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Quantum Mechanics: Problems and Paradoxes

quant-phmath-phmath.MP2026-05v1license

Abstract

This book examines a number of problems of quantum mechanics, most of which are not usually discussed. What is the origin of probabilities in the mechanics of the microworld? What is the nature of Planck's constant h? What is the nature of probability amplitudes? What is the wave function? A system of axioms for quantum theory is formulated. A model is studied according to which a classical oscillator in a thermostat can be interpreted as a quantum one. The measurement problem is discussed in detail. For advanced undergraduate students, graduate students, and specialists interested in the foundations of quantum theory.

Comments: English translation of L.V. Prokhorov's monograph (2003). Translated by former students A.S. Ushakov & Yu. Berdinsky. Original Russian PDF included

Cite

@article{arxiv.2605.30067,
  title  = {Quantum Mechanics: Problems and Paradoxes},
  author = {L. V. Prokhorov and Alexander Ushakov S. and Yury Berdinsky},
  journal= {arXiv preprint arXiv:2605.30067},
  year   = {2026}
}