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Many-body quantum mechanics

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Summary

Quantum mechanics of several or many interacting identical or distinguishable degrees of freedom.

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Incoming relations (arrows to this concept)

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Quantum mechanicsMany-body quantum mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Many-body quantum mechanics specializes quantum theory to interacting multi-degree systems.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Slater determinantMany-body quantum mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A Slater determinant supplies a basic antisymmetric single-configuration ansatz within fermionic many-body quantum mechanics; it does not formulate the whole subject.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Tensor-product Hilbert spaceMany-body quantum mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Composite distinguishable quantum systems use tensor-product Hilbert spaces, with symmetry restrictions for identical particles.

How to interpret this relation type

A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.

Relation sources

Tensor-product vector spaceMany-body quantum mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The state space of distinguishable composite quantum systems is modeled by a tensor product, with constraints for identical particles.

How to interpret this relation type

A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.

Relation sources

Outgoing relations (arrows from this concept)

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Many-body quantum mechanicsQuantum entanglement

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Interacting and identical-particle many-body states generally exhibit correlations that can include entanglement relative to a chosen subsystem structure.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Many-body quantum mechanicsQuantum many-body system

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Many-body quantum mechanics governs systems with several or many interacting quantum degrees of freedom; condensed-matter models select particular constituents, interactions, dimensionalities, and phases.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Many-body quantum mechanicsSecond-quantized formalism

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Second quantization reformulates many-body states and operators in Fock space.

How to interpret this relation type

Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.

Relation sources