Extension of a Spectral Bounding Method to Complex Rotated Hamiltonians, with Application to p2−ix3p^2-ix^3

We show that a recently developed method for generating bounds for the discrete energy states of the non-hermitian $-ix^3$ potential (Handy 2001) is applicable to complex rotated versions of the Hamiltonian. This has important implications for extension of the method in the analysis of resonant states, Regge poles, and general bound states in the complex plane (Bender and Boettcher (1998)).Comment: Submitted to J. Phys.

Generating Converging Bounds to the (Complex) Discrete States of the P2+iX3+iαXP^2 + iX^3 + i\alpha X Hamiltonian

The Eigenvalue Moment Method (EMM), Handy (2001), Handy and Wang (2001)) is applied to the $H_\alpha \equiv P^2 + iX^3 + i\alpha X$ Hamiltonian, enabling the algebraic/numerical generation of converging bounds to the complex energies of the $L^2$ states, as argued (through asymptotic methods) by Delabaere and Trinh (J. Phys. A: Math. Gen. {\bf 33} 8771 (2000)).Comment: Submitted to J. Phys.

Saint Louis Blues / music by W.C. Handy; words by W.C. Handy

Cover: photo of Nat King Cole and his band; Publisher: Handy Brothers Music Co. (New York)https://egrove.olemiss.edu/sharris_e/1064/thumbnail.jp

Generating Bounds for the Ground State Energy of the Infinite Quantum Lens Potential

Moment based methods have produced efficient multiscale quantization algorithms for solving singular perturbation/strong coupling problems. One of these, the Eigenvalue Moment Method (EMM), developed by Handy et al (Phys. Rev. Lett.{\bf 55}, 931 (1985); ibid, {\bf 60}, 253 (1988b)), generates converging lower and upper bounds to a specific discrete state energy, once the signature property of the associated wavefunction is known. This method is particularly effective for multidimensional, bosonic ground state problems, since the corresponding wavefunction must be of uniform signature, and can be taken to be positive. Despite this, the vast majority of problems studied have been on unbounded domains. The important problem of an electron in an infinite quantum lens potential defines a challenging extension of EMM to systems defined on a compact domain. We investigate this here, and introduce novel modifications to the conventional EMM formalism that facilitate its adaptability to the required boundary conditions.Comment: Submitted to J. Phys.

Saint Louis Blues / music by W.C. Handy; words by W.C. Handy

Cover: photo of clarinetist Ted Lewis; Publisher: Handy Brothers Music Co. (New York)https://egrove.olemiss.edu/sharris_e/1063/thumbnail.jp

St.Louis Blues / music by W.C. Handy; words by W.C. Handy

Cover: photo inset of W. C. Handy playing trumpet; Publisher: Handy Brothers Music Co. (New York)https://egrove.olemiss.edu/sharris_e/1062/thumbnail.jp

Perancangan Interior Japanese Action Figure Center Di Surabaya

Japanese Action Figure Center in Surabaya is intended for lovers of action figures to be able to buy , assemble , and respond to their needs to provide a place that has the style of anime in Surabaya . The concept of this design is stylish and modern techno , which impressed futuristic design , and followed by the use of advanced technology in order to access the facilities in place . Brand image of the product sold itself is "imaginative and communicative " where the figure lovers will immediately be able to imagine the feel of the place is so into it . Therefore the design of the room is really an implementation of anime , or the character of the game , combined with a modern interior style

The rough rocky road: I\u27m most done travelling: Negro spiritual

https://digitalcommons.ithaca.edu/sheetmusic/1079/thumbnail.jp