The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical...

It is an important early work in the development of the mathematical formulation of quantum mechanics. The book mainly summarizes results that von Neumann...

In mathematical physics, the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operators on a Hilbert space. They...

previous to measurement is assumed to be a part of the mathematical formulation of quantum mechanics; moreover, bounds for indeterminacy can be expressed...

of great importance in itself. For further information, see C*-algebra and Gelfand–Naimark theorem. The mathematical formulation of quantum mechanics...

Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. In quantum mechanics a statistical ensemble (probability...

in the articles bra–ket notation and mathematical formulation of quantum mechanics. Consider two arbitrary quantum systems A and B, with respective Hilbert...

In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM). This theory is applicable to massive...

The phase-space formulation is a formulation of quantum mechanics that places the position and momentum variables on equal footing in phase space. The...

In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manip­ulation of propositions...

present a mathematical formulation of quantum mechanics and survey its application to some useful and oft-studied examples. In the mathematically rigorous...

of quantum mechanics is a fundamental part of the history of modern physics. The major chapters of this history begin with the emergence of quantum ideas...

The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that...

In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...

of quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several...

Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925. It was the first conceptually...

and quantum statistical mechanics has motivated results in operator algebras. The attempt to construct a rigorous mathematical formulation of quantum field...

only way to study quantum mechanical systems and make predictions. Other formulations of quantum mechanics include matrix mechanics, introduced by Werner...

probability involves combining a quantum state, which mathematically describes a quantum system, with a mathematical representation of the measurement to be performed...

Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation (2 ed.). Springer...

and the Hilbert space formulation of quantum mechanics (attributed by von Neumann to Paul Dirac). In this formulation, the state of a physical system corresponds...

path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces the...

interpretation of quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics might correspond to experienced reality. Quantum mechanics...

In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction...

mathematics, in which he authored a number of mathematical theorems. In particular, Wigner's theorem is a cornerstone in the mathematical formulation...

Quantum mechanics is the study of matter and its interactions with energy on the scale of atomic and subatomic particles. By contrast, classical physics...

and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related formulations of classical mechanics. Analytical...

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential...

aspect of quantum mechanics that Niels Bohr regarded as an essential feature of the theory. The complementarity principle holds that certain pairs of complementary...

study of forces and their effect on motion. It is a branch of classical mechanics, along with statics and kinematics. The fundamental principle of dynamics...