A Mathematical Journey To Quantum Mechanics

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:A Mathematical Journey To Quantum MechanicsISBN13:9783030860974ISBN10:3030860973Author:Capozziello, Salvatore (Author), Boskoff, Wladimir G. (Author)Description:1 Newtonian Mechanics, Lagrangians And Hamiltonians 151 1 Some Words About The Priciples Of Newtonian Mechanics 151 2 The Mechanical Lagrangian 171 3 Lagrangians And Euler-Lagrange Equations 211 4 The Mechanical Hamiltonian 241 5 Hamiltonians And General Hamilton's Equations 271 6 Poisson's Brackets In Hamiltonian Mechanics 292 Can Light Be Described By Classical Mechanics? 332 1 Michelson-Morley Experiment And The Principles Of Special Relativity 332 2 Moving Among Inertial Frames: Lorentz Transformations 382 3 Addition Of Velocities: The Relativistic Formula 412 4 Einstein's Rest Energy Formula: E=Mc2 422 5 Relativistic Energy Formula: E2 = P2 C2 + M2 C4 442 6 Describing Electromagnetic Waves: Maxwell's Equations 442 7 Invariance Under Lorentz Transformations And Non-Invariance Under Galilei'stransformations 483 Why Quantum Mechanics? 513 1 What Do We Think About The Nature Of Matter 513 2 Monochromatic Plane Waves - The One Dimensional Case 553 3 Young's Double Split Experiment: Light Seen As A Wave 603 4 The Plank-Einstein Formula: E=Hf 643 5 Light Seen As A Corpuscle: Einstein's Photoelectric Eect 693 6 Atomic Spectra And Bohr's Model Of Hydrogen Atom 703 7 Louis De Broglie Hypothesis: Material Objects Exhibit Wave-Like Behavior 733 8 Strengthening Einstein's Idea: The Compton Eect 754 Schr?Dinger's Equations And Consequences 794 1 The Schr?Dinger's Equations - The One Dimensional Case 794 2 Solving Schr?Dinger Equation For The Free Particle 814 3 Solving Schr?Dinger Equation For A Particle In A Box 824 4 Solving Schr?Dinger Equation In The Case Of Harmonic Oscillator The Quantified Energies 855 The Mathematics Behind The Harmonic Oscillator 915 1 Hermite Polynomials 915 2 Real And Complex Vector Structures 975 2 1 Finite Dimensional Real And Complex Vector Spaces, Inner Product, Norm, Distance, Completeness 975 2 2 Pre-Hilbert And Hilbert Spaces 1005 2 3 Examples Of Hilbert Spaces 1035 2 4 Orthogonal And Orthonormal Systems In Hilbert Spaces 1095 2 5 Linear Operators, Eigenvalues, Eigenvectors And Schr?Dinger Equation 1105 3 Again About De Broglie Hypothesis: Wave-Particle Duality And Wave Packets 1155 4 More About Electron In An Atom 1186 Understanding Heisenberg's Uncertainty Principl Binding:Hardcover, HardcoverPublisher:SpringerPublication Date:2021-11-03Weight:0 lbsDimensions:Number of Pages:230Language:English

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