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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator

The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator

Beyer, Horst R.

Hardcover

Series: Synthesis Lectures on Engineering, Science, and Technology

General MathematicsPhysics

ISBN10: 3031705092
ISBN13: 9783031705090
Publisher: Springer
Published: Nov 22 2024
Pages: 98
Weight: 0.77
Height: 0.47 Width: 6.91 Depth: 9.61
Language: English

This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. As mathematics and physics are inextricably interwoven in quantum theories, the author takes a mathematically rigorous approach. The book focuses on properties of the quantum system that can be observed and measured, and the author then interprets the resulting theory. The book covers methods of operator theory in the formulation of the theory as well as in the calculation of the consequences of the theory. The author addresses the mathematical foundation of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in complex Hilbert spaces. The book also explains the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell's inequality.

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