Uncommon paths in quantum physics

Quantum mechanics is one of the most fascinating, and at the same time most controversial, branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. Uncommon Paths in Quantum Physics allows the reader to contemplate deeply some ideas and methods that are seldom met in the contemporary literature. Instead of widespread recipes of mathematical physics, based on the solutions of integro-differential equations, the book follows logical and partly intuitional derivations of non-commutative algebra. Readers can directly penetrate the abstract world of quantum mechanics.

1. Ideas and principles -- Quantum world -- Probability waves -- Physical operators -- Noncommutative physics -- Moment of momentum -- Perturbation theory -- Factorization -- Oscillator -- Quantum numbers -- 2. Physics of the electron -- Hydrogen atom -- Bohr's formula -- Matrix elements -- Dirac's equation -- Relativistic invariance -- Spin one-half -- Pauli's theory -- Elementary consequences -- Useful definitions -- Positrons -- Fine structure -- Solution according to factorization -- Magnetic interaction -- Landau levels -- Anharmonicity -- 3. Theory of anharmonicity -- Model Hamiltonian -- Perturbation method -- Inclusion of degenerate levels -- Polynomial formalism -- Ensemble of anharmonic oscillators -- General equations -- Physical interpretation -- Rules for polynomials -- Quantum functions -- Other anharmonic models -- Morse potential -- Generalized Morse problem -- 4. Quantum fields -- Creation and destruction operators -- Free scalar field -- Quantization of electromagnetic field -- Fermi's ideology -- Electron -- positron Dirac field -- Interaction picture -- Solution according to perturbation theory -- Normal product -- Ultraviolet divergences -- Regularization of i…