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Quantum mechanics = axiomatic approach and understanding through mathematics.. Volume 1 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum mechanics/ by Tapan Kumar Das.
Reminder of title:	axiomatic approach and understanding through mathematics.
Author:	Das, Tapan Kumar.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xv, 314 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Introduction -- 2. Mathematical preliminary I -- 3. Axiomatic approach to Quantum Mechanics -- 4. Formulation of Quantum Mechanics -- 5. General uncertainty relation -- 6. Harmonic oscillator: operator method -- 7. Mathematical preliminary II -- 8. Solution of Schrodinger equation -- 9. One-dimensional potentials -- 10. Three dimensional problem -- 11. Hydrogen-type atoms -- 12. Particle in a 3-D well -- 13. Scattering in 1-dimension -- 14. Scattering in 3-dimension.
Contained By:	Springer Nature eBook
Subject:	Quantum theory - Mathematics. -
Online resource:	https://doi.org/10.1007/978-981-99-0494-5
ISBN:	9789819904945

Quantum mechanics = axiomatic approach and understanding through mathematics.. Volume 1 /
Das, Tapan Kumar.

Quantum mechanicsaxiomatic approach and understanding through mathematics.Volume 1 /[electronic resource] :by Tapan Kumar Das. - Singapore :Springer Nature Singapore :2023. - xv, 314 p. :ill., digital ;24 cm. - UNITEXT for physics,2198-7890. - UNITEXT for physics..

1. Introduction -- 2. Mathematical preliminary I -- 3. Axiomatic approach to Quantum Mechanics -- 4. Formulation of Quantum Mechanics -- 5. General uncertainty relation -- 6. Harmonic oscillator: operator method -- 7. Mathematical preliminary II -- 8. Solution of Schrodinger equation -- 9. One-dimensional potentials -- 10. Three dimensional problem -- 11. Hydrogen-type atoms -- 12. Particle in a 3-D well -- 13. Scattering in 1-dimension -- 14. Scattering in 3-dimension.

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.

ISBN: 9789819904945

Standard No.: 10.1007/978-981-99-0494-5doiSubjects--Topical Terms:

705044
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35

Dewey Class. No.: 530.120151

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505 0 $a 1. Introduction -- 2. Mathematical preliminary I -- 3. Axiomatic approach to Quantum Mechanics -- 4. Formulation of Quantum Mechanics -- 5. General uncertainty relation -- 6. Harmonic oscillator: operator method -- 7. Mathematical preliminary II -- 8. Solution of Schrodinger equation -- 9. One-dimensional potentials -- 10. Three dimensional problem -- 11. Hydrogen-type atoms -- 12. Particle in a 3-D well -- 13. Scattering in 1-dimension -- 14. Scattering in 3-dimension.
520 $a 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.
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