On singular Lagrangian underlying the Schrödinger equation

@article{Deriglazov2009OnSL,
  title={On singular Lagrangian underlying the Schr{\"o}dinger equation},
  author={Alexei A. Deriglazov},
  journal={Physics Letters A},
  year={2009},
  volume={373},
  pages={3920-3923}
}
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References

SHOWING 1-10 OF 20 REFERENCES

On the Quantization of the New Field Theory. II

The purpose of this paper, which is a continuation of the recently published Part I, is the proof that the quantum mechanics of a particle can be derived from the new field theory, with the help of…

The Theory of Quantized Fields. I

The conventional correspondence basis for quantum dynamics is here replaced by a self-contained quantum dynamical principle from which the equations of motion and the commutation relations can be…

Semi-classical approximation in quantum mechanics

I Quantization of Velocity Field (the Canonical Operator).- 1. The method of Stationary phase. The Legendre Transformation.- 2. Pseudodifferential Operators.- 3. The Hamilton-Jacobi Equation. The…

Quantization of Fields with Constraints

The quantization of singular field theories, in particular, gauge theories, is one of the key problems in quantum field theory. This book - which addresses the reader acquainted with the foundations…

Poincare covariant mechanics on noncommutative space

The Dirac approach to constrained systems can be adapted to construct relativistic invariant theories on a noncommutative (NC) space. As an example, we propose and discuss relativistic invariant NC…

Methods of Mathematical Physics

Partial table of contents: THE ALGEBRA OF LINEAR TRANSFORMATIONS AND QUADRATIC FORMS. Transformation to Principal Axes of Quadratic and Hermitian Forms. Minimum-Maximum Property of Eigenvalues.…

Analysis of constrained theories without use of primary constraints

General Principles of Quantum Mechanics

I The Uncertainty Principle and Complementarity.- 1. The Uncertainty Principle and Complementarity.- 2. The Measurement of Position and Momentum.- II Schrodinger Equation and Operator Calculus.- 3.…

Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellenmechanik

ZusammenfassungIn dieser Note soll eine Methode entwickelt werden, die Eigenwertprobleme der Schrödingerschen „Wellenmechanik“ durch sukzessive Approximation von dem Grenzfall der klassischen…

Wellenmechanik und halbzahlige Quantisierung

ZusammenfassungDie Arbeit behandelt eine Methode zur annähernden Lösung des Schrödingerschen Eigenwert- und Eigenfunktionproblems für ein willkürliches System von einem Freiheitsgrad. In § 1 wird…