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Quantum Mechanics Axiomatic Approach and Understanding Through Mathematics Volume 1 1st Edition by Tapan Kumar Das ISBN 9789819904938 9819904935

Name: Quantum Mechanics Axiomatic Approach and Understanding Through Mathematics Volume 1 1st Edition by Tapan Kumar Das ISBN 9789819904938 9819904935
SKU: EB-50637432
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Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics. Volume 1 1st Edition Tapan Kumar Das Digital Instant Download

Author(s): Tapan Kumar Das

ISBN(s): 9789819904938, 9789819904945, 9819904935, 9819904943, B0BTWW7YX8

Edition: 1

File Details: PDF, 3.79 MB

Year: 2023

Language: English

SKU: EB-50637432 Category: Physics - Quantum Mechanics Tag: Tapan Kumar Das

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Quantum Mechanics Axiomatic Approach and Understanding Through Mathematics Volume 1 1st Edition by Tapan Kumar Das – Ebook PDF Instant Download/Delivery: 9789819904938 ,9819904935
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ISBN 10: 9819904935
ISBN 13: 9789819904938
Author: Tapan Kumar Das

This book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master’s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions. Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as “mathematical preliminary.” Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method,bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme. Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II.

Quantum Mechanics Axiomatic Approach and Understanding Through Mathematics Volume 1 1st Edition Table of contents:

1. Introduction

2. Mathematical Preliminary I: Linear Vector Space

3. Axiomatic Approach to Quantum Mechanics

4. Formulation of Quantum Mechanics: Representations and Pictures

5. General Uncertainty Relation

6. Harmonic Oscillator: Operator Method

7. Mathematical Preliminary II: Theory of Second Order Differential Equations

8. Solution of Schrödinger Equation: Boundary and Continuity Conditions in Coordinate Representation

9. One-Dimensional Potentials

10. Three-Dimensional Problem: Spherically Symmetric Potential and Orbital Angular Momentum

11. Hydrogen-type Atoms: Two Bodies with Mutual Force

12. Particle in a 3-D Well

13. Scattering in One Dimension

14. Scattering in Three Dimension

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Tags: Tapan Kumar Das, Quantum Mechanics, Axiomatic Approach, Mathematics