LEADER 03877nam 22006375 450 001 9910734871103321 005 20230626103939.0 010 $a981-9904-94-3 024 7 $a10.1007/978-981-99-0494-5 035 $a(CKB)27240505100041 035 $a(MiAaPQ)EBC30610998 035 $a(Au-PeEL)EBL30610998 035 $a(DE-He213)978-981-99-0494-5 035 $a(PPN)272265012 035 $a(EXLCZ)9927240505100041 100 $a20230626d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum Mechanics $eAxiomatic Approach and Understanding Through Mathematics /$fby Tapan Kumar Das 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (319 pages) 225 1 $aUNITEXT for Physics,$x2198-7890 311 $a9789819904938 320 $aIncludes bibliographical references and index. 327 $a1. 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. 330 $aThis book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master?s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions. Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as ?mathematical preliminary.? Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method, bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme. Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II. 410 0$aUNITEXT for Physics,$x2198-7890 606 $aQuantum theory 606 $aMathematics 606 $aMathematical physics 606 $aQuantum electrodynamics 606 $aQuantum Physics 606 $aApplications of Mathematics 606 $aTheoretical, Mathematical and Computational Physics 606 $aQuantum Electrodynamics, Relativistic and Many-body Calculations 615 0$aQuantum theory. 615 0$aMathematics. 615 0$aMathematical physics. 615 0$aQuantum electrodynamics. 615 14$aQuantum Physics. 615 24$aApplications of Mathematics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aQuantum Electrodynamics, Relativistic and Many-body Calculations. 676 $a530.120151 700 $aDa?sa$b Tapanakuma?ra$01423867 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734871103321 996 $aQuantum Mechanics$93552557 997 $aUNINA