Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation.

We present for the first time an approach about Bose-Einstein condensates made up of atoms with attractive interatomic interactions confined to the Pöschl-Teller hyperbolic potential. In this paper, we consider a Bose-Einstein condensate confined in a cigar-shaped, and it was modeled by the mean field equation known as the Gross-Pitaevskii equation.

An analytical (variational method) and numerical (two-step Crank-Nicolson) approach is proposed to study the proposed model of interatomic interaction. The solutions of the one-dimensional Gross-Pitaevskii equation obtained in this paper confirmed, from a theoretical point of view, the possibility of the Pöschl-Teller potential to confine Bose-Einstein condensates.

hCRP TRF 50
CHTR1021-50	Mediomics	1 Kit	EUR 288

hAlbumin FRET 50
AH1005-50	Mediomics	1 Kit	EUR 266

hAlbumin TRF 50
AHTR1005-50	Mediomics	1 Kit	EUR 288

Extended Warranty 50
EW-50	Next Advance	1each	EUR 929
Description: Extended warranty on a BB50-DX Bullet Blender, from 2 to 4 years. Includes priority on repairs, parts, labor and domestic shipping.

KinaSorb™ 50
KE785-50	Biotech Support Group	50 preps	EUR 1567

hInsulin FRET 50
IH1017-50	Mediomics	1 Kit	EUR 266

hInsulin TRF 50
IHTR1017-50	Mediomics	1 Kit	EUR 288

mIgG TRF 50
MIGTR1020-50	Mediomics	1 Kit	EUR 288

rIgG FRET 50
RI1024-50	Mediomics	1 Kit	EUR 266

TruStrip Sample Transfer Strips, 50-ul, 50/Pk (without sample tracking dye)
STS-50-50	Alpha Diagnostics	1 Pk	Ask for price

TruStrip Sample Transfer Strips, 50-ul, 50/Pk (with sample tracking dye)
STSD-50-50	Alpha Diagnostics	1 Pk	Ask for price

MTBK_20640-50
AR02-P0011-50	Abfrontier	50ug	EUR 727

Bridge-It L-Tryptophan 50
1-1-1001A	Mediomics	1 Kit	EUR 266

Bridge-It L-MET 50
1-1-1005A	Mediomics	1 Kit	EUR 266

FUNNEL, 50 MM, PP
6120P-50	CORNING	24/pk	EUR 49
Description: Reusable Plastics; Reusable Funnels

Rabies(Rab-50) Antibody
BNUM0943-50	Biotium	50uL	EUR 395
Description: Primary antibody against Rabies(Rab-50), 1mg/mL

Adrenomedullin (ADM/AM, 1-50), rat
SP-100046-1	Alpha Diagnostics	1 mg	EUR 529

Rv0351 (GrpE)-50
AR02-P0003-50	Abfrontier	50ug	EUR 173

Rv1009 (RpfB)-50
AR02-P0006-50	Abfrontier	50ug	EUR 727

Rv2450c (RpfE)-50
AR02-P0007-50	Abfrontier	50ug	EUR 727

Rv3875 (esxA)-50
AR02-P0008-50	Abfrontier	50ug	EUR 727

Rv2031c(HspX)-50
AR02-P0009-50	Abfrontier	50ug	EUR 727

Rv3131 (NfnB)-50
AR02-P0010-50	Abfrontier	50ug	EUR 727

ERLENMEYER FLASK, 50 ML, PP
4985P-50	CORNING	6/pk	EUR 50
Description: Reusable Plastics; Reusable Erl Flasks

ERLENMEYER FLASK, 50 ML, PMP
4990P-50	CORNING	6/pk	EUR 54
Description: Reusable Plastics; Reusable Erl Flasks

Rv2769c (PE27 protein)-50
AR02-P0001-50	Abfrontier	50ug	EUR 295

TR-FRET Bridge-It SAM 50
TRF-1-1-1003A	Mediomics	1 Kit	EUR 288

slingshot homolog 1 (SSH1)(MBP-his tagged)-50
AR09-P0023-50	Abfrontier	50ug	EUR 4597

DNA Gel Extraction Kit - 50 Columns
31030-50	Biotium	1kit	EUR 155
Description: Minimum order quantity: 1 unit of 1kit

Cytokeratin 5/8(C-50) Antibody
BNUM0948-50	Biotium	50uL	EUR 395
Description: Primary antibody against Cytokeratin 5/8(C-50), 1mg/mL

Super piggyBac Transposase expression vector (replaces PB200A-1), 50 rxns
PB210PA-1	SBI	10 ug	EUR 508
Category: PiggyBac Technology

RNAfection, RNA transfection reagent 50 ul
MR750A-1	SBI	50 ul	EUR 210
Category: Stem Cell Products

TR-FRET Bridge-It L-Tryptophan 50
TRF-1-1-1001A	Mediomics	1 Kit	EUR 288

TR-FRET Bridge-It L-MET 50
TRF-1-1-1005A	Mediomics	1 Kit	EUR 288

MTBK 20620 (PE protein)-50
AR02-P0005-50	Abfrontier	50ug	EUR 830

DiagNano Fluorophore Labeled Gold Nanoparticles, 50 nm
GFL-50	Creative Diagnostics	1 mL	EUR 1053

Aflatoxin G2
A118-0.5MG	TOKU-E	0.5 mg	EUR 157

Aflatoxin G2
A118-2.5MG	TOKU-E	2.5 mg	EUR 473

M-phase inducer phosphatase 1 (CDC25A)(MBP-his tagged)-50
AR09-P0030-50	Abfrontier	50ug	EUR 698

TruStrip Sample Storage/Transportation Trays (5 trays/cluster; 10 clusters for 50 strips) for 15-50 ul strips
STT5-50	Alpha Diagnostics	1 Pk	Ask for price

DiagNano Gold Nanoparticle Passive Conjugation Kit, 50 nm
GPK-50	Creative Diagnostics	1 kit	EUR 715

Rv0350 (Heat Shock Protein 70)-50
AR02-P0002-50	Abfrontier	50ug	EUR 180

Rv2299c (Heat Shock Protein 90)-50
AR02-P0004-50	Abfrontier	50ug	EUR 222

Excision only piggyBac Transposase expression vector, 50 rxns
PB220PA-1	SBI	10 ug	EUR 508
Category: PiggyBac Technology

protein tyrosine phosphatase, non-receptor type 1 (PTPN1)(His tagged)-50
AR09-P0027-50	Abfrontier	50ug	EUR 141

Antigen Retrieval Solution, Citrate pH 6.0 (50 ml, 100X)
ARS6-50	Alpha Diagnostics	5 L	EUR 286

Antigen Retrieval Solution, EDTA pH 8.0 (50 ml, 100X)
ARS8-50	Alpha Diagnostics	5 L	EUR 286

Single channel mini-pipette (130 mm) 50 ul, autoclavable
SCMP-50	Alpha Diagnostics	1	EUR 92

PTPRF(His tagged) / LAR(His tagged)-50
AR09-P0002-50	Abfrontier	50ug	EUR 431

ExoQuick-CG cGMP-grade Exosome Isolation reagent (50 ml)
EXOCG50A-1	SBI	50 ml	EUR 1181
Category: Exosomes

Adrenomedullin (1-50), rat
5-00619	CHI Scientific	4 x 1mg	Ask for price

Adrenomedullin (1-50), rat
HY-P1534	MedChemExpress	1mg	EUR 452

Antigen Retrieval Solution, Tris-EDTA pH 9.0 (50 ml, 100X)
ARS9-50	Alpha Diagnostics	5 L	EUR 286

BasicExoRNA? Basic RNA extraction kit (Pre-isolated exosomes, 50 reactions)
K1222-50	Biovision		EUR 1219

PLGA poly(lactic-co-glycolic) acid); synthetic; (50% lactic and 50% glycolic acid, ~30-60 Kda)
AV-2010-1	Alpha Diagnostics	0.1 g	EUR 189

Adrenomedullin (Adrenomedullin (ADM/AM, 11-50) (rat)
SP-100047-1	Alpha Diagnostics	1 mg	EUR 529

slingshot homolog 3 (SSH3)(MBP-his tagged)-50
AR09-P0024-50	Abfrontier	50ug	EUR 696

AXYPREP MAG DYECLEAN KIT- 50 ML - 5000 PREPS
MAG-DYECL-50	CORNING	1/pk	EUR 1068
Description: Bioscience Mag Beads; Magnetic Dye

RESERVOIR, POLYPROPYLENE, 50 ML, V-BOTTOM, NONSTERILE, BULK
RES-V-50	CORNING	100/pk	EUR 67
Description: Reservoirs; Reservoirs - Axygen

Human IgG/RF-adsorbent (Adsorb 50 serum samples of 100 ul)
RFAD11-50	Alpha Diagnostics	50 tests	EUR 164

PTPRC(His tagged) / Human CD45 (LCA)(His tagged)-50
AR09-P0001-50	Abfrontier	50ug	EUR 219

PTPN5(MBP-his tagged) / STEP(MBP-his tagged)-50
AR09-P0003-50	Abfrontier	50ug	EUR 160

PTPN11(MBP-his tagged) / SHP2(MBP-his tagged)-50
AR09-P0004-50	Abfrontier	50ug	EUR 447

ACP1(MBP-his tagged) / LMPTP(MBP-his tagged)-50
AR09-P0005-50	Abfrontier	50ug	EUR 219

DUSP3(MBP-his tagged) / VHR(MBP-his tagged)-50
AR09-P0006-50	Abfrontier	50ug	EUR 195

DUSP14(MBP-his tagged) / MKP6(MBP-his tagged)-50
AR09-P0007-50	Abfrontier	50ug	EUR 160

dual specificity phosphatase 12 (DUSP12)(MBP-his tagged)-50
AR09-P0017-50	Abfrontier	50ug	EUR 698

DiagNano Gold Nanoparticle Medium Covalent Conjugation Kit, 50 nm
GCK-M-50	Creative Diagnostics	1 kit	EUR 757

DiagNano Fluorophore Labeled Gold Nanoparticles, 50 nm, Cellular Uptake
GFL-50-CU	Creative Diagnostics	1mL	EUR 1365

1-Ethynyl pyrene, 50 mg
515B0	lumiprobe	50 mg	EUR 52

Pyrene azide 1, 50 mg
E1530	lumiprobe	50 mg	EUR 501

HIV-1 Rev (34-50)
HY-P1586	MedChemExpress	5mg	EUR 681

TGF a (1-50) (rat)
H-5545.0050	Bachem	50.0µg	EUR 1118
Description: Sum Formula: C244H361N71O71S6; CAS# [89899-53-6] net

TGF a (1-50) (rat)
H-5545.1000	Bachem	1.0mg	EUR 16352
Description: Sum Formula: C244H361N71O71S6; CAS# [89899-53-6] net

Human IgG-RF stripper/Adsorbent (1 ml, sufficient for stripping 50 samples of 100 ul human serum/plasma)
RFS-1	Alpha Diagnostics	1 ml	EUR 103

Cold Fusion Cloning Kit with Competent Cells (50 rxns) International Sales Only
MC101A-1	SBI	50 reactions	EUR 1129
Category: Molecular Tools

Phosphate Buffered Saline powder (PBS) pH 7.4, 50 l
12-9425-1	Medicago	50 l	EUR 115

PLGA(50:50)(8K)-PEG-Mal
abx085344-05kDa500mg	Abbexa	0.5 kDa; 500 mg	EUR 1080
Shipped within 5-10 working days.

PLGA(50:50)(8K)-PEG-Mal
abx085344-1kDa500mg	Abbexa	1 kDa; 500 mg	EUR 1205
Shipped within 5-10 working days.

PLGA(50:50)(8K)-PEG-Mal
abx085344-2kDa500mg	Abbexa	2 kDa; 500 mg	EUR 1233
Shipped within 5-10 working days.

PLGA(50:50)(8K)-PEG-Mal
abx085344-34kDa500mg	Abbexa	3.4 kDa; 500 mg	EUR 1233
Shipped within 5-10 working days.

Lanosterol, 50%
GP3911-1G	Glentham Life Sciences	1 g	EUR 52

AXYPREP FRAGMENTSELECT-I KIT- 50 ML - 380 PREPS
MAG-FRAG-I-50	CORNING	1/pk	EUR 659
Description: Bioscience Mag Beads; Magnetic Fragment Select

RESERVOIR, POLYPROPYLENE, 50 ML, V-BOTTOM, STERILE, BULK
RES-V-50-S	CORNING	5/pk	EUR 112
Description: Reservoirs; Reservoirs - Axygen

PTP4A3(MBP-his tagged) / PRL-3(MBP-his tagged)-50
AR09-P0008-50	Abfrontier	50ug	EUR 144

dual specificity phosphatase-like 15 (DUSP15)(MBP-his tagged)-50
AR09-P0018-50	Abfrontier	50ug	EUR 1154

dual specificity phosphatase-like 18 (DUSP18)(MBP-his tagged)-50
AR09-P0019-50	Abfrontier	50ug	EUR 1154

hSKRP1 mRNA for SKRP1 (NE1, DUSP19)(MBP-his tagged)-50
AR09-P0020-50	Abfrontier	50ug	EUR 1154

dual specificity phosphatase-like 21 (DUSP21)(MBP-his tagged)-50
AR09-P0021-50	Abfrontier	50ug	EUR 348

dual specificity phosphatase-like 26 (DUSP26)(MBP-his tagged)-50
AR09-P0022-50	Abfrontier	50ug	EUR 1154

protein tyrosine phosphatase zeta-polypeptide (PTPRZ)(MBP-his tagged)-50
AR09-P0025-50	Abfrontier	50ug	EUR 2080

M-phase inducer phosphatase 3 (CDC25C)(MBP-his tagged)-50
AR09-P0031-50	Abfrontier	50ug	EUR 1154

DiagNano Gold Nanorods, diameter 50 nm, absorption max 600 nm
BR-50-600	Creative Diagnostics	25 mL	EUR 720

DiagNano Gold Nanorods, diameter 50 nm, absorption max 700 nm
BR-50-700	Creative Diagnostics	25 mL	EUR 720

DiagNano Gold Nanorods, diameter 50 nm, absorption max 800 nm
BR-50-800	Creative Diagnostics	25 mL	EUR 720

100 bp DNA Ladder Plus, ready-to-use, 50 ug, 0.5 ug per lane
Z6030001-1	Biochain	100 lanes	EUR 109

PLGA(50:50)?8K?-PEG-Mal,1K
HE086022-1K-500mg	Biochempeg	500mg	EUR 667
Description: A high purity chemical with various applications in medical research, drug-release, nanotechnology and new materials research, cell culture. In the study of ligand, polypeptide synthesis support, a graft polymer compounds, new materials, and polyethylene glycol-modified functional coatings and other aspects of the active compound.

PLGA(50:50)?8K?-PEG-Mal,2K
HE086022-2K-500mg	Biochempeg	500mg	EUR 642
Description: A high purity chemical with various applications in medical research, drug-release, nanotechnology and new materials research, cell culture. In the study of ligand, polypeptide synthesis support, a graft polymer compounds, new materials, and polyethylene glycol-modified functional coatings and other aspects of the active compound.

PLGA(50:50)?8K?-PEG-Mal,3.4K
HE086022-3.4K-500mg	Biochempeg	500mg	EUR 642
Description: A high purity chemical with various applications in medical research, drug-release, nanotechnology and new materials research, cell culture. In the study of ligand, polypeptide synthesis support, a graft polymer compounds, new materials, and polyethylene glycol-modified functional coatings and other aspects of the active compound.

PLGA(50:50)?8K?-PEG-Mal,500
HE086022-500-500mg	Biochempeg	500mg	EUR 765
Description: A high purity chemical with various applications in medical research, drug-release, nanotechnology and new materials research, cell culture. In the study of ligand, polypeptide synthesis support, a graft polymer compounds, new materials, and polyethylene glycol-modified functional coatings and other aspects of the active compound.

PLGA(50:50)?8K?-PEG-Mal,5K
HE086022-5K-500mg	Biochempeg	500mg	EUR 642
Description: A high purity chemical with various applications in medical research, drug-release, nanotechnology and new materials research, cell culture. In the study of ligand, polypeptide synthesis support, a graft polymer compounds, new materials, and polyethylene glycol-modified functional coatings and other aspects of the active compound.

50 L RPMI 1640, POWDER WITH L-GLUTAMINE, WITHOUT SODIUM BICARBONATE
50-020-PC	CORNING	50 L/pk	EUR 92
Description: Media Catalog; Classical Media

protein tyrosine phosphatase, receptor type, N (PTPRN)(MBP-his tagged)-50
AR09-P0010-50	Abfrontier	50ug	EUR 698

protein tyrosine phosphatase, receptor type, O (PTPRO)(MBP-his tagged)-50
AR09-P0012-50	Abfrontier	50ug	EUR 1154

protein tyrosine phosphatase, receptor type, S (PTPRS)(MBP-his tagged)-50
AR09-P0014-50	Abfrontier	50ug	EUR 815

TruStrip RDT Chicken Serum Albumin (CSA) Rapid Test Cards, 50/pk
ALB15-RDT-50	Alpha Diagnostics	1 Pk	EUR 537

DiagNano Organic Gold Nanorods, diameter 50 nm, absorption max 700 nm
OR-50-700	Creative Diagnostics	1mL	EUR 1022

DiagNano Amine Gold Nanorods, diameter 50 nm, absorption max 700 nm
RFA-50-700	Creative Diagnostics	1 mL	EUR 1022

DiagNano Carboxyl Gold Nanorods, diameter 50 nm, absorption max 700 nm
RFC-50-700	Creative Diagnostics	1 mL	EUR 1022

DiagNano Methyl Gold Nanorods, diameter 50 nm, absorption max 700 nm
RFM-50-700	Creative Diagnostics	1 mL	EUR 1022

DiagNano NHS Gold Nanorods, diameter 50 nm, absorption max 700 nm
RFN-50-700	Creative Diagnostics	1 mL	EUR 1022

AXYPREP MAG PCR NORMALIZER KIT- 50 ML - 384 PREPS
MAG-PCR-NM-50	CORNING	1/pk	EUR 623
Description: Bioscience Mag Beads; Magnetic PCR Normaliser

RESERVOIR, POLYPROPYLENE, 50 ML, V-BOTTOM, STERILE, INDIVIDUALLY PACKAGED
RES-V-50-SI	CORNING	100/pk	EUR 139
Description: Reservoirs; Reservoirs - Axygen

1 mm, 50 m Silicone Tube
1292301	Atto	1unit	EUR 354
Description: 1 mm I .D. - 3 mm O.D.

HIV-1 rev Protein (34-50)
5-01319	CHI Scientific	4 x 1mg	Ask for price

comb 1 mm thick 50 sample
EHS1400-C50-1.0	Consort	ea	EUR 56

HIV-1 rev Protein (34-50)
H-3026.0500	Bachem	0.5mg	EUR 334
Description: Sum Formula: C97H173N51O24; CAS# [141237-50-5]

HIV-1 rev Protein (34-50)
H-3026.1000	Bachem	1.0mg	EUR 576
Description: Sum Formula: C97H173N51O24; CAS# [141237-50-5]

Human Exosome lysate positive protein control (10ug/ul), Size 50 ul
EXOAB-POS-1	SBI	500 ug	EUR 356
Category: Exosomes

AXYGEN® AXYPET® PRO 5-50 ΜL SINGLE-CHANNEL PIPETTOR, AUTOCLAVABLE
AP-50-P	CORNING	1/pk	EUR 202
Description: Corning and Axygen Liquid Handling Equipment; Axypet Pipettors and Motopet Pipet Controller

The chemical potential as a function of the depth of the Pöschl-Teller potential showed a behavior very similar to the cases of Bose-Einstein condensates and superfluid Fermi gases in optical lattices and optical superlattices. The results presented in this paper can open the way for several applications in atomic and molecular physics, solid state physics, condensed matter physics, and material sciences.