# The von Neumann Lattice Coherent States and Quantum Fluctuations in an Interacting Many-Boson System with Spontaneous Symmetry Breaking

## Abstract

We consider an interacting many-Boson system with spontaneous symmetry breaking whose order parameter is expressed as the expectation value of the second quantized Boson field operator. We discuss how the effects of the quantum fluctuations can be systematically calculated by making use of the von Neumann lattice coherent states and the generalized Hill-Wheeler variational method.

- Authors:

- Department of Physics, Tokai University, Kitakaname 1117, Hiratsuka, Kanagawa 259-1292 (Japan)

- Publication Date:

- OSTI Identifier:
- 20798671

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 832; Journal Issue: 1; Conference: 2. international conference on flow dynamics, Sendai (Japan), 16-18 Nov 2005; Other Information: DOI: 10.1063/1.2204555; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANNIHILATION OPERATORS; BOSONS; EIGENSTATES; EXPECTATION VALUE; FIELD OPERATORS; FLUCTUATIONS; HELIUM 4; ORDER PARAMETERS; QUANTUM MECHANICS; SUPERFLUIDITY; SYMMETRY BREAKING; VARIATIONAL METHODS

### Citation Formats

```
Hiraiwa, N., and Toyoda, T.
```*The von Neumann Lattice Coherent States and Quantum Fluctuations in an Interacting Many-Boson System with Spontaneous Symmetry Breaking*. United States: N. p., 2006.
Web. doi:10.1063/1.2204555.

```
Hiraiwa, N., & Toyoda, T.
```*The von Neumann Lattice Coherent States and Quantum Fluctuations in an Interacting Many-Boson System with Spontaneous Symmetry Breaking*. United States. doi:10.1063/1.2204555.

```
Hiraiwa, N., and Toyoda, T. Fri .
"The von Neumann Lattice Coherent States and Quantum Fluctuations in an Interacting Many-Boson System with Spontaneous Symmetry Breaking". United States.
doi:10.1063/1.2204555.
```

```
@article{osti_20798671,
```

title = {The von Neumann Lattice Coherent States and Quantum Fluctuations in an Interacting Many-Boson System with Spontaneous Symmetry Breaking},

author = {Hiraiwa, N. and Toyoda, T.},

abstractNote = {We consider an interacting many-Boson system with spontaneous symmetry breaking whose order parameter is expressed as the expectation value of the second quantized Boson field operator. We discuss how the effects of the quantum fluctuations can be systematically calculated by making use of the von Neumann lattice coherent states and the generalized Hill-Wheeler variational method.},

doi = {10.1063/1.2204555},

journal = {AIP Conference Proceedings},

number = 1,

volume = 832,

place = {United States},

year = {Fri May 05 00:00:00 EDT 2006},

month = {Fri May 05 00:00:00 EDT 2006}

}

DOI: 10.1063/1.2204555

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