Events
Introduction to PT-Symmetric Extensions of Quantum Mechanics
00:00 03-06-2008
'Courier New'; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: HE">Non-Hermitian Hamiltonians with real spectra are
currently an active field of research, motivated both by the
necessity to understand their mathematical properties and by the
requirement to build a consistent unitary quantum mechanics for
them. A particularly important subset of such operators are
non-Hermitian Hamiltonians which are PT-symmetric, such as
H= p^2 + i x^3, ormor e generally, H = p^2 + x^2(ix)^n with n
being a real parameter. The reality of the spectrum of these
Hamiltonians was discovered about a decade ago by Bender and
Boettcher, a discovery which initiated the recent interest and
activity in this field. This talk will be an introduction to
PT-symmetric quantum mechanics, to its mathematical structure and
to possible applications.
currently an active field of research, motivated both by the
necessity to understand their mathematical properties and by the
requirement to build a consistent unitary quantum mechanics for
them. A particularly important subset of such operators are
non-Hermitian Hamiltonians which are PT-symmetric, such as
H= p^2 + i x^3, or
being a real parameter. The reality of the spectrum of these
Hamiltonians was discovered about a decade ago by Bender and
Boettcher, a discovery which initiated the recent interest and
activity in this field. This talk will be an introduction to
PT-symmetric quantum mechanics, to its mathematical structure and
to possible applications.
