### Abstract

We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ _{1}, ... , λ _{k}) as a function of a set of parameters {λ _{i}}. In this context, critical means the values of {λ _{i}} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.

Original language | English |
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Title of host publication | 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 |

Editors | M. Laudon, B. Romanowicz |

Pages | 474-477 |

Number of pages | 4 |

Publication status | Published - 1 Dec 2002 |

Externally published | Yes |

Event | 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 - San Juan, Puerto Rico Duration: 21 Apr 2002 → 25 Apr 2002 |

### Other

Other | 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 |
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Country | Puerto Rico |

City | San Juan |

Period | 21/4/02 → 25/4/02 |

### Fingerprint

### Keywords

- Finite size scaling
- Quantum phase transitions
- Stability of atomic and molecular systems

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002*(pp. 474-477)

**Finite size scaling in quantum mechanics.** / Kais, Sabre.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002.*pp. 474-477, 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002, San Juan, Puerto Rico, 21/4/02.

}

TY - GEN

T1 - Finite size scaling in quantum mechanics

AU - Kais, Sabre

PY - 2002/12/1

Y1 - 2002/12/1

N2 - We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.

AB - We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact Wave function of a given Hamiltonian.

KW - Finite size scaling

KW - Quantum phase transitions

KW - Stability of atomic and molecular systems

UR - http://www.scopus.com/inward/record.url?scp=6344246156&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6344246156&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:6344246156

SN - 0970827563

SN - 9780970827562

SP - 474

EP - 477

BT - 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002

A2 - Laudon, M.

A2 - Romanowicz, B.

ER -