## 19 Citations

### Reparametrization Invariance and Some of the Key Properties of Physical Systems

- PhysicsSymmetry
- 2021

By using the freedom of parametrization for a process, it is argued that the corresponding causal structure results in the observed common Arrow of Time and nonnegative masses of the particles.

### Formal Similarity Between Mathematical Structures of Electrodynamics and Quantum Mechanics

- Physics
- 2011

Electromagnetic phenomena can be described by Maxwell equations written for the vectors of electric and magnetic field. Equivalently, electrodynamics can be reformulated in terms of an…

### A variational principle, wave-particle duality, and the Schr\"{o}dinger equation

- Physics, Mathematics
- 2022

. A principle is proposed according to which the dynamics of a quantum particle in a one-dimensional conﬁguration space (OCS) is determined by a variational problem for two functionals: one is based…

### A Novel Approach to Quantum Gravity in the Presence of Matter without the Problem of Time.

- Physics
- 2019

An approach to the quantization of gravity in the presence matter is examined which starts from the classical Einstein-Hilbert action and matter approximated by point particles minimally coupled to…

### Canonical Transformations of Two-Dimensional Phase Space

- Mathematics
- 2010

It is common in textbooks on classical mechanics to discuss canonical transformations on the basis of the integral form of the canonicity conditions and a theory of integral invariants [1, 12, 14].…

### A novel approach to quantum gravity in the presence of matter without the problem of time

- PhysicsInternational Journal of Modern Physics A
- 2020

An approach to the quantization of gravity in the presence of matter is examined which starts from the classical Einstein–Hilbert action and matter approximated by “point” particles minimally coupled…

### Transformations, Symmetries and Noether Theorem

- Mathematics
- 2010

It was mentioned in Sect. 2.5 that conservation laws play an important role in the analysis of classical and quantum systems. This chapter is mainly devoted to discussion of the Noether theorem,…

### Classical and Quantum Relativistic Mechanics of a Spinning Particle

- Physics
- 2017

Search for the relativistic equations that describe evolution of rotational degrees of freedom and their influence on the trajectory of a spinning body, represents a problem with a long and…

### Some Mechanical Problems in a Geometric Setting

- Physics
- 2017

The Maupertuis variational principle is the oldest least-action principle of classical mechanics. Its precise formulation was given by Euler and Lagrange; for its history, see Yourgrau and Mandelstam…

### A short review on Noether's theorems, gauge symmetries and boundary terms, for students

- Physics
- 2016

This review is dedicated to some modern applications of the remarkable paper written in 1918 by E. Noether. On a single paper, Noether discovered the crucial relation between symmetries and conserved…

## References

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### LOCAL SYMMETRIES AND THE NOETHER IDENTITIES IN THE HAMILTONIAN FRAMEWORK

- Physics
- 2000

We study in the Hamiltonian framework the local transformations which leave invariant the Lagrangian action: δeS=div. Manifest form of the symmetry and the corresponding Noether identities is…

### On the Quantization of the New Field Theory. II

- Mathematics
- 1935

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

- Mathematics, Physics
- 1951

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

- Mathematics
- 1981

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

- Physics
- 1990

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

- Mathematics
- 2003

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

- Mathematics
- 1947

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.…

### General Principles of Quantum Mechanics

- Physics
- 1980

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.…