mechanics
02_The Physical Nature of Wave/Particle Duality
03_The Bicomplex Heisenberg Uncertainty Principle
04_Correspondence, Time, Energy, Uncertainty,
Tunnelling, and Collapse of Probability Densities
05_Anisotropic Kepler Problem
and Critical Level Statistics
06_Theory of Elementary Particles
Based on Newtonian Mechanics
07_Better Unification for Physics in General
Through Quantum Mechanics in Particular
08_Nonrelativistic Quantum Mechanics
with Fundamental Environment
09_Non Commutative Quantum Mechanics
in Time-Dependent Backgrounds
10_Quantum Mechanics and Statistical Description
of Results of Measurement
11_Application of the Nikiforov-Uvarov
Method in Quantum Mechanics
12_Solutions for Time-Dependent Schrödinger
Equations with Applications to Quantum Dots
13_The Group Theory and Non-Euclidean
Superposition Principle in Quantum Mechanics
14_The Pancharatnam-Berry Phase:
Theoretical and Experimental Aspects
15_Bohmian Trajectories and
the Path Integral Paradigm –
Complexified Lagrangian Mechanics
16_A Fully Quantum Model of Big Bang
17_Spontaneous Supersymmetry Breaking,
Localization and Nicolai Mapping
in Matrix Models
18_Correspondences of Scale Relativity
Theory with Quantum Mechanics
19_Approximate Solutions of the Dirac Equation for
the Rosen-Morse Potential in the Presence of the
Spin-Orbit and Pseudo-Orbit Centrifugal Terms
20_Quantum Mechanics Entropy and
a Quantum Version of the H-Theorem
21_Correction, Alignment,
Restoration and Re-Composition of
Quantum Mechanical Fields of Particles
by Path Integrals and Their Applications
22_The ‘Computational Unified Field Theory’
(CUFT): Harmonizing Quantum and
Relativistic Models and Beyond
23_Theoretical Validation of the
Computational Unified Field Theory (CUFT)