Quasi Exactly Solvable Models in Quantum Mechanics

the recent paper of González - López et al ( 1993b ) in which the problem of normalizability of solutions of one - dimensional quasi - exactly solvable ...

Author: A.G Ushveridze

Publisher: CRC Press

ISBN: 1351420321

Category: Science

Page: 480

View: 963

Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics. Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way forward. Although QES models are a recent discovery, the results are already numerous. Collecting the results of QES models in a unified and accessible form, Quasi-Exactly Solvable Models in Quantum Mechanics provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics. Because the applications of QES models are very wide, such as, for investigating non-perturbative phenomena or as a good approximation to exactly non-solvable problems, researchers in quantum mechanics-related fields cannot afford to be unaware of the possibilities of QES models.

Exactly 4Pm


Author: Louis Kiss

Publisher: Booktango

ISBN: 1468917552

Category: Fiction


View: 224

The President with a wandering eye, and the First Lady who keeps him in line are kidnapped during the sheik's daughter's wedding on a private Caribbean Island. The President sneaks a text message to the NAVY that terrorists are going to blow up the Los Angeles Airport. Can the Navy SEALs and four bikini-clad snipers triumph over the terrorists, an unfriendly ally, and a fast approaching hurricane to save the President of the United States and save the Los Angeles Airport from being blown up? The adventurous, 46 years old, playboy President and the emancipated vixen, First Lady, attend the daughter's island wedding of powerful ally, Sheikh Abdul Qaadir Al-Tigress. They and other foreign dignitaries are kidnapped by the ruthless Sheikh Komair. The President sneaks a text message to Rear Admiral Redwood that the Los Angeles airport will be blown up when his cell phone is confiscated and smashed. The rear admiral utilizes his staff, Navy SEALs, and four bikini-wearing female sharpshooting sailors – Nikka, Emily, Cheryl, and Yanina to conduct the unorthodox rescue on the island overrun by terrorist. Hurricane winds add to the drama of the rescue. Meanwhile, in Los Angeles, terrorist dressed as taxi drivers lose communication with Sheikh Komair. They proceed as planned in an attempt to outwit the police and blow up the airport. In non-stop action, with unplanned obstacles, the President, First Lady, the dignitaries, and the Los Angeles Airport are saved.

My Thoughts Exactly


Author: Arthur G. Typermass

Publisher: Xlibris Corporation

ISBN: 1462823351

Category: Fiction

Page: 228

View: 303

Why are parking lots the most dangerous places in America? What are the hardest packages to open? Do inanimate objects have a life? Can they talk to one another? What is the real purpose of those high walls along the interstate? These, and other daunting questions of our time will be answered definitively in this lively and witty collection of essays and stories. Along the way, we will travel alongside a band of latter-day civil disobedients as they strive for a strange justice, and empathize with a struggling artist as he seeks an unconventional pathway toward recognition. In another tale, a chance encounter on a snowy night in west Texas reveals what really went down the day the music died. The author also revisits simpler times, recalling a quiz show jackpot gone awry, a cherished world series played long ago, and the remembrance of cars past. More fanciful diversions include the writers presentation on his own Presidential campaign, a piece on why everyone is badly attired in a land of plenty, and the ongoing challenges everyman faces today in coping with advancing technology. A true Renaissance-Man writer, Typermass visits a wide array of subject matter in a book that captures one mans take on popular culture.

Almost Exactly Like This

Alison Brown. Almost Exactly Like This Alison Brown Almost Exactly Like This Alison Brown Almost Exactly Like This. Front Cover.

Author: Alison Brown

Publisher: Lulu.com

ISBN: 132698778X

Category: Poetry

Page: 34

View: 309

A collection of four poems which explore childhood memories and grown up anxieties. The collection begins with 'Hopefully' which takes a wry look at the way we treat each other and how difficult it is to see ourselves as others might. 'Identity Theft' takes a light hearted look at an identity issue many of us face at work. 'Two' explores the way children and adults relate to their pets and how our childhood memories stay with us into adulthood and help to shape the way we experience the world. 'Almost Everything' examines loss and grief.

D O A Not Exactly

The Unseen World J. Madison Henard. D.O.A. Not Exactly The Unseen World Madison Henard D.O.A. Not Exactly All Rights Reserved Copyright © 2015.

Author: J. Madison Henard

Publisher: BookCountry

ISBN: 146300608X

Category: Juvenile Fiction

Page: 168

View: 171

Meet Hayden Harrison as he is transformed from his Near Death Experience to the Angelic realm where he is assigned as a Shadow Manager providing oversight to the Guardian Angels of the unseen world. Journey through the different situations that Hayden and Lead Guardian Angel 72 find themselves associated with in the Angelic realm, which at times involves interaction with demons. Note how the Guardian Angels use Biblical references to provide insight and reasoning into their actions.

Beautiful Models

Sutherland, B. (1985) Introduction to Bethe's ansatz, in Exactly Solvable Problems in Condensed Matter and Relativistic Field Theory, proceedings, ...

Author: Bill Sutherland

Publisher: World Scientific Publishing Company

ISBN: 9813102144

Category: Science

Page: 400

View: 996

This invaluable book provides a broad introduction to the fascinating and beautiful subject of many-body quantum systems that can be solved exactly. The subject began with Bethe's famous solution of the one-dimensional Heisenberg magnet more than 70 years ago, soon after the invention of quantum mechanics. Since then, the diversity and scope of such systems have been steadily growing. Beautiful Models is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in physics. It is also suitable for the non-experts in physics who wish to have an overview of some of the classic and fundamental models in the subject. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.

Summary of Phil M Jones s Exactly What to Say by Milkyway Media

Exactly What to Say is a very short book. Apart from a brief introduction and conclusion, the text is divided into 23 chapters. Each chapter is just a few ...

Author: Milkyway Media

Publisher: Milkyway Media


Category: Study Aids

Page: 27

View: 343

Exactly What to Say: The Magic Words for Influence and Impact (2017) by Phil M. Jones is a simple guide to saying the right thing at the right time. Salespeople and influencers must sharpen their powers of persuasion to find success… Purchase this in-depth summary to learn more.

Cheesie Mack Is Not Exactly Famous

Granpa had a stone-faced expression, looking exactly likeavery stern judge. 2. Mom was pointing a finger at me, looking exactly like a prosecuting attorney ...

Author: Steve Cotler

Publisher: Random House Books for Young Readers

ISBN: 0385369867

Category: Juvenile Fiction

Page: 240

View: 552

Readers of Diary of a Wimpy Kid and The Name of This Book Is Secret will love Cheesie's wacky lists, drawings, and made-up words as he tells the story of the time he became famous! Sort of. In his fourth adventure, Cheesie and his best friend, Georgie, are exploring a construction site when they find a weird-looking . . . thingie . . . sticking out of the muddy ground. Whatever it is, it's very old. And very valuable! Before they know it, Cheesie and Georgie discover they're in possession of an object that dates all the way back to Colonial times. They're instant celebrities! At least at school. Will Cheesie and Georgie hold on to the ancient artifact and the fame it brings, or give it away for the good of all? Only time will tell!

Nothing in This Book Is True But It s Exactly How Things Are 15th Anniversary Edition

Pretend that you personally ordered whatever you are making wrong to be exactly the way it is, and then write down the reasons you want it that way.

Author: Bob Frissell

Publisher: North Atlantic Books

ISBN: 1556439776

Category: Philosophy

Page: 336

View: 442

Nothing in This Book Is True, But It’s Exactly How Things Are is an account of humankind’s function within the grand celestial battle between internal and external knowledge. Author Bob Frissell gives a compelling account of our planetary ascent into higher consciousness, presenting a big-screen view of the Earth through the experience of the Ascended Masters, Thoth, Babaji, and Drunvalo Melchizedek. Pulling in all manner of conspiracy theories from the Secret Government to the Philadelphia Experiment, Frissell proposes both a core transdimensional shift based on the Mayan calendar and a personal Rapture mediated through the connected, affirmed breaths of rebirthing that his teacher Melchizedek used to travel from the other side of the universe to here—breathing your own spacecraft (merkaba) out of and around your aura in order to travel through the astral realms. The 15th anniversary edition of this cult classic is revised and expanded with new illustrations and 50 pages of important new information on the Lucifer Rebellion, the solar storm, and the final three breaths of the merkaba meditation.

That s Not Exactly Amore

And I'm not exactly getting any younger.” “Hey!” Dancy tosses a napkin at her, which Tabby deflects easily. “I'm exactly the same age as you are, ...

Author: Tracey Bateman

Publisher: Hachette UK

ISBN: 0446538019

Category: Fiction

Page: 304

View: 708

When Laini Sullivan lands a job designing Nick Pantalone's coffee shop, there are two problems: one, Nick's nephew Joe hates all of her ideas and two, Laini has to admit he's right -- she's a disaster at design. Still, she can't risk losing the job. To compromise, Joe brings in help on the project, while Laini continues to bake the goodies that keep his customers lining up. Their relationship is moving along, so when new guy Officer Mark Hall implies that Joe's family is tied to the mob, Laini doesn't want to believe it. But things spin out of control when she meets the family, including "the uncles," who seem to confirm Mark's suspicions. To make things worse, Nana Pantalone makes it clear Laini isn't the kind of girl she has in mind for her grandson. Laini's not sure if she should give Joe the benefit of the doubt or just set her sites on Mark and fuhgetaboutit.

Not Exactly the CIA

... Wilson also had a contract with Syrian arms dealer Monzer al Kassar.7 From the early to mid-1980s, Not-Exactly-the-CIA was gathered in Egypt in force.

Author: Roger Phelps

Publisher: TrineDay

ISBN: 1634242602

Category: Social Science

Page: 228

View: 400

This book is a vigorous effort to answer the question, "How did we get here?"—a question that troubles virtually every American over the age of fourteen. How did America lose power in the world? How did American democracy become undermined? The press industry, who once would have been charged with answering this question, is not—according to Phelps—currently capable of doing so. Closely read, this book allows an answer to emerge to this compelling American question.

Exactly Where to Start

Exactly. Where. to. Start. “The first step is the hardest but Phil Jones will get you to take a giant leap with this poignantly powerful book.

Author: Phil M. Jones

Publisher: John Wiley & Sons

ISBN: 1119484669

Category: Business & Economics

Page: 176

View: 375

Get out of your own way and bring your ideas to life! Exactly Where to Start is a playbook for everyone with a great idea, everyone with a goal in mind, and everyone with a specific destination but no journey. We’ve been told all our lives that “good things come to those who wait”—but that’s a myth. Good things come to those who do. Too often, we get stuck in the “getting ready” stage: research, analysis, brainstorming, and more research; we feel like we need to know everything there is to know about what we want to do before we ever take the first steps. Meanwhile, the people who actually go out and do the thing are taking risks, learning lessons, and making strides toward their goals every single day. Isn’t it time you joined them? This book coaches you through the journey with precise, actionable steps that help you take that all-important first leap and keep the momentum going. Discard the distractions, break through the overwhelm, and get going for real with this real-world blueprint for turning your vision into reality. Snap yourself out of “analysis paralysis” Stop thinking you need to know everything before you even begin Make those big decisions and focus in on your goals Chart your journey’s path, and get up and get started today Many of us have fallen into a trap: we no longer believe that “anything is possible”, yet we are surrounded by proof that everything is possible! But we are distracted, harried, overwhelmed, and maybe a little intimidated. Our dreams remain forever in limbo, and we may go to our graves before we venture beyond the “planning stage”. Don’t let that happen—don’t you deserve to realize your goals? Exactly Where to Start gives you the kick in the pants and the practical plan you need to stand up, step up, and make it happen.

Exactly Solvable Models of Strongly Correlated Electrons

Finally , comparing the results with those properties known exactly , we conjecture that the approximation is , in fact , exact for the g | r2 potential .

Author: Vladimir E. Korepin

Publisher: World Scientific

ISBN: 9789810215347

Category: Technology & Engineering

Page: 490

View: 613

Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.

Not Exactly Lying

I haven't exactly kept my interest in you a secret.” “Yeah. Daniel told me that everybody knows about this thing between us. I guess they all thought it was ...

Author: Melody Summers

Publisher: Melody Summers


Category: Young Adult Fiction

Page: 156

View: 804

Why couldn’t I just have everyday ordinary neuroses like everyone else? Instead I got saddled with Social Anxiety Disorder. When I go across a room, I get so self-conscious thinking that everyone is staring at me and judging me that I forget how to walk. Any time I'm around people I blush and my hands sweat and I start shaking like I've got hypothermia, and on bad days I get full blown panic attacks. I cope in school--barely--by being that girl that nobody notices. Over the last year I've made myself as invisible as the plastic potted plants they stick in the classrooms. But at home I become Valkyrie, the mystery girl who plays online shooter games with the boys from our school. She's everything I'm not, everything I'd be if I could. I started playing when I overheard Quinn talking about it one day. Quinn is our quarterback, the gorgeous guy who has fangirls fawning all over him like puppy dogs after every football game. He's also the one who's trying the hardest to find out who I really am, because he wants me to go out with him. You'd think that would be a dream come true, right? Except he doesn't want me. He wants Valkyrie. And she's not really me at all. high school romance, ya romance, teen romance, clean and wholesome romance, beach romance, summer romance, holiday romance, romance series, coming of age

My Sentiments Exactly

... and...pointing it at me, He screamed, “I don't take bribes. Now...put your hands on top your head. Step outside the car and do exactly as I say.

Author: Mark Stellinga

Publisher: Mark Stellinga

ISBN: 0981710107


Page: 330

View: 952

To read a synopsis and purchase this title please please visit my website at: www.writerofbooks.com / or phone me at 319-354-7287 9 a.m. to 5 p.m. (IOWA) Mark Stellinga - the author.

Off Diagonal Bethe Ansatz for Exactly Solvable Models

Interestingly, this model in one spatial dimension is exactly solvable [4], which provides an important benchmark for understanding the Mott insulators.

Author: Yupeng Wang

Publisher: Springer

ISBN: 3662467569

Category: Science

Page: 296

View: 274

This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.

Exactly Where They d Fall

But of all poems, why this one? Amelia couldn't see this one. Not ever. She would know exactly what it was about. Who it was about. When it was about.

Author: Laura Rae Amos

Publisher: Laura Rae Amos

ISBN: 1476130132

Category: Fiction

Page: 294

View: 333

Jodie and Amelia were almost sisters once, before college degrees, careers, and grown-up love entered their lives. Before Jodie's brother broke up with Amelia. After so many disappointments, Amelia is finally happy. Or something like it. She's given her love and trust to her best friend, Drew, who is sweet, sensitive, loyal, and everything she's always wanted. She's calculated the perfect path to inner peace and healing by surrounding herself with people who would never break her heart. Jodie hates that all her friends are pairing up to begin their futures. She hates dating, hates romance in general. She hates that she can't forget one night, a year ago, which Drew doesn't seem to remember the same way. Everyone is moving on without her, but that's fine, because she never needed anyone in her life. "Never" has a way of proving itself wrong. With vivid characters, generous doses of humor, and palpable emotion, Exactly Where They'd Fall is a story about three friends forced to explore the complicated and fragile bonds of friendship and love. Fans of heartfelt, witty literary fiction, and smart women's fiction will enjoy this charming and honest debut.

Not Exactly What I Had in Mind

Exactly. What. I. Had. in. Mind. J. ust as Tony was getting under way on the new job, hiring a crew and dissecting drawings, I had to make a fairly major ...

Author: Rosemary Breslin

Publisher: Villard

ISBN: 0307558681

Category: Biography & Autobiography

Page: 240

View: 127

One week in 1989, Rosemary Breslin got a headache that wouldn't go away. After countless tests and treatments, doctors knew little about her strange disease except that it wasn't AIDS or cancer. Two years later, out of a job, in debt, and worried about insurance, Rosemary was invited out by friends--not knowing this would be the night she met her future husband. This is one woman's story about having a real life while facing the question of how long she might live. Serialized in Self magazine. 208 pp. National ads. Author tour. 40,000 print.