Produktbild: Quantum Mechanics
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Quantum Mechanics Volume II: Angular Momentum, Spin, and Approximation Methods

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

27.05.2026

Verlag

Wiley-VCH

Seitenzahl

704

Maße (L/B/H)

24,9/17,5/4,1 cm

Gewicht

666 g

Auflage

3. Auflage

Übersetzt von

Nicole Ostrowsky + weitere

Sprache

Englisch

ISBN

978-3-527-41466-6

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

27.05.2026

Verlag

Wiley-VCH

Seitenzahl

704

Maße (L/B/H)

24,9/17,5/4,1 cm

Gewicht

666 g

Auflage

3. Auflage

Übersetzt von

  • Nicole Ostrowsky
  • Daniel Ostrowsky

Sprache

Englisch

ISBN

978-3-527-41466-6

Herstelleradresse

Wiley-VCH GmbH
Boschstraße 12
69469 Weinheim
DE

Email: wiley-vch@kolibri360.de

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Die Leseprobe wird geladen.
  • Produktbild: Quantum Mechanics
  • Volume I

    I WAVES AND PARTICLES. INTRODUCTION TO THE BASIC IDEAS OF QUANTUM MECHANICS 1

    READER'S GUIDE FOR COMPLEMENTS 33

    AI Order of magnitude of the wavelengths associated with material particles 35

    BI Constraints imposed by the uncertainty relations 39

    CI Heisenberg relation and atomic parameters 41

    DI An experiment illustrating the Heisenberg relations 45

    EI A simple treatment of a two-dimensional wave packet 49

    FI The relationship between one- and three-dimensional problems 53

    GI One-dimensional Gaussian wave packet: spreading of the wave packet 57

    HI Stationary states of a particle in one-dimensional square potentials 63

    JI Behavior of a wave packet at a potential step 75

    II THE MATHEMATICAL TOOLS OF QUANTUM MECHANICS 87

    READER'S GUIDE FOR COMPLEMENTS 159

    AII The Schwarz inequality 161

    BII Review of some useful properties of linear operators 163

    CII Unitary operators 173

    DII A more detailed study of the r and p representations 181

    EII Some general properties of two observables, Q and P, whose commutator is equal to i¿ 187

    FII The parity operator 193

    GII An application of the properties of the tensor product: the twodimensional inðEnite well 201

    HII Exercises 205

    III THE POSTULATES OF QUANTUM MECHANICS 213

    READER'S GUIDE FOR COMPLEMENTS 267

    AIII Particle in an inðEnite one-dimensional potential well 271

    BIII Study of the probability current in some special cases 283

    CIII Root mean square deviations of two conjugate observables 289

    DIII Measurements bearing on only one part of a physical system 293

    EIII The density operator 299

    FIII The evolution operator 313

    GIII The Schrödinger and Heisenberg pictures 317

    HIII Gauge invariance 321

    JIII Propagator for the Schrödinger equation 335

    KIII Unstable states. Lifetime 343

    LIII Exercises 347

    MIII Bound states in a "potential well" of arbitrary shape 359

    NIII Unbound states of a particle in the presence of a potential well or barrier 367

    OIII Quantum properties of a particle in a one-dimensional periodic structure 375

    IV APPLICATIONS OF THE POSTULATES TO SIMPLE CASES: SPIN 1/2 AND TWO-LEVEL SYSTEMS 393

    READER'S GUIDE FOR COMPLEMENTS 423

    AIV The Pauli matrices 425

    BIV Diagonalization of a 2 × 2 Hermitian matrix 429

    CIV Fictitious spin 1/2 associated with a two-level system 435

    DIV System of two spin 1/2 particles 441

    EIV Spin density matrix 449

    FIV Spin 1/2 particle in a static and a rotating magnetic ðEelds: magnetic resonance 455

    GIV A simple model of the ammonia molecule 469

    HIV EðDects of a coupling between a stable state and an unstable state 485

    JIV Exercises 491

    V THE ONE-DIMENSIONAL HARMONIC OSCILLATOR 497

    READER'S GUIDE FOR COMPLEMENTS 525

    AV Some examples of harmonic oscillators 527

    BV Study of the stationary states in the x representation. Hermite polynomials 547

    CV Solving the eigenvalue equation of the harmonic oscillator by the polynomial method 555

    DV Study of the stationary states in the momentum representation 563

    EV The isotropic three-dimensional harmonic oscillator 569

    FV A charged harmonic oscillator in a uniform electric ðEeld 575

    GV Coherent "quasi-classical" states of the harmonic oscillator 583

    HV Normal vibrational modes of two coupled harmonic oscillators 599

    JV Vibrational modes of an inðEnite linear chain of coupled harmonic oscillators; phonons 611

    KV Vibrational modes of a continuous physical system. Photons 631

    LV One-dimensional harmonic oscillator in thermodynamic equilibrium at a temperature T 647

    MV Exercises 661

    VI GENERAL PROPERTIES OF ANGULARMOMENTUM IN QUANTUM MECHANICS 667

    READER'S GUIDE FOR COMPLEMENTS 703

    AVI Spherical harmonics 705

    BVI Angular momentum and rotations 717

    CVI Rotation of diatomic molecules 739

    DVI Angular momentum of stationary states of a two-dimensional harmonic oscillator 755

    EVI A charged particle in a magnetic ðEeld: Landau levels 771

    FVI Exercises 795

    VII PARTICLE IN A CENTRAL POTENTIAL, HYDROGEN ATOM 803

    READER'S GUIDE FOR COMPLEMENTS 831

    AVII Hydrogen-like systems 833

    BVII A soluble example of a central potential: The isotropic three-dimensional harmonic oscillator 841

    CVII Probability currents associated with the stationary states of the hydrogen atom 851

    DVII The hydrogen atom placed in a uniform magnetic ðEeld. Paramagnetism and diamagnetism. The Zeeman eðDect 855

    EVII Some atomic orbitals. Hybrid orbitals 869

    FVII Vibrational-rotational levels of diatomic molecules 885

    GVII Exercises 899

    Index 901