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Non-perturbative Description of Quantum Systems pp 1–25Cite as

Capabilities of Approximate Methods in Quantum Theory

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Part of the Lecture Notes in Physics book series (LNP,volume 894)

Abstract

The majority of physical phenomena in condensed matter, atomic and molecular systems is defined by electromagnetic interactions and governed by quantum mechanics laws. The systems possess an entirely defined Hamiltonian and the physical properties are described by the corresponding solutions of Schrödinger equation. The quantum description has an universal character, which assumes the wave functions of complex systems are the solutions of the linear equations, which have similar mathematical structure for the physical systems with essentially different physical properties.

Keywords

  • Particle Number Representation
  • Quantum Anharmonic Oscillator (QAO)
  • Zeroth Approximation
  • Pade Approximants
  • Canonical Perturbation Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Author information

Authors and Affiliations

  1. Physics Department, Belarusian State University, Minsk, Belarus

    Ilya Feranchuk

  2. Physics Department, Belarusian National Technical University, Minsk, Belarus

    Alexey Ivanov

  3. Department of Physics, Ho Chi Minh City University of Pedagogy, Ho Chi Minh City, Vietnam

    Van-Hoang Le

  4. Atomicus GmbH, Karlsruhe, Germany

    Alexander Ulyanenkov

Authors
  1. Ilya Feranchuk
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  2. Alexey Ivanov
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  3. Van-Hoang Le
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  4. Alexander Ulyanenkov
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Feranchuk, I., Ivanov, A., Le, VH., Ulyanenkov, A. (2015). Capabilities of Approximate Methods in Quantum Theory. In: Non-perturbative Description of Quantum Systems. Lecture Notes in Physics, vol 894. Springer, Cham. https://doi.org/10.1007/978-3-319-13006-4_1

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